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<?covid-19-tdm?>
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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Big Data</journal-id>
<journal-title>Frontiers in Big Data</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Big Data</abbrev-journal-title>
<issn pub-type="epub">2624-909X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fdata.2023.1355080</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Big Data</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Trends of the COVID-19 dynamics in 2022 and 2023 vs. the population age, testing and vaccination levels</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Nesteruk</surname> <given-names>Igor</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/393682/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
</contrib>
</contrib-group>
<aff><institution>Institute of Hydromechanics, National Academy of Sciences of Ukraine</institution>, <addr-line>Kyiv</addr-line>, <country>Ukraine</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Dmytro Chumachenko, National Aerospace University &#x02013; Kharkiv Aviation Institute, Ukraine</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Sergiy Yakovlev, Lodz University of Technology, Poland</p>
<p>Viktoriia Alieksieieva, Technical University of Applied Sciences Wildau, Germany</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Igor Nesteruk <email>inesteruk&#x00040;yahoo.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>01</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>6</volume>
<elocation-id>1355080</elocation-id>
<history>
<date date-type="received">
<day>13</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2024 Nesteruk.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Nesteruk</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>The population, governments, and researchers show much less interest in the COVID-19 pandemic. However, many questions still need to be answered: why the much less vaccinated African continent has accumulated 15 times less deaths per capita than Europe? or why in 2023 the global value of the case fatality risk is almost twice higher than in 2022 and the UK figure is four times higher than the global one?</p></sec>
<sec>
<title>Methods</title>
<p>The averaged daily numbers of cases <italic>DCC</italic> and death <italic>DDC</italic> per million, case fatality risks <italic>DDC/DCC</italic> were calculated for 34 countries and regions with the use of John Hopkins University (JHU) datasets. Possible linear and non-linear correlations with the averaged daily numbers of tests per thousand <italic>DTC</italic>, median age of population A, and percentages of vaccinations <italic>VC</italic> and boosters <italic>BC</italic> were investigated.</p></sec>
<sec>
<title>Results</title>
<p>Strong correlations between age and <italic>DCC</italic> and <italic>DDC</italic> values were revealed. One-year increment in the median age yielded 39.8 increase in <italic>DCC</italic> values and 0.0799 <italic>DDC</italic> increase in 2022 (in 2023 these figures are 5.8 and 0.0263, respectively). With decreasing of testing level <italic>DTC</italic>, the case fatality risk can increase drastically. <italic>DCC</italic> and <italic>DDC</italic> values increase with increasing the percentages of fully vaccinated people and boosters, which definitely increase for greater A. After removing the influence of age, no correlations between vaccinations and <italic>DCC</italic> and <italic>DDC</italic> values were revealed.</p></sec>
<sec>
<title>Discussion</title>
<p>The presented analysis demonstrates that age is a pivot factor of visible (registered) part of the COVID-19 pandemic dynamics. Much younger Africa has registered less numbers of cases and death per capita due to many unregistered asymptomatic patients. Of great concern is the fact that COVID-19 mortality in 2023 in the UK is still at least 4 times higher than the global value caused by seasonal flu.</p></sec></abstract>
<kwd-group>
<kwd>COVID-19 pandemic dynamics</kwd>
<kwd>daily numbers of cases and deaths per capita</kwd>
<kwd>case fatality risk</kwd>
<kwd>mathematical modeling of infection diseases</kwd>
<kwd>statistical methods</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="5"/>
<equation-count count="16"/>
<ref-count count="34"/>
<page-count count="17"/>
<word-count count="8726"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Medicine and Public Health</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>In the fourth year of the COVID-19 pandemic, the population and governments show much less interest in it. In particular, only 39% of countries reported at least one case to WHO in the period from 31 July to 27 August 2023.<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> Thus accumulated numbers of cases <italic>CC</italic> and deaths <italic>DC</italic> per million show stabilization trends (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>) and can be used to estimate the impact of different factors on the pandemic dynamics and to answer some important questions. In particular, why the much less vaccinated African continent has accumulated 36 times less cases and 15 times less deaths per capita than Europe (see text footnote 1, COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>, and lines 26 and 27 in <xref ref-type="table" rid="T1">Table 1</xref>)? Why in 2023 the global value of the case fatality risk is almost twice higher than in 2022 and the UK figure is four times higher than the global one (Nesteruk, <xref ref-type="bibr" rid="B19">2023a</xref>)?</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Median age, accumulated numbers the COVID-19 cases and deaths per capita in 2021&#x02013;2023.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>No, <italic>i</italic></bold></th>
<th valign="top" align="left"><bold>Country or region</bold></th>
<th valign="top" align="left"><bold>Median age in years (see text footnotes 13, 14), <italic>A<sub><italic>i</italic></sub></italic></bold></th>
<th valign="top" align="left" colspan="3"><bold>Accumulated numbers of confirmed COVID-19 cases per million (COVID-19 Data, 2023)</bold></th>
<th valign="top" align="left" colspan="3"><bold>Accumulated numbers of COVID-19 related deaths per million (COVID-19 Data, 2023)</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td/>
<td/>
<td valign="top" align="left"><bold>December 31, 2021</bold>, <inline-formula><mml:math id="M1"><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>December 31, 2022</bold>, <inline-formula><mml:math id="M2"><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>September 10, 2023</bold>, <inline-formula><mml:math id="M3"><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>December 31, 2021</bold>, <inline-formula><mml:math id="M4"><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>December 31, 2022</bold>, <inline-formula><mml:math id="M5"><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>September 10, 2023</bold>, <inline-formula><mml:math id="M6"><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
</tr> <tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left">USA</td>
<td valign="top" align="left">38.5</td>
<td valign="top" align="left">158,249.8</td>
<td valign="top" align="left">293,865.4</td>
<td valign="top" align="left">305,763.9</td>
<td valign="top" align="left">2,421.163</td>
<td valign="top" align="left">3,199.789</td>
<td valign="top" align="left">3,331.912</td>
</tr> <tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left">Taiwan</td>
<td valign="top" align="left">42.3</td>
<td valign="top" align="left">712.707</td>
<td valign="top" align="left">370,284.7</td>
<td valign="top" align="left">428,515.6<sup>&#x0002A;</sup></td>
<td valign="top" align="left">35.575</td>
<td valign="top" align="left">638.377</td>
<td valign="top" align="left">795.2<sup>&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left">Hong Kong</td>
<td valign="top" align="left">45.6</td>
<td valign="top" align="left">1,689.041</td>
<td valign="top" align="left">350,605</td>
<td valign="top" align="left">389,150.1<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="left">28.442</td>
<td valign="top" align="left">1,576.608</td>
<td valign="top" align="left">1,895.5<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">India</td>
<td valign="top" align="left">28.7</td>
<td valign="top" align="left">24,583.31</td>
<td valign="top" align="left">31,526.41</td>
<td valign="top" align="left">31,751.74</td>
<td valign="top" align="left">339.465</td>
<td valign="top" align="left">374.479</td>
<td valign="top" align="left">375.414</td>
</tr> <tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">France</td>
<td valign="top" align="left">41.7</td>
<td valign="top" align="left">134,773</td>
<td valign="top" align="left">587,831.2</td>
<td valign="top" align="left">603,427.6</td>
<td valign="top" align="left">1,921.267</td>
<td valign="top" align="left">2,501.554</td>
<td valign="top" align="left">2,599.316</td>
</tr> <tr>
<td valign="top" align="left">6</td>
<td valign="top" align="left">Germany</td>
<td valign="top" align="left">47.8</td>
<td valign="top" align="left">841,31.66</td>
<td valign="top" align="left">446,707.5</td>
<td valign="top" align="left">461,051.1</td>
<td valign="top" align="left">1,411.686</td>
<td valign="top" align="left">1,987.985</td>
<td valign="top" align="left">2,098.829</td>
</tr> <tr>
<td valign="top" align="left">7</td>
<td valign="top" align="left">Brazil</td>
<td valign="top" align="left">33.2</td>
<td valign="top" align="left">103,401.9</td>
<td valign="top" align="left">168,602.6</td>
<td valign="top" align="left">175,183.5</td>
<td valign="top" align="left">2,874.028</td>
<td valign="top" align="left">3,221.972</td>
<td valign="top" align="left">3,272.712</td>
</tr> <tr>
<td valign="top" align="left">8</td>
<td valign="top" align="left">South Korea</td>
<td valign="top" align="left">43.2</td>
<td valign="top" align="left">12,259.77</td>
<td valign="top" align="left">560,818.7</td>
<td valign="top" align="left">667,207.1</td>
<td valign="top" align="left">108.558</td>
<td valign="top" align="left">622.822</td>
<td valign="top" align="left">693.495</td>
</tr> <tr>
<td valign="top" align="left">9</td>
<td valign="top" align="left">Japan</td>
<td valign="top" align="left">48.6</td>
<td valign="top" align="left">13,987.61</td>
<td valign="top" align="left">234,809.8</td>
<td valign="top" align="left">272,715.7</td>
<td valign="top" align="left">148.388</td>
<td valign="top" align="left">463.995</td>
<td valign="top" align="left">602.606</td>
</tr> <tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left">Italy</td>
<td valign="top" align="left">46.5</td>
<td valign="top" align="left">101,315.8</td>
<td valign="top" align="left">426,312.9</td>
<td valign="top" align="left">440,207.7</td>
<td valign="top" align="left">2,324.744</td>
<td valign="top" align="left">3,130.08</td>
<td valign="top" align="left">3,242.127</td>
</tr> <tr>
<td valign="top" align="left">11</td>
<td valign="top" align="left">UK</td>
<td valign="top" align="left">40.6</td>
<td valign="top" align="left">199,110</td>
<td valign="top" align="left">358,390.2</td>
<td valign="top" align="left">366,026.1</td>
<td valign="top" align="left">2,619.105</td>
<td valign="top" align="left">3,201.28</td>
<td valign="top" align="left">3,396.691</td>
</tr> <tr>
<td valign="top" align="left">12</td>
<td valign="top" align="left">Turkey</td>
<td valign="top" align="left">32.2</td>
<td valign="top" align="left">110,635.4</td>
<td valign="top" align="left">199,255.1</td>
<td valign="top" align="left">199,255.1</td>
<td valign="top" align="left">962.067</td>
<td valign="top" align="left">1,188.394</td>
<td valign="top" align="left">1,188.394</td>
</tr> <tr>
<td valign="top" align="left">13</td>
<td valign="top" align="left">Mexico</td>
<td valign="top" align="left">29.3</td>
<td valign="top" align="left">31,644.64</td>
<td valign="top" align="left">57,030.53</td>
<td valign="top" align="left">60,217.33</td>
<td valign="top" align="left">2,382.841</td>
<td valign="top" align="left">2,599.908</td>
<td valign="top" align="left">2,623.915</td>
</tr> <tr>
<td valign="top" align="left">14</td>
<td valign="top" align="left">Peru</td>
<td valign="top" align="left">29.1</td>
<td valign="top" align="left">67,181.25</td>
<td valign="top" align="left">130,816.2</td>
<td valign="top" align="left">132,711.8</td>
<td valign="top" align="left">5,949.676</td>
<td valign="top" align="left">6,407.655</td>
<td valign="top" align="left">6,504.19</td>
</tr> <tr>
<td valign="top" align="left">15</td>
<td valign="top" align="left">Iran</td>
<td valign="top" align="left">31.7</td>
<td valign="top" align="left">69,934.03</td>
<td valign="top" align="left">85,386.89</td>
<td valign="top" align="left">85,993</td>
<td valign="top" align="left">1,485.84</td>
<td valign="top" align="left">1,633.891</td>
<td valign="top" align="left">1,652.796</td>
</tr> <tr>
<td valign="top" align="left">16</td>
<td valign="top" align="left">Indonesia</td>
<td valign="top" align="left">31.1</td>
<td valign="top" align="left">15,472.59</td>
<td valign="top" align="left">24,391.22</td>
<td valign="top" align="left">24,730.83</td>
<td valign="top" align="left">523.025</td>
<td valign="top" align="left">582.981</td>
<td valign="top" align="left">587.721</td>
</tr> <tr>
<td valign="top" align="left">17</td>
<td valign="top" align="left">Canada</td>
<td valign="top" align="left">41.8</td>
<td valign="top" align="left">54,674.47</td>
<td valign="top" align="left">116,834.2</td>
<td valign="top" align="left">122,158</td>
<td valign="top" align="left">779.054</td>
<td valign="top" align="left">1,268.284</td>
<td valign="top" align="left">1,382.081</td>
</tr> <tr>
<td valign="top" align="left">18</td>
<td valign="top" align="left">South Africa</td>
<td valign="top" align="left">28.8</td>
<td valign="top" align="left">57,543.97</td>
<td valign="top" align="left">67,595.88</td>
<td valign="top" align="left">67,995.81</td>
<td valign="top" align="left">1,520.372</td>
<td valign="top" align="left">1,712.495</td>
<td valign="top" align="left">1,712.946</td>
</tr> <tr>
<td valign="top" align="left">19</td>
<td valign="top" align="left">Egypt</td>
<td valign="top" align="left">24.1</td>
<td valign="top" align="left">3,466.327</td>
<td valign="top" align="left">4,644.856</td>
<td valign="top" align="left">4,649.271</td>
<td valign="top" align="left">195.756</td>
<td valign="top" align="left">223.461</td>
<td valign="top" align="left">223.714</td>
</tr> <tr>
<td valign="top" align="left">20</td>
<td valign="top" align="left">Israel</td>
<td valign="top" align="left">30.4</td>
<td valign="top" align="left">146,252.2</td>
<td valign="top" align="left">491,245.2</td>
<td valign="top" align="left">511,817.9</td>
<td valign="top" align="left">874.061</td>
<td valign="top" align="left">1,235.475</td>
<td valign="top" align="left">1,340.353</td>
</tr> <tr>
<td valign="top" align="left">21</td>
<td valign="top" align="left">Nigeria</td>
<td valign="top" align="left">18.6</td>
<td valign="top" align="left">1,105.114</td>
<td valign="top" align="left">1,219.221</td>
<td valign="top" align="left">1,311.295</td>
<td valign="top" align="left">13.865</td>
<td valign="top" align="left">14.437</td>
<td valign="top" align="left">14.437</td>
</tr> <tr>
<td valign="top" align="left">22</td>
<td valign="top" align="left">Australia</td>
<td valign="top" align="left">37.5</td>
<td valign="top" align="left">14,004.71</td>
<td valign="top" align="left">412,017.8</td>
<td valign="top" align="left">442,814.2</td>
<td valign="top" align="left">93.325</td>
<td valign="top" align="left">680.587</td>
<td valign="top" align="left">900.471</td>
</tr> <tr>
<td valign="top" align="left">23</td>
<td valign="top" align="left">New Zealand</td>
<td valign="top" align="left">37.2</td>
<td valign="top" align="left">2,650.961</td>
<td valign="top" align="left">396,786</td>
<td valign="top" align="left">458,570.6</td>
<td valign="top" align="left">9.836</td>
<td valign="top" align="left">449.541</td>
<td valign="top" align="left">635.259</td>
</tr> <tr>
<td valign="top" align="left">24</td>
<td valign="top" align="left">Vietnam</td>
<td valign="top" align="left">31.9</td>
<td valign="top" align="left">17,632.27</td>
<td valign="top" align="left">117,379.7</td>
<td valign="top" align="left">118,378.2</td>
<td valign="top" align="left">329.922</td>
<td valign="top" align="left">439.835</td>
<td valign="top" align="left">440.039</td>
</tr> <tr>
<td valign="top" align="left">25</td>
<td valign="top" align="left">European Union</td>
<td valign="top" align="left">44.4</td>
<td valign="top" align="left">119,091.4</td>
<td valign="top" align="left">397,673.6</td>
<td valign="top" align="left">408,494.6</td>
<td valign="top" align="left">2,033.132</td>
<td valign="top" align="left">2,668.518</td>
<td valign="top" align="left">2,763.03</td>
</tr> <tr>
<td valign="top" align="left">26</td>
<td valign="top" align="left">Europe</td>
<td valign="top" align="left">42</td>
<td valign="top" align="left">116,033.4</td>
<td valign="top" align="left">325,338.4</td>
<td valign="top" align="left">334,708.4</td>
<td valign="top" align="left">2,102.787</td>
<td valign="top" align="left">2,700.244</td>
<td valign="top" align="left">2,788.427</td>
</tr> <tr>
<td valign="top" align="left">27</td>
<td valign="top" align="left">Africa</td>
<td valign="top" align="left">18</td>
<td valign="top" align="left">6,904.119</td>
<td valign="top" align="left">9,111.662</td>
<td valign="top" align="left">9,201.963</td>
<td valign="top" align="left">160.421</td>
<td valign="top" align="left">181.186</td>
<td valign="top" align="left">181.545</td>
</tr> <tr>
<td valign="top" align="left">28</td>
<td valign="top" align="left">Asia</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">17,928.47</td>
<td valign="top" align="left">58,153.69</td>
<td valign="top" align="left">63,664.54</td>
<td valign="top" align="left">266.155</td>
<td valign="top" align="left">325.065</td>
<td valign="top" align="left">345.988</td>
</tr> <tr>
<td valign="top" align="left">29</td>
<td valign="top" align="left">North America</td>
<td valign="top" align="left">35</td>
<td valign="top" align="left">106,779.6</td>
<td valign="top" align="left">199,059.8</td>
<td valign="top" align="left">207,318.4</td>
<td valign="top" align="left">2,040.378</td>
<td valign="top" align="left">2,580.998</td>
<td valign="top" align="left">2,670.316</td>
</tr> <tr>
<td valign="top" align="left">30</td>
<td valign="top" align="left">South America</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">91,280.98</td>
<td valign="top" align="left">152,849.9</td>
<td valign="top" align="left">157,558.3</td>
<td valign="top" align="left">2,730.093</td>
<td valign="top" align="left">3,071.714</td>
<td valign="top" align="left">3,104.744</td>
</tr> <tr>
<td valign="top" align="left">31</td>
<td valign="top" align="left">High income countries</td>
<td valign="top" align="left">No data</td>
<td valign="top" align="left">107,262</td>
<td valign="top" align="left">322,668.1</td>
<td valign="top" align="left">340,229.5</td>
<td valign="top" align="left">1,632.993</td>
<td valign="top" align="left">2,214.069</td>
<td valign="top" align="left">2,320.501</td>
</tr> <tr>
<td valign="top" align="left">32</td>
<td valign="top" align="left">Upper middle income countries</td>
<td valign="top" align="left">No data</td>
<td valign="top" align="left">33,103.88</td>
<td valign="top" align="left">89,499.82</td>
<td valign="top" align="left">96,734.09</td>
<td valign="top" align="left">871.032</td>
<td valign="top" align="left">1,016.661</td>
<td valign="top" align="left">1,055.513</td>
</tr> <tr>
<td valign="top" align="left">33</td>
<td valign="top" align="left">Lower middle income countries</td>
<td valign="top" align="left">No data</td>
<td valign="top" align="left">19,114.67</td>
<td valign="top" align="left">28,098.46</td>
<td valign="top" align="left">28,385.07</td>
<td valign="top" align="left">345.868</td>
<td valign="top" align="left">387.735</td>
<td valign="top" align="left">390.133</td>
</tr> <tr>
<td valign="top" align="left">34</td>
<td valign="top" align="left">The world</td>
<td valign="top" align="left">30.5</td>
<td valign="top" align="left">35,792.14</td>
<td valign="top" align="left">91,468.7</td>
<td valign="top" align="left">96,645.07</td>
<td valign="top" align="left">686.398</td>
<td valign="top" align="left">842.509</td>
<td valign="top" align="left">872.575</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>Values calculated with the use of Worldometers (see text footnotes 10, 11).</p>
<p><sup>&#x0002A;&#x0002A;</sup>Values calculated with the use of Worldometers (see text footnotes 12, 13).</p>
</table-wrap-foot>
</table-wrap>
<p>We will apply the linear and non-linear correlation analysis using accumulated relative characteristics: the numbers of cases and deaths per million (<italic>CC</italic> and <italic>DC</italic>), numbers of fully vaccinated people and boosters per hundred (<italic>VC</italic> and BC), tests per thousand (<italic>TC</italic>) available in files of John Hopkins University (JHU) (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>).</p>
<p>The impact of various factors on the COVID-19 pandemic dynamics was estimated in many papers. Some examples can be found in Byass (<xref ref-type="bibr" rid="B1">2020</xref>), Davies et al. (<xref ref-type="bibr" rid="B4">2020</xref>), Distante et al. (<xref ref-type="bibr" rid="B5">2020</xref>), Fanelli and Piazza (<xref ref-type="bibr" rid="B7">2020</xref>), Hamzah et al. (<xref ref-type="bibr" rid="B11">2020</xref>), Ng and Gui (<xref ref-type="bibr" rid="B27">2020</xref>), Chintala et al. (<xref ref-type="bibr" rid="B2">2021</xref>), Mohammadi et al. (<xref ref-type="bibr" rid="B13">2021</xref>), Nesteruk and Rodionov (<xref ref-type="bibr" rid="B23">2021</xref>, <xref ref-type="bibr" rid="B24">2022a</xref>,<xref ref-type="bibr" rid="B25">b</xref>), Pardhan and Drydakis (<xref ref-type="bibr" rid="B29">2021</xref>), Rossman et al. (<xref ref-type="bibr" rid="B30">2021</xref>), Statsenko et al. (<xref ref-type="bibr" rid="B33">2021</xref>), Nesteruk (<xref ref-type="bibr" rid="B14">2021a</xref>, <xref ref-type="bibr" rid="B18">2022</xref>), Nesteruk et al. (<xref ref-type="bibr" rid="B26">2022</xref>), and Nesteruk and Keeling (<xref ref-type="bibr" rid="B22">2023</xref>). In particular, <italic>CC</italic> values accumulated as of December 23, 2021 in Ukrainian regions and European countries showed no correlations with the size of population, its density, and the urbanization level, while <italic>DC</italic> and <italic>CFR</italic> = <italic>DC/CC</italic> values reduce with the increase of the urbanization level in European countries (Nesteruk et al., <xref ref-type="bibr" rid="B26">2022</xref>). The increase of income (Gross Domestic Product per capita) leads to increase in <italic>CC, VC, BC</italic>, and <italic>TC</italic> values, but <italic>DC</italic> and <italic>CFR</italic> demonstrate opposite trend in European countries (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>).</p>
<p>Many asymptomatic COVID-19 cases (Shang et al., <xref ref-type="bibr" rid="B32">2022</xref>; Schreiber et al., <xref ref-type="bibr" rid="B31">2023</xref>)<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref>,<xref ref-type="fn" rid="fn0003"><sup>3</sup></xref>,<xref ref-type="fn" rid="fn0004"><sup>4</sup></xref> can cause a big difference between visible and real pandemic dynamics (Nesteruk, <xref ref-type="bibr" rid="B14">2021a</xref>,<xref ref-type="bibr" rid="B15">b</xref>,<xref ref-type="bibr" rid="B16">c</xref>). That is why the higher testing level can increase the numbers of registered cases. Sometimes the testing level is too low to reveal all the cases predicted by theory. Probably such situation occurred in Japan in summer 2022 (Nesteruk, <xref ref-type="bibr" rid="B20">2023b</xref>). It was shown in Nesteruk (<xref ref-type="bibr" rid="B18">2022</xref>), that the test per case ratio <italic>TC/CC</italic> (or test positivity rate <italic>CC/TC</italic>) is very important characteristic to control the pandemic. Very strong correlation between <italic>CC</italic> and <italic>TC</italic> was revealed for values accumulated before August 1, 2022 in European and African countries (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>). Since the <italic>TC</italic> values have stopped to be updated by JHU in different days of 2022 (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>; COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>), in this study, we will investigate a correlation between the averaged daily numbers of cases <italic>DCC</italic> and tests per capita <italic>DTC</italic>.</p>
<p>The severity of SARS-CoV-2 infection increases for older patients (Statsenko et al., <xref ref-type="bibr" rid="B33">2021</xref>); almost half of the infected children can be asymptomatic (Fowlkes et al., <xref ref-type="bibr" rid="B9">2022</xref>). With the use of the statistical analysis of 2020 datasets it was shown that younger populations have less clinical cases per capita and it was predicted that &#x0201C;without effective control measures, regions with relatively older populations could see disproportionally more cases of COVID-19, particularly in the later stages of an unmitigated epidemic&#x0201D; (Davies et al., <xref ref-type="bibr" rid="B4">2020</xref>). This forecast was confirmed in Nesteruk and Keeling (<xref ref-type="bibr" rid="B22">2023</xref>) with the use of <italic>CC</italic> and <italic>DC</italic> datasets for 79 countries and regions including 10 so-called Zero-COVID countries.<xref ref-type="fn" rid="fn0005"><sup>5</sup></xref> It was shown that 1-year increment in the median age yields 12,000&#x02013;18,000 increase in <italic>CC</italic> values and 52&#x02013;83 increase in <italic>DC</italic> values. In this study, we will investigate correlations between median age <italic>A</italic> and the averaged daily numbers of cases and deaths per capita <italic>DCC</italic> and <italic>DDC</italic>, respectively.</p>
<p>The high numbers of circulating SARS-CoV-2 variants<xref ref-type="fn" rid="fn0006"><sup>6</sup></xref>,<xref ref-type="fn" rid="fn0007"><sup>7</sup></xref>,<xref ref-type="fn" rid="fn0008"><sup>8</sup></xref> and re-infected persons<xref ref-type="fn" rid="fn0009"><sup>9</sup></xref> (Flacco et al., <xref ref-type="bibr" rid="B8">2022</xref>; Guedes et al., <xref ref-type="bibr" rid="B10">2023</xref>) raise questions about the effectiveness of vaccinations. In particular, many scientists are inclined to think that the pandemic will not be stopped only through vaccination (Lazarus et al., <xref ref-type="bibr" rid="B12">2022</xref>). The non-linear correlations show that <italic>CC</italic> and <italic>DC</italic> values increase with the growth of the vaccination level <italic>VC</italic>, while <italic>CFR</italic> decreases (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>). In this study, we will investigate correlations between <italic>VC</italic> and <italic>BC</italic> values registered in 2022 and 2023 and <italic>DCC, DDC</italic>, and <italic>CFR</italic> figures. We will try also to answer the question why the number of cases and death per capita are higher in more vaccinated countries.</p></sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<p>We will use the accumulated numbers of laboratory-confirmed COVID-19 cases <italic>CC</italic><sub><italic>i</italic></sub> and deaths <italic>DC</italic><sub><italic>i</italic></sub> per million, accumulated numbers of tests per thousand <italic>TC</italic><sub><italic>i</italic></sub>, accumulated numbers of fully vaccinated people <italic>VC</italic><sub><italic>i</italic></sub> and boosters <italic>BC</italic><sub><italic>i</italic></sub> per hundred for 33 countries (shown in <xref ref-type="table" rid="T1">Tables 1</xref>, <xref ref-type="table" rid="T2">2</xref>) and the world (<italic>i</italic> = 1, 2, .. , 34). The have chosen the countries with highest numbers of accumulated cases and death [according to the recent WHO reports (see text footnote 1)], some other countries and regions listed in COVID-19 Data Repository by the Center for Systems Science and Engineering (CSSE) at Johns Hopkins University (JHU) (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>) (version of file updated on September 28, 2023). Since Chinese statistics shows some contradictions (see, e.g., Nesteruk, <xref ref-type="bibr" rid="B21">2023c</xref> or compare JHU files updated on September 28 and March 9, 2023), we have used only figures for Taiwan and Hong Kong. In particular, in <xref ref-type="table" rid="T1">Table 1</xref> we show corresponding CC<sub><italic>i</italic></sub> and <italic>DC</italic><sub><italic>i</italic></sub> values from the March-9-version of JHU file (not available on September 28). The CC<sub><italic>i</italic></sub> and <italic>DC</italic><sub><italic>i</italic></sub> values for Taiwan and Hong Kong for 2023 we have calculated with the use of Worldometers.<xref ref-type="fn" rid="fn0010"><sup>10</sup></xref>,<xref ref-type="fn" rid="fn0011"><sup>11</sup></xref>,<xref ref-type="fn" rid="fn0012"><sup>12</sup></xref>,<xref ref-type="fn" rid="fn0013"><sup>13</sup></xref> We ignore data from Ukraine and Russia to exclude the influence of military operations on the COVID-19 statistics. To take into account the average age of population, we have used the information about the median ages <italic>A</italic><sub><italic>i</italic></sub> from Earthly Data<xref ref-type="fn" rid="fn0014"><sup>14</sup></xref> and Visual Capitalist<xref ref-type="fn" rid="fn0015"><sup>15</sup></xref> (see <xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Accumulated numbers the tests per capita and percentage of fully vaccinated people and boosters in 2021-2023 (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>).</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>No, <italic>i</italic></bold></th>
<th valign="top" align="left"><bold>Country or region</bold></th>
<th valign="top" align="left" colspan="5"><bold>Accumulated numbers of tests per thousand</bold> <inline-formula><mml:math id="M7"><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula><bold>, corresponding dates and number of days</bold> <inline-formula><mml:math id="M8"><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></th>
<th valign="top" align="left" colspan="2"><bold>Numbers of fully vaccinated people per hundred as of:</bold></th>
<th valign="top" align="left" colspan="2"><bold>Numbers of boosters per hundred as of:</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td/>
<td valign="top" align="left"><inline-formula><mml:math id="M9"><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>Date in 2021</bold></td>
<td valign="top" align="left"><inline-formula><mml:math id="M10"><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>Date in 2022</bold></td>
<td valign="top" align="left"><inline-formula><mml:math id="M11"><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula><bold>, days</bold></td>
<td valign="top" align="left"><bold>July 1. 2022</bold><inline-formula><mml:math id="M12"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>July 1. 2023</bold> <inline-formula><mml:math id="M13"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>July 1. 2022</bold> <inline-formula><mml:math id="M14"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left"><bold>July 1. 2023</bold> <inline-formula><mml:math id="M15"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
</tr> <tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left">USA</td>
<td valign="top" align="left">2,155.384</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">2,708.533</td>
<td valign="top" align="left">Jun 18</td>
<td valign="top" align="left">169</td>
<td valign="top" align="left">67.33</td>
<td valign="top" align="left">69.47<sup>23</sup></td>
<td valign="top" align="left">37.91</td>
<td valign="top" align="left">40.08<sup>8</sup></td>
</tr> <tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left">Taiwan</td>
<td valign="top" align="left">208.248</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">545.749</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">173</td>
<td valign="top" align="left">81.52</td>
<td valign="top" align="left">87</td>
<td valign="top" align="left">72.89</td>
<td valign="top" align="left">106.4</td>
</tr> <tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left">Hong Kong</td>
<td valign="top" align="left">4,615.889</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">6,594.993</td>
<td valign="top" align="left">May 24</td>
<td valign="top" align="left">144</td>
<td valign="top" align="left">86.21</td>
<td valign="top" align="left">90.81</td>
<td valign="top" align="left">60.36</td>
<td valign="top" align="left">94.91</td>
</tr> <tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">India</td>
<td valign="top" align="left">481.597</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">609.938</td>
<td valign="top" align="left">Jun 21</td>
<td valign="top" align="left">172</td>
<td valign="top" align="left">64.58</td>
<td valign="top" align="left">67.17</td>
<td valign="top" align="left">3.15</td>
<td valign="top" align="left">16.04</td>
</tr> <tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">France</td>
<td valign="top" align="left">2,908.831</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">4,126.754</td>
<td valign="top" align="left">Jun 18</td>
<td valign="top" align="left">169</td>
<td valign="top" align="left">78.14</td>
<td valign="top" align="left">78.44</td>
<td valign="top" align="left">58.86</td>
<td valign="top" align="left">70.34</td>
</tr> <tr>
<td valign="top" align="left">6</td>
<td valign="top" align="left">Germany</td>
<td valign="top" align="left">1,108.669</td>
<td valign="top" align="left">Dec 26</td>
<td valign="top" align="left">1,574.021</td>
<td valign="top" align="left">Jun 12</td>
<td valign="top" align="left">168</td>
<td valign="top" align="left">76.04</td>
<td valign="top" align="left">76.24<sup>20</sup></td>
<td valign="top" align="left">68.6</td>
<td valign="top" align="left">77.72<sup>20</sup></td>
</tr> <tr>
<td valign="top" align="left">7</td>
<td valign="top" align="left">Brazil</td>
<td valign="top" align="left">308.411</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">330.912</td>
<td valign="top" align="left">March 11</td>
<td valign="top" align="left">70</td>
<td valign="top" align="left">78.52</td>
<td valign="top" align="left">81.82<sup>17</sup></td>
<td valign="top" align="left">49.7</td>
<td valign="top" align="left">58.7<sup>17</sup></td>
</tr> <tr>
<td valign="top" align="left">8</td>
<td valign="top" align="left">South Korea</td>
<td valign="top" align="left">874.47</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">1,934.578</td>
<td valign="top" align="left">Jun 15</td>
<td valign="top" align="left">166</td>
<td valign="top" align="left">85.48</td>
<td valign="top" align="left">85.64<sup>25</sup></td>
<td valign="top" align="left">73.01</td>
<td valign="top" align="left">79.76<sup>14</sup></td>
</tr> <tr>
<td valign="top" align="left">9</td>
<td valign="top" align="left">Japan</td>
<td valign="top" align="left">224.641</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">429.37</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">173</td>
<td valign="top" align="left">82.6</td>
<td valign="top" align="left">83.4<sup>22</sup></td>
<td valign="top" align="left">64.04</td>
<td valign="top" align="left">141.72<sup>22</sup></td>
</tr> <tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left">Italy</td>
<td valign="top" align="left">2,365.578</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">3,795.998</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">173</td>
<td valign="top" align="left">81.14</td>
<td valign="top" align="left">81.22</td>
<td valign="top" align="left">69.66</td>
<td valign="top" align="left">80.88</td>
</tr> <tr>
<td valign="top" align="left">11</td>
<td valign="top" align="left">UK</td>
<td valign="top" align="left">5,845.841</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">7,480.121</td>
<td valign="top" align="left">May 19</td>
<td valign="top" align="left">139</td>
<td valign="top" align="left">74.36</td>
<td valign="top" align="left">75.19<sup>10</sup></td>
<td valign="top" align="left">59.26</td>
<td valign="top" align="left">59.81<sup>9</sup></td>
</tr> <tr>
<td valign="top" align="left">12</td>
<td valign="top" align="left">Turkey</td>
<td valign="top" align="left">1,403.53</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">1,924.668</td>
<td valign="top" align="left">May 31</td>
<td valign="top" align="left">151</td>
<td valign="top" align="left">62.21<sup>6</sup></td>
<td valign="top" align="left">62.31<sup>13</sup></td>
<td valign="top" align="left">43.22<sup>6</sup></td>
<td valign="top" align="left">48.54<sup>13</sup></td>
</tr> <tr>
<td valign="top" align="left">13</td>
<td valign="top" align="left">Mexico</td>
<td valign="top" align="left">95.052</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">122.879</td>
<td valign="top" align="left">Jun 18</td>
<td valign="top" align="left">169</td>
<td valign="top" align="left">62.7<sup>3</sup></td>
<td valign="top" align="left">64.19<sup>11</sup></td>
<td valign="top" align="left">41.65<sup>3</sup></td>
<td valign="top" align="left">44.73<sup>12</sup></td>
</tr> <tr>
<td valign="top" align="left">14</td>
<td valign="top" align="left">Peru</td>
<td valign="top" align="left">646.299</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">859.283</td>
<td valign="top" align="left">April 05</td>
<td valign="top" align="left">95</td>
<td valign="top" align="left">81.44</td>
<td valign="top" align="left">84.21</td>
<td valign="top" align="left">61.41</td>
<td valign="top" align="left">90.41</td>
</tr> <tr>
<td valign="top" align="left">15</td>
<td valign="top" align="left">Iran</td>
<td valign="top" align="left">477.494</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">594.485</td>
<td valign="top" align="left">Jun 01</td>
<td valign="top" align="left">152</td>
<td valign="top" align="left">65.34<sup>2</sup></td>
<td valign="top" align="left">66.15<sup>29</sup></td>
<td valign="top" align="left">31.11<sup>2</sup></td>
<td valign="top" align="left">32.27<sup>29</sup></td>
</tr> <tr>
<td valign="top" align="left">16</td>
<td valign="top" align="left">Indonesia</td>
<td valign="top" align="left">155.199</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">217.363</td>
<td valign="top" align="left">March 21</td>
<td valign="top" align="left">80</td>
<td valign="top" align="left">61.18<sup>30</sup></td>
<td valign="top" align="left">63.48<sup>27</sup></td>
<td valign="top" align="left">17.86<sup>30</sup></td>
<td valign="top" align="left">24.99<sup>27</sup></td>
</tr> <tr>
<td valign="top" align="left">17</td>
<td valign="top" align="left">Canada</td>
<td valign="top" align="left">1,380.218</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">1,629.606</td>
<td valign="top" align="left">Jun 06</td>
<td valign="top" align="left">157</td>
<td valign="top" align="left">81.79</td>
<td valign="top" align="left">82.6<sup>15</sup></td>
<td valign="top" align="left">57.41</td>
<td valign="top" align="left">79.14<sup>15</sup></td>
</tr> <tr>
<td valign="top" align="left">18</td>
<td valign="top" align="left">South Africa</td>
<td valign="top" align="left">357.471</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">431.667</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">173</td>
<td valign="top" align="left">31.83</td>
<td valign="top" align="left">35.13<sup>26</sup></td>
<td valign="top" align="left">5.79</td>
<td valign="top" align="left">7.36<sup>26</sup></td>
</tr> <tr>
<td valign="top" align="left">19</td>
<td valign="top" align="left">Egypt</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">109.415</td>
<td valign="top" align="left">May 01</td>
<td/>
<td valign="top" align="left">33.6<sup>5</sup></td>
<td valign="top" align="left">38.15<sup>24</sup></td>
<td valign="top" align="left">5.03<sup>5</sup></td>
<td valign="top" align="left">13.71<sup>24</sup></td>
</tr> <tr>
<td valign="top" align="left">20</td>
<td valign="top" align="left">Israel</td>
<td valign="top" align="left">3,637.259</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">5,573.137</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">173</td>
<td valign="top" align="left">65.09</td>
<td valign="top" align="left">65.19<sup>21</sup></td>
<td valign="top" align="left">56.45</td>
<td valign="top" align="left">61.03<sup>21</sup></td>
</tr> <tr>
<td valign="top" align="left">21</td>
<td valign="top" align="left">Nigeria</td>
<td valign="top" align="left">17.916</td>
<td valign="top" align="left">Dec 26</td>
<td valign="top" align="left">24.74</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">178</td>
<td valign="top" align="left">9.6<sup>4</sup></td>
<td valign="top" align="left">31.94<sup>16</sup></td>
<td valign="top" align="left">0.54<sup>4</sup></td>
<td valign="top" align="left">5.63<sup>16</sup></td>
</tr> <tr>
<td valign="top" align="left">22</td>
<td valign="top" align="left">Australia</td>
<td valign="top" align="left">2,120.241</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">2,830.525</td>
<td valign="top" align="left">Jun 22</td>
<td valign="top" align="left">173</td>
<td valign="top" align="left">82.7<sup>3</sup></td>
<td valign="top" align="left">82.7<sup>18</sup></td>
<td valign="top" align="left">62.19</td>
<td valign="top" align="left">75.6<sup>15</sup></td>
</tr> <tr>
<td valign="top" align="left">23</td>
<td valign="top" align="left">New Zealand</td>
<td valign="top" align="left">1,087.221</td>
<td valign="top" align="left">Dec 31</td>
<td valign="top" align="left">1,416.09</td>
<td valign="top" align="left">Jun 23</td>
<td valign="top" align="left">174</td>
<td valign="top" align="left">79.34</td>
<td valign="top" align="left">80.66<sup>19</sup></td>
<td valign="top" align="left">52.95</td>
<td valign="top" align="left">68.81<sup>19</sup></td>
</tr> <tr>
<td valign="top" align="left">24</td>
<td valign="top" align="left">Vietnam</td>
<td valign="top" align="left">765.759</td>
<td valign="top" align="left">Dec 30</td>
<td valign="top" align="left">880.538</td>
<td valign="top" align="left">Jun 20</td>
<td valign="top" align="left">172</td>
<td valign="top" align="left">81.67<sup>7</sup></td>
<td valign="top" align="left">87.55<sup>28</sup></td>
<td valign="top" align="left">57.03<sup>1</sup></td>
<td valign="top" align="left">59.05<sup>28</sup></td>
</tr> <tr>
<td valign="top" align="left">25</td>
<td valign="top" align="left">European Union</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">72.56</td>
<td valign="top" align="left">72.86</td>
<td valign="top" align="left">52.15</td>
<td valign="top" align="left">62.09</td>
</tr> <tr>
<td valign="top" align="left">26</td>
<td valign="top" align="left">Europe</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">65.26</td>
<td valign="top" align="left">66.21</td>
<td valign="top" align="left">40.44</td>
<td valign="top" align="left">48.22</td>
</tr> <tr>
<td valign="top" align="left">27</td>
<td valign="top" align="left">Africa</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">17.89</td>
<td valign="top" align="left">31.36</td>
<td valign="top" align="left">2.1</td>
<td valign="top" align="left">6.4</td>
</tr> <tr>
<td valign="top" align="left">28</td>
<td valign="top" align="left">Asia</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">70.16</td>
<td valign="top" align="left">73.22</td>
<td valign="top" align="left">28.35</td>
<td valign="top" align="left">38.23</td>
</tr> <tr>
<td valign="top" align="left">29</td>
<td valign="top" align="left">North America</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">63.72</td>
<td valign="top" align="left">65.7</td>
<td valign="top" align="left">37.23</td>
<td valign="top" align="left">41.9</td>
</tr> <tr>
<td valign="top" align="left">30</td>
<td valign="top" align="left">South America</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">74.75</td>
<td valign="top" align="left">77.12</td>
<td valign="top" align="left">47.5</td>
<td valign="top" align="left">58.31</td>
</tr> <tr>
<td valign="top" align="left">31</td>
<td valign="top" align="left">High income countries</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">73.18</td>
<td valign="top" align="left">74.3</td>
<td valign="top" align="left">51.83</td>
<td valign="top" align="left">66.37</td>
</tr> <tr>
<td valign="top" align="left">32</td>
<td valign="top" align="left">Upper middle income countries</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">77.15</td>
<td valign="top" align="left">78.74</td>
<td valign="top" align="left">45.55</td>
<td valign="top" align="left">49.97</td>
</tr> <tr>
<td valign="top" align="left">33</td>
<td valign="top" align="left">Lower middle income countries</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">53.28</td>
<td valign="top" align="left">59.36</td>
<td valign="top" align="left">9.17</td>
<td valign="top" align="left">19.35</td>
</tr> <tr>
<td valign="top" align="left">34</td>
<td valign="top" align="left">The world</td>
<td valign="top" align="left">No data</td>
<td/>
<td valign="top" align="left">No data</td>
<td/>
<td/>
<td valign="top" align="left">60.07</td>
<td valign="top" align="left">64.66</td>
<td valign="top" align="left">26.58</td>
<td valign="top" align="left">34.93</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Figures corresponding to different days in 2022:</p>
<p>May: <sup>1</sup>&#x02212;18.</p>
<p>June: <sup>2</sup>&#x02212;1; <sup>3</sup>&#x02212;17; <sup>4</sup>&#x02212;19; <sup>5</sup>&#x02212;29; <sup>6</sup>&#x02212;30; <sup>30</sup>&#x02212;21.</p>
<p>July: <sup>7</sup>&#x02212;7.</p>
<p>September: <sup>8</sup>&#x02212;1; <sup>9</sup>&#x02212;4; <sup>10</sup>&#x02212;11.</p>
<p>October: <sup>11</sup>&#x02212;7.</p>
<p>November: <sup>12</sup>&#x02212;18; <sup>13</sup>&#x02212;22.</p>
<p>December: <sup>14</sup>&#x02212;12.</p>
<p>Figures corresponding to different days in 2023:</p>
<p>February: <sup>15</sup>&#x02212;2.</p>
<p>March: <sup>16</sup>&#x02212;19; <sup>17</sup>&#x02212;22; <sup>18</sup>&#x02212;24.</p>
<p>April: <sup>19</sup>&#x02212;4; <sup>20</sup>&#x02212;7.</p>
<p>May: <sup>21</sup>&#x02212;4; <sup>22</sup>&#x02212;7; <sup>23</sup>&#x02212;9; <sup>24</sup>&#x02212;21; <sup>25</sup>&#x02212;26.</p>
<p>June: <sup>26</sup>&#x02212;4; <sup>27</sup>&#x02212;6; <sup>28</sup>&#x02212;30.</p>
<p>July: <sup>29</sup>&#x02212;4.</p>
</table-wrap-foot>
</table-wrap>
<p>To calculate the averaged daily numbers of cases <italic>DCC</italic> and deaths <italic>DDC</italic> per million in 2022 and 2023 we will use simple formulas:</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M16"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x02003;</mml:mtext><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E2"><label>(2)</label><mml:math id="M17"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x02003;</mml:mtext><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>T</italic><sub>1</sub> =365 and <italic>T</italic><sub>2</sub> =252. The <italic>CFR</italic> values corresponding to 2022 and 2023 can be calculated as follows:</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M18"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x02003;</mml:mtext><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The total average <inline-formula><mml:math id="M19"><mml:msubsup><mml:mrow><mml:mi>CFR</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> levels (during the entire period of the COVID-19 pandemic) can be calculated for every country and region:</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M20"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>To estimate the average daily numbers of tests per thousand, we will use the formula:</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M21"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>D</mml:mi><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Durations of corresponding periods of time <inline-formula><mml:math id="M22"><mml:msup><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:math></inline-formula> are listed in <xref ref-type="table" rid="T2">Table 2</xref>. Unfortunately, the testing data is not available for many countries and regions.</p>
<p>We will use the linear regression to calculate the regression coefficients <italic>r</italic> and the optimal values of parameters <italic>a</italic> and <italic>b</italic> for corresponding best fitting straight lines (Draper and Smith, <xref ref-type="bibr" rid="B6">1998</xref>):</p>
<disp-formula id="E6"><label>(6)</label><mml:math id="M23"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mi>b</mml:mi><mml:mi>x</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where explanatory variables <italic>x</italic> will be A, DTC, VC, and BC and dependent variables <italic>y</italic> will be DCC, DDC, CFR, DTC, VC, and BC.</p>
<p>We will use also the F-test for the null hypothesis that says that the proposed linear relationship (6) fits the data sets. The experimental values of the Fisher function can be calculated using the formula:</p>
<disp-formula id="E7"><label>(7)</label><mml:math id="M24"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>n</italic> is the number of observations (number of countries and regions taken for statistical analysis); <italic>m</italic>=2 is the number of parameters in the regression equation (Draper and Smith, <xref ref-type="bibr" rid="B6">1998</xref>). The corresponding experimental values <italic>F</italic> have to be compared with the critical values <italic>F</italic><sub><italic>C</italic></sub>(<italic>k</italic><sub>1</sub>, <italic>k</italic><sub>2</sub>) of the Fisher function at a desired significance or confidence level (<italic>k</italic><sub>1</sub> &#x0003D; <italic>m</italic>&#x02212;1, <italic>k</italic><sub>2</sub> &#x0003D; <italic>n</italic>&#x02212;<italic>m</italic>, see, e.g., Appendix<xref ref-type="fn" rid="fn0016"><sup>16</sup></xref>). If <italic>F</italic>/<italic>F</italic><sub><italic>C</italic></sub>(<italic>k</italic><sub>1</sub>, <italic>k</italic><sub>2</sub>) &#x0003C; 1, the correlation is not supported by the results of observations. The highest values of <italic>F</italic>/<italic>F</italic><sub><italic>C</italic></sub>(<italic>k</italic><sub>1</sub>, <italic>k</italic><sub>2</sub>) correspond to the most reliable correlation.</p>
<p>We will use also non-linear regression:</p>
<disp-formula id="E8"><label>(8)</label><mml:math id="M25"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>c</mml:mi><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B3;</mml:mi></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>which can be reduced to the linear one by introducing new variables (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>):</p>
<disp-formula id="E9"><label>(9)</label><mml:math id="M26"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>z</mml:mi><mml:mo>&#x02261;</mml:mo><mml:mo class="qopname">log</mml:mo><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mo class="qopname">log</mml:mo><mml:mi>c</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mi>&#x003B3;</mml:mi><mml:mi>w</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x02003;</mml:mtext><mml:mi>w</mml:mi><mml:mo>&#x02261;</mml:mo><mml:mo class="qopname">log</mml:mo><mml:mi>x</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Unfortunately, the testing data are almost not available in 2023, since the population and governments show much less interest in the COVID-19 pandemic. This fact and scattered dates of fixing the <italic>VC</italic> and <italic>BC</italic> values (see <xref ref-type="table" rid="T2">Table 2</xref>) complicate a full-fledged statistical analysis.</p></sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>The results of calculations with the use of <xref ref-type="disp-formula" rid="E1">Equations (1</xref>&#x02013;<xref ref-type="disp-formula" rid="E5">5</xref>) are listed in <xref ref-type="table" rid="T3">Table 3</xref> and shown in <xref ref-type="fig" rid="F1">Figures 1</xref>&#x02013;<xref ref-type="fig" rid="F3">3</xref> vs. median age, testing level <italic>DTC</italic>, percentage of fully vaccinated persons <inline-formula><mml:math id="M27"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> (for 2022) and <inline-formula><mml:math id="M28"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula>(for 2023), and numbers of boosters per hundred <inline-formula><mml:math id="M29"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> (for 2022) and<inline-formula><mml:math id="M30"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> (for 2023). The averaged daily numbers of cases decreased drastically in 2023 in comparison with corresponding values in 2022 (compare <italic>DCC</italic> <sup>(2)</sup> and <italic>DCC</italic> <sup>(1)</sup> values in <xref ref-type="table" rid="T3">Table 3</xref> or &#x0201C;triangles&#x0201D; and &#x0201C;circles&#x0201D; in <xref ref-type="fig" rid="F1">Figure 1</xref>, the only exception is Nigeria). The global figure of average daily cases has diminished 7.4 times in 2023 (see the last row of <xref ref-type="table" rid="T3">Table 3</xref>). Turkey has stopped to show new cases in 2023. USA, China, Japan do not report any COVID-19 cases and related deaths since May 15, 2023 (see text footnote 1).</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>The results of calculations of average daily characteristics with the use of <xref ref-type="disp-formula" rid="E1">Equations (1</xref>&#x02013;<xref ref-type="disp-formula" rid="E4">4</xref>).</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>No, <italic>i</italic></bold></th>
<th valign="top" align="left"><bold>Country or region</bold></th>
<th valign="top" align="left" colspan="2"><bold>Average daily numbers of COVID-19 cases per million</bold>, <italic><bold>DCC<sup>(j)</sup></bold></italic></th>
<th valign="top" align="left" colspan="2"><bold>Average daily numbers of deaths per million</bold>, <italic><bold>DDC<sup>(j)</sup></bold></italic></th>
<th valign="top" align="left" colspan="3"><bold>Case fatality risks</bold></th>
<th valign="top" align="left"><bold>Average daily numbers of tests per thousand, <italic>DTC<sub><italic>i</italic></sub></italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td/>
<td valign="top" align="left"><bold>2022</bold></td>
<td valign="top" align="left"><bold>2023</bold></td>
<td valign="top" align="left"><bold>2022</bold></td>
<td valign="top" align="left"><bold>2023</bold></td>
<td valign="top" align="left"><bold>2022</bold>, <italic><bold>CFR</bold><sup>(1)</sup></italic></td>
<td valign="top" align="left"><bold>2023</bold>, <italic><bold>CFR</bold><sup>(2)</sup></italic></td>
<td valign="top" align="left"><bold>Total</bold>, <italic><bold>CFR</bold><sup>&#x0002A;</sup></italic>, <bold><xref ref-type="disp-formula" rid="E4">Equation (4)</xref></bold></td>
<td/>
</tr> <tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left">USA</td>
<td valign="top" align="left">371.55</td>
<td valign="top" align="left">47.22</td>
<td valign="top" align="left">2.1332</td>
<td valign="top" align="left">0.5243</td>
<td valign="top" align="left">0.00574</td>
<td valign="top" align="left">0.0111</td>
<td valign="top" align="left">0.0109</td>
<td valign="top" align="left">3.27</td>
</tr> <tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left">Taiwan</td>
<td valign="top" align="left">1,012.53</td>
<td valign="top" align="left">231.08</td>
<td valign="top" align="left">1.6515</td>
<td valign="top" align="left">0.6223</td>
<td valign="top" align="left">0.00163</td>
<td valign="top" align="left">0.00269</td>
<td valign="top" align="left">0.00186</td>
<td valign="top" align="left">1.95</td>
</tr> <tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left">Hong Kong</td>
<td valign="top" align="left">955.93</td>
<td valign="top" align="left">152.96</td>
<td valign="top" align="left">4.2416</td>
<td valign="top" align="left">1.2654</td>
<td valign="top" align="left">0.00444</td>
<td valign="top" align="left">0.00827</td>
<td valign="top" align="left">0.00487</td>
<td valign="top" align="left">13.74</td>
</tr> <tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">India</td>
<td valign="top" align="left">19.02</td>
<td valign="top" align="left">0.89</td>
<td valign="top" align="left">0.0959</td>
<td valign="top" align="left">0.00371</td>
<td valign="top" align="left">0.00504</td>
<td valign="top" align="left">0.00415</td>
<td valign="top" align="left">0.0118</td>
<td valign="top" align="left">0.75</td>
</tr> <tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">France</td>
<td valign="top" align="left">1,241.26</td>
<td valign="top" align="left">61.89</td>
<td valign="top" align="left">1.5898</td>
<td valign="top" align="left">0.3879</td>
<td valign="top" align="left">0.00128</td>
<td valign="top" align="left">0.00627</td>
<td valign="top" align="left">0.00431</td>
<td valign="top" align="left">7.21</td>
</tr> <tr>
<td valign="top" align="left">6</td>
<td valign="top" align="left">Germany</td>
<td valign="top" align="left">993.35</td>
<td valign="top" align="left">56.92</td>
<td valign="top" align="left">1.5789</td>
<td valign="top" align="left">0.4399</td>
<td valign="top" align="left">0.00159</td>
<td valign="top" align="left">0.00772</td>
<td valign="top" align="left">0.00455</td>
<td valign="top" align="left">2.77</td>
</tr> <tr>
<td valign="top" align="left">7</td>
<td valign="top" align="left">Brazil</td>
<td valign="top" align="left">178.63</td>
<td valign="top" align="left">26.11</td>
<td valign="top" align="left">0.9533</td>
<td valign="top" align="left">0.2013</td>
<td valign="top" align="left">0.00534</td>
<td valign="top" align="left">0.00771</td>
<td valign="top" align="left">0.0187</td>
<td valign="top" align="left">0.32</td>
</tr> <tr>
<td valign="top" align="left">8</td>
<td valign="top" align="left">South Korea</td>
<td valign="top" align="left">1,502.90</td>
<td valign="top" align="left">422.18</td>
<td valign="top" align="left">1.4089</td>
<td valign="top" align="left">0.2804</td>
<td valign="top" align="left">0.000937</td>
<td valign="top" align="left">0.000664</td>
<td valign="top" align="left">0.00104</td>
<td valign="top" align="left">6.39</td>
</tr> <tr>
<td valign="top" align="left">9</td>
<td valign="top" align="left">Japan</td>
<td valign="top" align="left">604.99</td>
<td valign="top" align="left">150.42</td>
<td valign="top" align="left">0.8647</td>
<td valign="top" align="left">0.5500</td>
<td valign="top" align="left">0.00142</td>
<td valign="top" align="left">0.00365</td>
<td valign="top" align="left">0.00221</td>
<td valign="top" align="left">1.18</td>
</tr> <tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left">Italy</td>
<td valign="top" align="left">890.40</td>
<td valign="top" align="left">55.14</td>
<td valign="top" align="left">2.2064</td>
<td valign="top" align="left">0.4446</td>
<td valign="top" align="left">0.00248</td>
<td valign="top" align="left">0.00806</td>
<td valign="top" align="left">0.00736</td>
<td valign="top" align="left">8.27</td>
</tr> <tr>
<td valign="top" align="left">11</td>
<td valign="top" align="left">UK</td>
<td valign="top" align="left">436.38</td>
<td valign="top" align="left">30.30</td>
<td valign="top" align="left">1.5950</td>
<td valign="top" align="left">0.7754</td>
<td valign="top" align="left">0.00366</td>
<td valign="top" align="left">0.02559</td>
<td valign="top" align="left">0.00928</td>
<td valign="top" align="left">11.76</td>
</tr> <tr>
<td valign="top" align="left">12</td>
<td valign="top" align="left">Turkey</td>
<td valign="top" align="left">242.79</td>
<td valign="top" align="left">0</td>
<td valign="top" align="left">0.6201</td>
<td valign="top" align="left">0</td>
<td valign="top" align="left">0.00255</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">0.00596</td>
<td valign="top" align="left">3.45</td>
</tr> <tr>
<td valign="top" align="left">13</td>
<td valign="top" align="left">Mexico</td>
<td valign="top" align="left">69.55</td>
<td valign="top" align="left">12.65</td>
<td valign="top" align="left">0.5947</td>
<td valign="top" align="left">0.09527</td>
<td valign="top" align="left">0.00855</td>
<td valign="top" align="left">0.00753</td>
<td valign="top" align="left">0.0436</td>
<td valign="top" align="left">0.16</td>
</tr> <tr>
<td valign="top" align="left">14</td>
<td valign="top" align="left">Peru</td>
<td valign="top" align="left">174.34</td>
<td valign="top" align="left">7.52</td>
<td valign="top" align="left">1.2547</td>
<td valign="top" align="left">0.3831</td>
<td valign="top" align="left">0.00720</td>
<td valign="top" align="left">0.05093</td>
<td valign="top" align="left">0.0490</td>
<td valign="top" align="left">2.24</td>
</tr> <tr>
<td valign="top" align="left">15</td>
<td valign="top" align="left">Iran</td>
<td valign="top" align="left">42.34</td>
<td valign="top" align="left">2.41</td>
<td valign="top" align="left">0.4056</td>
<td valign="top" align="left">0.07502</td>
<td valign="top" align="left">0.00958</td>
<td valign="top" align="left">0.03119</td>
<td valign="top" align="left">0.0192</td>
<td valign="top" align="left">0.77</td>
</tr> <tr>
<td valign="top" align="left">16</td>
<td valign="top" align="left">Indonesia</td>
<td valign="top" align="left">24.43</td>
<td valign="top" align="left">1.35</td>
<td valign="top" align="left">0.1643</td>
<td valign="top" align="left">0.01881</td>
<td valign="top" align="left">0.00672</td>
<td valign="top" align="left">0.01396</td>
<td valign="top" align="left">0.0238</td>
<td valign="top" align="left">0.78</td>
</tr> <tr>
<td valign="top" align="left">17</td>
<td valign="top" align="left">Canada</td>
<td valign="top" align="left">170.30</td>
<td valign="top" align="left">21.13</td>
<td valign="top" align="left">1.3404</td>
<td valign="top" align="left">0.4516</td>
<td valign="top" align="left">0.00787</td>
<td valign="top" align="left">0.02138</td>
<td valign="top" align="left">0.0113</td>
<td valign="top" align="left">1.59</td>
</tr> <tr>
<td valign="top" align="left">18</td>
<td valign="top" align="left">South Africa</td>
<td valign="top" align="left">27.53</td>
<td valign="top" align="left">1.59</td>
<td valign="top" align="left">0.5264</td>
<td valign="top" align="left">0.00179</td>
<td valign="top" align="left">0.01911</td>
<td valign="top" align="left">0.00113</td>
<td valign="top" align="left">0.0252</td>
<td valign="top" align="left">0.43</td>
</tr> <tr>
<td valign="top" align="left">19</td>
<td valign="top" align="left">Egypt</td>
<td valign="top" align="left">3.22</td>
<td valign="top" align="left">0.0175</td>
<td valign="top" align="left">0.0759</td>
<td valign="top" align="left">0.001004</td>
<td valign="top" align="left">0.02351</td>
<td valign="top" align="left">0.05730</td>
<td valign="top" align="left">0.0481</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">20</td>
<td valign="top" align="left">Israel</td>
<td valign="top" align="left">945.19</td>
<td valign="top" align="left">81.64</td>
<td valign="top" align="left">0.9902</td>
<td valign="top" align="left">0.4161</td>
<td valign="top" align="left">0.00105</td>
<td valign="top" align="left">0.00510</td>
<td valign="top" align="left">0.00262</td>
<td valign="top" align="left">11.19</td>
</tr> <tr>
<td valign="top" align="left">21</td>
<td valign="top" align="left">Nigeria</td>
<td valign="top" align="left">0.31</td>
<td valign="top" align="left">0.365</td>
<td valign="top" align="left">0.001567</td>
<td valign="top" align="left">0</td>
<td valign="top" align="left">0.00501</td>
<td valign="top" align="left">0</td>
<td valign="top" align="left">0.0110</td>
<td valign="top" align="left">0.0383</td>
</tr> <tr>
<td valign="top" align="left">22</td>
<td valign="top" align="left">Australia</td>
<td valign="top" align="left">1,090.44</td>
<td valign="top" align="left">122.21</td>
<td valign="top" align="left">1.6089</td>
<td valign="top" align="left">0.8726</td>
<td valign="top" align="left">0.00148</td>
<td valign="top" align="left">0.00713</td>
<td valign="top" align="left">0.00203</td>
<td valign="top" align="left">4.11</td>
</tr> <tr>
<td valign="top" align="left">23</td>
<td valign="top" align="left">New Zealand</td>
<td valign="top" align="left">1,079.82</td>
<td valign="top" align="left">245.18</td>
<td valign="top" align="left">1.2047</td>
<td valign="top" align="left">0.7370</td>
<td valign="top" align="left">0.00112</td>
<td valign="top" align="left">0.00301</td>
<td valign="top" align="left">0.00139</td>
<td valign="top" align="left">1.89</td>
</tr> <tr>
<td valign="top" align="left">24</td>
<td valign="top" align="left">Vietnam</td>
<td valign="top" align="left">273.28</td>
<td valign="top" align="left">3.96</td>
<td valign="top" align="left">0.3011</td>
<td valign="top" align="left">0.0008095</td>
<td valign="top" align="left">0.00110</td>
<td valign="top" align="left">0.000204</td>
<td valign="top" align="left">0.00371</td>
<td valign="top" align="left">0.67</td>
</tr> <tr>
<td valign="top" align="left">25</td>
<td valign="top" align="left">European Union</td>
<td valign="top" align="left">763.24</td>
<td valign="top" align="left">42.94</td>
<td valign="top" align="left">1.7408</td>
<td valign="top" align="left">0.3750</td>
<td valign="top" align="left">0.00228</td>
<td valign="top" align="left">0.00873</td>
<td valign="top" align="left">0.00676</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">26</td>
<td valign="top" align="left">Europe</td>
<td valign="top" align="left">573.43</td>
<td valign="top" align="left">37.18</td>
<td valign="top" align="left">1.6369</td>
<td valign="top" align="left">0.3499</td>
<td valign="top" align="left">0.00285</td>
<td valign="top" align="left">0.00941</td>
<td valign="top" align="left">0.00833</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">27</td>
<td valign="top" align="left">Africa</td>
<td valign="top" align="left">6.05</td>
<td valign="top" align="left">0.358</td>
<td valign="top" align="left">0.05689</td>
<td valign="top" align="left">0.001425</td>
<td valign="top" align="left">0.00941</td>
<td valign="top" align="left">0.00398</td>
<td valign="top" align="left">0.0197</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">28</td>
<td valign="top" align="left">Asia</td>
<td valign="top" align="left">110.21</td>
<td valign="top" align="left">21.86</td>
<td valign="top" align="left">0.1613</td>
<td valign="top" align="left">0.08303</td>
<td valign="top" align="left">0.00146</td>
<td valign="top" align="left">0.00380</td>
<td valign="top" align="left">0.00543</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">29</td>
<td valign="top" align="left">North America</td>
<td valign="top" align="left">252.82</td>
<td valign="top" align="left">32.77</td>
<td valign="top" align="left">1.4811</td>
<td valign="top" align="left">0.3544</td>
<td valign="top" align="left">0.00586</td>
<td valign="top" align="left">0.01082</td>
<td valign="top" align="left">0.0129</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">30</td>
<td valign="top" align="left">South America</td>
<td valign="top" align="left">168.68</td>
<td valign="top" align="left">18.68</td>
<td valign="top" align="left">0.9360</td>
<td valign="top" align="left">0.1311</td>
<td valign="top" align="left">0.00555</td>
<td valign="top" align="left">0.00702</td>
<td valign="top" align="left">0.0197</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">31</td>
<td valign="top" align="left">High income countries</td>
<td valign="top" align="left">590.15</td>
<td valign="top" align="left">69.68</td>
<td valign="top" align="left">1.5920</td>
<td valign="top" align="left">0.4223</td>
<td valign="top" align="left">0.00270</td>
<td valign="top" align="left">0.00606</td>
<td valign="top" align="left">0.00682</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">32</td>
<td valign="top" align="left">Upper middle income countries</td>
<td valign="top" align="left">154.51</td>
<td valign="top" align="left">28.71</td>
<td valign="top" align="left">0.3990</td>
<td valign="top" align="left">0.1541</td>
<td valign="top" align="left">0.00258</td>
<td valign="top" align="left">0.00537</td>
<td valign="top" align="left">0.0109</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">33</td>
<td valign="top" align="left">Lower middle income countries</td>
<td valign="top" align="left">24.61</td>
<td valign="top" align="left">1.14</td>
<td valign="top" align="left">0.1147</td>
<td valign="top" align="left">0.009516</td>
<td valign="top" align="left">0.00466</td>
<td valign="top" align="left">0.00837</td>
<td valign="top" align="left">0.0137</td>
<td valign="top" align="left">&#x02013;</td>
</tr> <tr>
<td valign="top" align="left">34</td>
<td valign="top" align="left">The world</td>
<td valign="top" align="left">152.54</td>
<td valign="top" align="left">20.54</td>
<td valign="top" align="left">0.4277</td>
<td valign="top" align="left">0.1193</td>
<td valign="top" align="left">0.00280</td>
<td valign="top" align="left">0.00581</td>
<td valign="top" align="left">0.00903</td>
<td valign="top" align="left">&#x02013;</td>
</tr></tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Averaged daily numbers of COVID-19 cases per million in 2022 (&#x0201C;circles&#x0201D;) and 2023 (&#x0201C;triangles&#x0201D;) vs. median age (blue) and levels of vaccinations (green), boosters (magenta) and testing (black). Best fitting lines are solid for 2023 and dashed for 2022. The UK data are located in red circles. The values corresponding to EU, continents and the world are duplicated by lager markers. Red curve represents the results of non-linear correlation (<xref ref-type="disp-formula" rid="E10">Equation 10</xref>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fdata-06-1355080-g0001.tif"/>
</fig>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Averaged daily numbers of COVID-19 related deaths per million in 2022 (&#x0201C;circles&#x0201D;) and 2023 (&#x0201C;triangles&#x0201D;) vs. median age (blue) and levels of vaccinations (green), boosters (magenta) and testing (black). Best fitting lines are solid for 2023 and dashed for 2022. The UK data are located in red circles. The values corresponding to EU, continents and the world are duplicated by lager markers. Red curve represents the results of non-linear correlation (<xref ref-type="disp-formula" rid="E11">Equation 11</xref>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fdata-06-1355080-g0002.tif"/>
</fig>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Case fatality risks in 2022 (&#x0201C;circles&#x0201D;) and 2023 (&#x0201C;triangles&#x0201D;) vs. median age (blue) and levels of vaccinations (green), boosters (magenta) and testing (black). Best fitting lines are solid for 2023 and dashed for 2022. The dotted lines correspond to the correlations that are not supported at the significance level 0.01. The UK data are located in red circles. Red curve represents the results of non-linear correlation (<xref ref-type="disp-formula" rid="E12">Equation 12</xref>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fdata-06-1355080-g0003.tif"/>
</fig>
<p>In 2023 the averaged daily numbers of deaths significantly decreased in all countries and regions (compare <italic>DDC</italic> <sup>(2)</sup> and <italic>DDC</italic> <sup>(1)</sup> values in <xref ref-type="table" rid="T3">Table 3</xref> or &#x0201C;triangles&#x0201D; and &#x0201C;circles&#x0201D; in <xref ref-type="fig" rid="F2">Figure 2</xref>), yielding 3.6 times decrease in global <italic>DDC</italic> figures (see the last row of <xref ref-type="table" rid="T3">Table 3</xref>). Seasonal global influenza mortality is between 294 and 518 thousand in the period from 2002 to 2011 (Paget et al., <xref ref-type="bibr" rid="B28">2019</xref>). After dividing the presented figures over the world population 8,060.5 million (see text footnote 14) and 365 days, the corresponding averaged daily number of deaths per million <italic>DDC</italic><sub>(<italic>infl</italic>)</sub> will range between 0.1 and 0.18. The global value of <inline-formula><mml:math id="M31"><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>34</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.1193 is comparable with the influenza mortality, but in 2023 in many countries (including the UK) the corresponding <italic>DDC</italic><sup>(2)</sup> values are much higher than <italic>DDC</italic><sub>(<italic>infl</italic>)</sub>(see <xref ref-type="table" rid="T3">Table 3</xref>).</p>
<p>The global case fatality risk in 2023 is approximately twice higher than in 2022 despite of the increase in percentages of fully vaccinated people and boosters (see the last rows of <xref ref-type="table" rid="T2">Tables 2</xref>, <xref ref-type="table" rid="T3">3</xref>). In 2023 the <italic>CFR</italic> values were lower only in India, South Korea, Mexico, South Africa, Nigeria, Vietnam and Africa (compare corresponding columns in <xref ref-type="table" rid="T3">Table 3</xref>). There are countries with drastic growth of the <italic>CFR</italic> values in 2023 in comparison with 2022 (for example, almost seven times for the UK and Peru). In 2023 only Egypt, Peru and Iran have higher case fatality risks than in the UK (see <xref ref-type="table" rid="T3">Table 3</xref>; the markers corresponding to the UK are placed inside red circles in <xref ref-type="fig" rid="F1">Figures 1</xref>&#x02013;<xref ref-type="fig" rid="F3">3</xref>).</p>
<p>There are countries with traditional high levels of <italic>CFR</italic>. To smooth temporarily fluctuations, the total average <inline-formula><mml:math id="M32"><mml:msubsup><mml:mrow><mml:mi>CFR</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> values (during the entire period of the COVID-19 pandemic) were calculated with the use of <xref ref-type="disp-formula" rid="E4">Equation (4)</xref>, listed in <xref ref-type="table" rid="T3">Table 3</xref> and shown in <xref ref-type="fig" rid="F3">Figure 3</xref> by blue &#x0201C;stars.&#x0201D; The value <inline-formula><mml:math id="M33"><mml:msubsup><mml:mrow><mml:mi>CFR</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> corresponding to the UK is only slightly higher than the global one. Many countries (e.g., the US, India, Mexico, Peru, Iran, Indonesia, Canada, South Africa, Egypt, Nigeria) have higher <inline-formula><mml:math id="M34"><mml:msubsup><mml:mrow><mml:mi>CFR</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> values.</p>
<p>To remove the influence of the seasonal factors in the UK, let us calculate the values of <inline-formula><mml:math id="M35"><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula>, <inline-formula><mml:math id="M36"><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M37"><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> for the period January 1, 2022&#x02013;May 19, 2022 and the same values <inline-formula><mml:math id="M38"><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula>, <inline-formula><mml:math id="M39"><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M40"><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> and for the period January 1, 2023&#x02013;May 19, 2023 with the use of <xref ref-type="disp-formula" rid="E1">Equations (1</xref>&#x02013;<xref ref-type="disp-formula" rid="E3">3</xref>) and JHU datasets:</p>
<list list-type="simple">
<list-item><p><inline-formula><mml:math id="M41"><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = (329,252.5&#x02013;199,110)/139 = 936.28;</p></list-item>
<list-item><p><inline-formula><mml:math id="M42"><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = (2,944.618&#x02013;2,619.105)/139 = 2.34;</p></list-item>
<list-item><p><inline-formula><mml:math id="M43"><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = (2,944.618&#x02013;2,619.105)/(329,252.5&#x02013;199,110) = 0.0025;</p></list-item>
<list-item><p><inline-formula><mml:math id="M44"><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = (364,587.9&#x02013;358,390.2)/139 = 44.59;</p></list-item>
<list-item><p><inline-formula><mml:math id="M45"><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = (3,370.043&#x02013;3,201.28)/139 = 1.214;</p></list-item>
<list-item><p><inline-formula><mml:math id="M46"><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002A;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = (3,370.043&#x02013;3,201.28)/(364,587.9&#x02013;358,390.2) = 0.0272.</p></list-item>
</list>
<p>In 2023 we can see huge decrease in the number of cases and moderate diminishing in the number of death. As the result, the case fatality risk in the beginning of 2023 exceeded the 2022 figure around 11 times. The reason could be explained by the fact that testing and reporting most cases we stopped in UK since April 2022. The only people who get recorded as cases are those that are tested in hospital, and even there not everyone with respiratory infections gets tested. The death data may include all those where COVID-19 is listed on the death certificate, which might even include those that have not tested positive but where the doctors suspect COVID-19.</p>
<p>It must be noted, the growth of <italic>CFR</italic> in the UK occurred in the period of increasing the vaccination and booster levels (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>):</p>
<table-wrap position="float">
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fdata-06-1355080-i0001.tif"/>
</table-wrap>
<p>To investigate possible correlations between <italic>DCC, DDC</italic> and <italic>CFR</italic> values and explanatory variables <italic>A, DTC, VC</italic><sup>(1)</sup><italic>, VC</italic><sup>(2)</sup><italic>, BC</italic><sup>(1)</sup>, and <italic>BC</italic><sup>(2)</sup>, the linear regression (<xref ref-type="disp-formula" rid="E6">Equation 6</xref>) and Fisher test were used. The results of calculations of optimal values of parameters <italic>a</italic> and <italic>b</italic>, correlation coefficients and experimental values of the Fisher function <italic>F</italic> (<xref ref-type="disp-formula" rid="E7">Equation 7</xref>) are listed in <xref ref-type="table" rid="T4">Table 4</xref>. The <italic>F</italic> values were compared with the critical ones <italic>F</italic><sub><italic>C</italic></sub>(1, <italic>n</italic>&#x02212;2) at the confidence level 0.01. The numbers of observations <italic>n</italic> are different for different correlations due to the absence of data for some countries and regions.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Optimal values of parameters in <xref ref-type="disp-formula" rid="E1">Equation (1)</xref>, correlation coefficients and the results of Fisher test applications.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Number</bold></th>
<th valign="top" align="left"><bold>Variable <italic>x</italic></bold></th>
<th valign="top" align="left"><bold>Number of observations <italic>n</italic></bold></th>
<th valign="top" align="left"><bold>Correlation coefficient <italic>R</italic></bold></th>
<th valign="top" align="left"><bold>Optimal values of parameter <italic>a</italic> in Equation (6)</bold></th>
<th valign="top" align="left"><bold>Optimal values of parameter <italic>b</italic> in Equation (6)</bold></th>
<th valign="top" align="left"><bold>Experimental value of the Fisher function <italic>F</italic>, Equation (7), <italic>m = 2</italic></bold></th>
<th valign="top" align="left"><bold>Critical value of Fisher function <italic>F<sub><italic>c</italic></sub>(1,n-2)</italic> for the confidence level 0.01 (Appendix<sup>16</sup>)</bold></th>
<th valign="top" align="left"><bold><italic>F/F<sub><italic>c</italic></sub></italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations for the averaged daily numbers of COVID-19 cases in 2022</bold>, <italic><bold>DCC</bold><sup>(1)</sup></italic></td>
</tr> <tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left">Versus age</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.7108</td>
<td valign="top" align="left">&#x02212;937.43</td>
<td valign="top" align="left">39.767</td>
<td valign="top" align="left">29.616</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">3.81</td>
</tr> <tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left"><inline-formula><mml:math id="M60"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.56202</td>
<td valign="top" align="left">&#x02212;444.10</td>
<td valign="top" align="left">13.252</td>
<td valign="top" align="left">14.775</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">1.91</td>
</tr> <tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left"><inline-formula><mml:math id="M61"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.7459</td>
<td valign="top" align="left">&#x02212;181.28</td>
<td valign="top" align="left">14.687</td>
<td valign="top" align="left">40.136</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">5.19</td>
</tr> <tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">Versus <italic>DTC</italic></td>
<td valign="top" align="left">23</td>
<td valign="top" align="left">0.5613</td>
<td valign="top" align="left">292.96</td>
<td valign="top" align="left">66.052</td>
<td valign="top" align="left">9.66</td>
<td valign="top" align="left">7.85</td>
<td valign="top" align="left">1.2</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations for the averaged daily numbers of COVID-19 cases in 2023</bold>, <italic><bold>DCC</bold><sup>(2)</sup></italic></td>
</tr> <tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">Versus age</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.5009</td>
<td valign="top" align="left">&#x02212;143.583</td>
<td valign="top" align="left">5.8231</td>
<td valign="top" align="left">9.711</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">1.25</td>
</tr> <tr>
<td valign="top" align="left">6</td>
<td valign="top" align="left"><inline-formula><mml:math id="M62"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.4696</td>
<td valign="top" align="left">&#x02212;128.811</td>
<td valign="top" align="left">2.6796</td>
<td valign="top" align="left">9.051</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">1.17</td>
</tr> <tr>
<td valign="top" align="left">7</td>
<td valign="top" align="left"><inline-formula><mml:math id="M63"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.5674</td>
<td valign="top" align="left">&#x02212;32.3957</td>
<td valign="top" align="left">1.6692</td>
<td valign="top" align="left">15.195</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">1.96</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations for the averaged daily numbers of deaths in 2022</bold>, <italic><bold>DDC</bold><sup>(1)</sup></italic></td>
</tr> <tr>
<td valign="top" align="left">8</td>
<td valign="top" align="left">Versus age</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.7324</td>
<td valign="top" align="left">&#x02212;1.7244</td>
<td valign="top" align="left">0.07993</td>
<td valign="top" align="left">33.553</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">4.32</td>
</tr> <tr>
<td valign="top" align="left">9</td>
<td valign="top" align="left"><inline-formula><mml:math id="M64"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.5553</td>
<td valign="top" align="left">&#x02212;0.6756</td>
<td valign="top" align="left">0.02582</td>
<td valign="top" align="left">14.264</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">1.84</td>
</tr> <tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left"><inline-formula><mml:math id="M65"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.6513</td>
<td valign="top" align="left">&#x02212;0.02176</td>
<td valign="top" align="left">0.02529</td>
<td valign="top" align="left">23.579</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">3.05</td>
</tr> <tr>
<td valign="top" align="left">11</td>
<td valign="top" align="left">Versus <italic>DTC</italic></td>
<td valign="top" align="left">23</td>
<td valign="top" align="left">0.7138</td>
<td valign="top" align="left">0.59477</td>
<td valign="top" align="left">0.16076</td>
<td valign="top" align="left">21.8</td>
<td valign="top" align="left">7.85</td>
<td valign="top" align="left">2.8</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations for the averaged daily numbers of deaths in 2023</bold>, <italic><bold>DDC</bold><sup>(2)</sup></italic></td>
</tr> <tr>
<td valign="top" align="left">12</td>
<td valign="top" align="left">Versus age</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.6793</td>
<td valign="top" align="left">&#x02212;0.6040</td>
<td valign="top" align="left">0.02626</td>
<td valign="top" align="left">24.843</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">3.20</td>
</tr> <tr>
<td valign="top" align="left">13</td>
<td valign="top" align="left"><inline-formula><mml:math id="M66"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.5927</td>
<td valign="top" align="left">&#x02212;0.4892</td>
<td valign="top" align="left">0.0114</td>
<td valign="top" align="left">17.332</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">2.24</td>
</tr> <tr>
<td valign="top" align="left">14</td>
<td valign="top" align="left"><inline-formula><mml:math id="M67"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">0.6903</td>
<td valign="top" align="left">&#x02212;0.06489</td>
<td valign="top" align="left">0.006845</td>
<td valign="top" align="left">29.131</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">3.76</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations for the case fatality risks in 2022</bold>, <italic><bold>CFR</bold><sup>(1)</sup></italic></td>
</tr> <tr>
<td valign="top" align="left">15</td>
<td valign="top" align="left">Versus age</td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">&#x02212;0.5006</td>
<td valign="top" align="left">0.01631</td>
<td valign="top" align="left">&#x02212;0.0003177</td>
<td valign="top" align="left">9.698</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">1.25</td>
</tr> <tr>
<td valign="top" align="left">16</td>
<td valign="top" align="left"><inline-formula><mml:math id="M68"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">&#x02212;0.5901</td>
<td valign="top" align="left">0.01538</td>
<td valign="top" align="left">&#x02212;0.0001553</td>
<td valign="top" align="left">17.092</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">2.21</td>
</tr> <tr>
<td valign="top" align="left">17</td>
<td valign="top" align="left"><inline-formula><mml:math id="M69"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">34</td>
<td valign="top" align="left">&#x02212;0.5937</td>
<td valign="top" align="left">0.01053</td>
<td valign="top" align="left">&#x02212;0.0001305</td>
<td valign="top" align="left">17.423</td>
<td valign="top" align="left">7.74</td>
<td valign="top" align="left">2.25</td>
</tr> <tr>
<td valign="top" align="left">18</td>
<td valign="top" align="left">Versus <italic>DTC</italic></td>
<td valign="top" align="left">23</td>
<td valign="top" align="left">&#x02212;0.3566</td>
<td valign="top" align="left">0.005909</td>
<td valign="top" align="left">&#x02212;0.00036525</td>
<td valign="top" align="left">3.059</td>
<td valign="top" align="left">7.85</td>
<td valign="top" align="left">0.39</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations for the case fatality risks in 2023</bold>, <italic><bold>CFR</bold><sup>(2)</sup></italic></td>
</tr> <tr>
<td valign="top" align="left">19</td>
<td valign="top" align="left">Versus age</td>
<td valign="top" align="left">30</td>
<td valign="top" align="left">&#x02212;0.1700</td>
<td valign="top" align="left">0.02122</td>
<td valign="top" align="left">&#x02212;0.00028515</td>
<td valign="top" align="left">0.834</td>
<td valign="top" align="left">7.78</td>
<td valign="top" align="left">0.11</td>
</tr> <tr>
<td valign="top" align="left">20</td>
<td valign="top" align="left"><inline-formula><mml:math id="M70"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">33</td>
<td valign="top" align="left">&#x02212;0.1008</td>
<td valign="top" align="left">0.01656</td>
<td valign="top" align="left">&#x02212;8.2800e&#x02212;05</td>
<td valign="top" align="left">0.318</td>
<td valign="top" align="left">7.75</td>
<td valign="top" align="left">0.041</td>
</tr> <tr>
<td valign="top" align="left">21</td>
<td valign="top" align="left"><inline-formula><mml:math id="M71"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>Versus</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">33</td>
<td valign="top" align="left">&#x02212;0.0560</td>
<td valign="top" align="left">0.01203</td>
<td valign="top" align="left">&#x02212;2.36499e&#x02212;05</td>
<td valign="top" align="left">0.0975</td>
<td valign="top" align="left">7.75</td>
<td valign="top" align="left">0.013</td>
</tr></tbody>
</table>
</table-wrap>
<p>Since many COVID-19 patients are asymptomatic (see text footnotes 2&#x02013;4) (Nesteruk, <xref ref-type="bibr" rid="B15">2021b</xref>,<xref ref-type="bibr" rid="B16">c</xref>, <xref ref-type="bibr" rid="B20">2023b</xref>; Fowlkes et al., <xref ref-type="bibr" rid="B9">2022</xref>), the high testing level (<italic>DTC</italic> or <italic>TC</italic>) could help to reveal more cases and COVID-19 related deaths. This trend was supported statistically (see rows 4 and 11 in <xref ref-type="table" rid="T4">Table 4</xref> and black lines in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>). Nevertheless, the linear regression yields unacceptable non-zero values of parameter <italic>a</italic>, which mean that some cases and deaths could be revealed at zero testing level. To remove this discrepancy, the non-linear approach (<xref ref-type="disp-formula" rid="E8">Equations 8</xref>, <xref ref-type="disp-formula" rid="E9">9</xref>) was applied for the same countries listed in <xref ref-type="table" rid="T3">Table 3</xref> (<italic>n</italic> = 23).</p>
<p><xref ref-type="disp-formula" rid="E10">Equations (10</xref>&#x02013;<xref ref-type="disp-formula" rid="E12">12</xref>) represent the best fitting curves (see red lines in <xref ref-type="fig" rid="F1">Figures 1</xref>&#x02013;<xref ref-type="fig" rid="F3">3</xref>), correlation coefficients and experimental values of the Fisher function:</p>
<disp-formula id="E10"><label>(10)</label><mml:math id="M47"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mtext class="textrm" mathvariant="normal">118</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">7499</mml:mtext><mml:mo>&#x000B7;</mml:mo><mml:mtext class="textrm" mathvariant="normal">DT</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">C</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">1</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">106479</mml:mtext></mml:mrow></mml:msup><mml:mo>;</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>81835</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>42</mml:mn><mml:mo>.</mml:mo><mml:mn>58</mml:mn><mml:mtext>&#x02003;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E11"><label>(11)</label><mml:math id="M48"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mtext class="textrm" mathvariant="normal">0</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">4428336</mml:mtext><mml:mo>&#x000B7;</mml:mo><mml:mtext class="textrm" mathvariant="normal">DT</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">C</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">0</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">828329</mml:mtext></mml:mrow></mml:msup><mml:mo>;</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>76624</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>29</mml:mn><mml:mo>.</mml:mo><mml:mn>86</mml:mn><mml:mtext>&#x02003;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E12"><label>(12)</label><mml:math id="M49"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mfrac><mml:mrow><mml:mtext class="textrm" mathvariant="normal">0</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">00372913</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">DT</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">C</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">0</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">27815</mml:mtext></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>46942</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn><mml:mo>.</mml:mo><mml:mn>94</mml:mn><mml:mtext>&#x02003;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The values of <italic>r</italic><sup>2</sup> and <italic>F</italic> for variables <italic>z</italic> and <italic>w</italic> are higher than for <italic>y</italic> and <italic>x</italic> [compare corresponding values in <xref ref-type="disp-formula" rid="E10">Equations (10</xref>&#x02013;<xref ref-type="disp-formula" rid="E12">12</xref>) and rows 4, 11, and 18 in <xref ref-type="table" rid="T4">Table 4</xref>]. The relationships (10) and (11) are supported at significance level 0.001 <italic>F</italic><sub><italic>C</italic></sub>(1, 21) &#x0003D; 14.6[<italic>F</italic><sub><italic>C</italic></sub>(1, 21) &#x0003D; 14.6]. The similar very strong correlation between the numbers of cases and tests per capita accumulated in European and African countries as of August 1, 2022 was found in Nesteruk and Rodionov (<xref ref-type="bibr" rid="B25">2022b</xref>):</p>
<disp-formula id="E13"><label>(13)</label><mml:math id="M50"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:mn>80</mml:mn><mml:mo>.</mml:mo><mml:mn>099</mml:mn><mml:mo>&#x000B7;</mml:mo><mml:mtext class="textrm" mathvariant="normal">T</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">C</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">1</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">02755</mml:mtext></mml:mrow></mml:msup><mml:mo>;</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mtext class="textrm" mathvariant="normal">89</mml:mtext><mml:mo>;</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mtext class="textrm" mathvariant="normal">9496</mml:mtext><mml:mo>;</mml:mo><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mtext class="textrm" mathvariant="normal">767</mml:mtext><mml:mo>.</mml:mo><mml:mtext class="textrm" mathvariant="normal">6</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Nevertheless, 16 European countries with the highest testing level (<italic>TC</italic> &#x0003E; 3,000) have demonstrated no correlation between <italic>CC</italic> and <italic>TC</italic> even at the significance level 0.05 (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>).</p>
<p>Only 5 countries and territories listed in <xref ref-type="table" rid="T2">Table 2</xref> (Hong Kong, France, Italy, the UK, and Israel) had <italic>TC</italic> values higher than 3,000 in 2022. The <italic>DCC</italic><sup>(1)</sup> values are rather high and vary from 436 to 1,241 in these countries (see <xref ref-type="table" rid="T3">Table 3</xref>). Nevertheless, many infectious persons were not detected. This is evidenced not only by the higher numbers of cases per capita in South Korea (<inline-formula><mml:math id="M51"><mml:msubsup><mml:mrow><mml:mi>DCC</mml:mi></mml:mrow><mml:mrow><mml:mn>8</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula>= 1,502.9, <xref ref-type="table" rid="T3">Table 3</xref>) at lower testing level (compare corresponding <italic>DTC</italic> values in <xref ref-type="table" rid="T3">Table 3</xref>), but also by the results of total testing in some countries and institutions, which revealed many previously unregistered COVID-19 patients (see text footnotes 2&#x02013;4). Taking the maximum <inline-formula><mml:math id="M52"><mml:msubsup><mml:mrow><mml:mi>DCC</mml:mi></mml:mrow><mml:mrow><mml:mn>8</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> values (corresponding to South Korea) as estimations real number of cases per capita in 2022 and 2023, we can calculate the visibility coefficients</p>
<disp-formula id="E14"><label>(14)</label><mml:math id="M53"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">DCC</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">8</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">(j)</mml:mtext></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">DCC</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">i</mml:mtext></mml:mrow><mml:mrow><mml:mtext class="textrm" mathvariant="normal">(j)</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac><mml:mo>;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>as the ratios of real and registered numbers of cases [similar relationship can be obtained using the accumulated numbers of cases per capita (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>)]. For example, figures corresponding to the UK are<inline-formula><mml:math id="M54"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 3.4; <inline-formula><mml:math id="M55"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 13.9; Europe&#x02014;<inline-formula><mml:math id="M56"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>26</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 2.6; <inline-formula><mml:math id="M57"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>26</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 11.4, and Africa&#x02014;<inline-formula><mml:math id="M58"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>27</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 248.4; <inline-formula><mml:math id="M59"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>27</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 1,179.3.</p>
<p>An experimental estimation of the visibility coefficient can be obtained from the results of total testing in Slovakia [89.5% of population was tested on October 31&#x02013;November 7, 2020 and a number of previously undetected cases, equal to about 1.63% of the population was revealed (see text footnotes 2, 3)]. Since the number of detected cases in Slovakia was approximately 1% of population (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>), we can estimate the visibility coefficient &#x003B2; &#x02248; 2.63 for that period. As of September 10, 2023 the ratio of CC values for South Korea and Slovakia [667,207.1/330,868.413 (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>)] yields the visibility coefficient 2.02. The results of a random testing in two kindergartens and two schools in Chmelnytskii (Ukraine) revealed the value of visibility coefficient 3.9 in December 2020 (see text footnote 4).</p>
<p>The generalized SIR models and algorithms of their parameter identification (Nesteruk, <xref ref-type="bibr" rid="B15">2021b</xref>,<xref ref-type="bibr" rid="B17">d</xref>, <xref ref-type="bibr" rid="B20">2023b</xref>) allowed theoretical estimating of the visibility coefficients. In particular, values from 3.7 to 20.4 were obtained for Ukraine (Nesteruk, <xref ref-type="bibr" rid="B14">2021a</xref>,<xref ref-type="bibr" rid="B15">b</xref>) and 5.4 for Qatar (Nesteruk, <xref ref-type="bibr" rid="B16">2021c</xref>) in different periods of the COVID-19 pandemic. The lack of appropriate testing did not allowed detecting the first SARS-CoV-2 cases, which probably appeared long before December 2019 (Weinberger et al., <xref ref-type="bibr" rid="B34">2020</xref>). In particular, theoretical estimates give the date of the appearance of the first case at the beginning of August 2019 (Nesteruk, <xref ref-type="bibr" rid="B17">2021d</xref>).</p>
<p>Dependence (<xref ref-type="disp-formula" rid="E11">12</xref>) can be accepted at significance level 0.05 [<italic>F</italic><sub><italic>C</italic></sub>(1, 21) &#x0003D; 4.43; a similar equation can be obtained by dividing (11) over (10)] and shows that the case fatality risk increases with diminishing of the testing level even in the period of the high interest in the SARS-CoV-2 infection (as it was in 2022). In 2023, when the people paid attention to severe cases only and make tests correspondingly, <italic>CFR</italic> values can increase drastically. Therefore, one should probably not be afraid of a significant increase of the case fatality risk in the UK in 2023. Of much greater concern is the fact that COVID-19 mortality in this country (<inline-formula><mml:math id="M72"><mml:mi>D</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>11</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.7754, see <xref ref-type="table" rid="T3">Table 3</xref>) is still at least 4 times higher than the global value caused by seasonal flu (Paget et al., <xref ref-type="bibr" rid="B28">2019</xref>).</p>
<p><xref ref-type="disp-formula" rid="E10">Equations (10</xref>, <xref ref-type="disp-formula" rid="E13">13</xref>) may give the illusion that the low number of cases per capita in Africa is due only to the low testing level typical for low-income countries (see Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>). The visibility coefficients and another characteristic&#x02014;the ratio of the number of tests to the number of cases <italic>DTS</italic>&#x02014;will allow us to understand the situation and draw the right conclusions. High <italic>DTS</italic> values mean that many persons surrounding the detected infectious patient (e.g., family members, colleagues, neighbors) were tested and isolated (this causes a decrease in the number of new infections, i.e., <italic>DCC</italic>). For example, very high tests per case ratios (<italic>DTS</italic> &#x0003E; 100) in Hong Kong in 2020 and 2021 allowed controlling the COVID-19 epidemic completely (Nesteruk, <xref ref-type="bibr" rid="B18">2022</xref>) [the smoothed daily numbers of new cases per million did not exceed 20 (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>)]. After January 18, 2022, the daily numbers of new cases started to increase, but the daily numbers of tests remained almost constant yielding drastically diminishing of the daily tests per case ratio (Nesteruk, <xref ref-type="bibr" rid="B18">2022</xref>) and very high <italic>DCC</italic> values in February-March 2022 (COVID-19 Data, <xref ref-type="bibr" rid="B3">2023</xref>).</p>
<p>It follows from <xref ref-type="disp-formula" rid="E10">Equation (10)</xref> that the averaged daily test per case ratio:</p>
<disp-formula id="E15"><mml:math id="M73"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>D</mml:mi><mml:mi>T</mml:mi><mml:mi>S</mml:mi><mml:mo>&#x02261;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1000</mml:mn><mml:mo>&#x000B7;</mml:mo><mml:mi>D</mml:mi><mml:mi>T</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mfrac><mml:mrow><mml:mtext class="textrm" mathvariant="normal">13</mml:mtext><mml:mn>.</mml:mn><mml:mtext class="textrm" mathvariant="normal">34</mml:mtext></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>D</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>0962</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>increases for countries with low <italic>DCC</italic> figures (in particular, for African ones, see <xref ref-type="table" rid="T3">Table 3</xref>). The similar relationship follows from <xref ref-type="disp-formula" rid="E13">Equation (13)</xref> for the accumulated characteristic <italic>TS</italic> = <italic>1,000</italic><sup>&#x0002A;</sup><italic>TC/CC</italic>. For example, <italic>DTS</italic> values (calculated using the information available in <xref ref-type="table" rid="T3">Table 3</xref>) are equal to 26.9 (the UK); 39.4 (India); 123.5 (Nigeria); 4.3 (South Korea); 1.95 (Japan) and demonstrate that the probability to miss an infectious person due to the lack of tests is much higher in Japan or South Korea than in Nigeria or India. During the severe pandemic wave in Japan in summer 2022, the daily numbers tests probably were not enough to confirm COVID-19 in patients with symptoms (Nesteruk, <xref ref-type="bibr" rid="B20">2023b</xref>).</p>
<p>Therefore, the reason for the low number of registered cases per capita in Africa or in India should not be found in insufficient testing, but in large values of the visibility coefficients (<xref ref-type="disp-formula" rid="E14">Equation 14</xref>), which attribute to large numbers of asymptomatic infections. Since the severity of SARS-CoV-2 infection increases for older patients (Davies et al., <xref ref-type="bibr" rid="B4">2020</xref>; Statsenko et al., <xref ref-type="bibr" rid="B33">2021</xref>) and almost half of the infected children can be asymptomatic (Fowlkes et al., <xref ref-type="bibr" rid="B9">2022</xref>), the regions with older population are expected to have much higher accumulated numbers of cases per capita (Davies et al., <xref ref-type="bibr" rid="B4">2020</xref>). It was shown that 1-year increment in the median age yields 12,000&#x02013;18,000 increase in <italic>CC</italic> values (Nesteruk and Keeling, <xref ref-type="bibr" rid="B22">2023</xref>). Rows 1 and 5 in <xref ref-type="table" rid="T4">Table 4</xref> and blue lines in <xref ref-type="fig" rid="F1">Figure 1</xref> illustrate the same trend for <italic>DCC</italic> values. One-year increment in the median age increased <italic>DCC</italic> values by 39.8 in 2022 and by 5.8 in 2023.</p>
<p>The stronger correlations and same trends were obtained for the averaged daily numbers of deaths per capita <italic>DDC</italic> vs. median age of population <italic>A</italic> (see rows 8 and 12 in <xref ref-type="table" rid="T4">Table 4</xref> and blue lines in <xref ref-type="fig" rid="F2">Figure 2</xref>). One-year increment in the median age increases the <italic>DDC</italic> values by 0.0799 in 2022 and by 0.0263 in 2023. The characteristics calculated for large regions (EU, continents and the world) are very close to the best fitting blue lines (see large markers in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>). We can conclude that the young age of Africa (<italic>A</italic><sub>27</sub> = 18, see <xref ref-type="table" rid="T1">Table 1</xref>) is the main reason of very low numbers of cases and death per capita registered on this continent.</p>
<p>Opposite and much weaker age trends we can see for the case fatality risks (lines 15 and 19 in <xref ref-type="table" rid="T4">Table 4</xref>). The decrease of <italic>CFR</italic> values with increase of the age (supported only by the 2022 dataset) looks unexpected [especially taking into account the fact that in 2020 younger populations had less clinical cases per capita (Davies et al., <xref ref-type="bibr" rid="B4">2020</xref>)]. Probably, the reason is better medical treatment in the reach countries with the high median age.</p>
<p>The numbers of cases and deaths per capita increase with increasing the percentages of fully vaccinated people and boosters (see rows 2, 3, 6, 7, 9, 10, 13, 14 in <xref ref-type="table" rid="T4">Table 4</xref> and green and magenta best fitting lines in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>). Re-infections in vaccinated persons are common (Flacco et al., <xref ref-type="bibr" rid="B8">2022</xref>; Guedes et al., <xref ref-type="bibr" rid="B10">2023</xref>), but a very clear uprising trend with increasing <italic>VC</italic> and <italic>BC</italic> values is unexpected despite the similar result for smoothed daily numbers of cases reported in Nesteruk and Rodionov (<xref ref-type="bibr" rid="B24">2022a</xref>) (JHU datasets with 7-days-smoothing corresponding to September 1, 2021 and February 1, 2023 were used for statistical analysis). Obtained trends could be a result of age influence, since the most vaccinated countries have higher <italic>A</italic><sub><italic>i</italic></sub> values (see <xref ref-type="table" rid="T1">Tables 1</xref>, <xref ref-type="table" rid="T2">2</xref>). We will discuss this correlation in the next Section. Another reason could be the introduction of special passports that removed restrictions for vaccinated persons. Many vaccinated people in countries with high <italic>VC</italic> and <italic>BC</italic> values started to visit crowded places, travel despite they can spread the infection. In many countries (in particular, in Ukraine) the vaccination procedure was associated with overcrowding in hospitals, which could contribute to the spread of the infection too.</p>
<p>As expected, the case fatality risks decrease with increasing the percentages of fully vaccinated people and boosters (see rows 16, 17, 20, 21 in <xref ref-type="table" rid="T4">Table 4</xref> and green and magenta best fitting lines in <xref ref-type="fig" rid="F3">Figure 3</xref>). Similar result was obtained in Nesteruk and Rodionov (<xref ref-type="bibr" rid="B24">2022a</xref>) with the use of JHU datasets for European and some other countries. In 2023, the decreasing trend was not supported by Fisher test. Probably, this is due to the more chaotic data. In particular, the different days correspond to <inline-formula><mml:math id="M78"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M79"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> values listed in <xref ref-type="table" rid="T2">Table 2</xref>, no <italic>CFR</italic> value can be calculated for Turkey.</p></sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>The explanatory variables <italic>A, DTC, VC</italic><sup>(1)</sup><italic>, VC</italic><sup>(2)</sup><italic>, BC</italic><sup>(1)</sup>, and <italic>BC</italic><sup>(2)</sup>, used in our analysis can be also dependent on each other. We have used the linear regression (<xref ref-type="disp-formula" rid="E6">Equation 6</xref>) and Fisher test to find correlations between <italic>DTC, VC</italic><sup>(1)</sup><italic>, VC</italic><sup>(2)</sup><italic>, BC</italic><sup>(1)</sup>, and <italic>BC</italic><sup>(2)</sup> values and explanatory variable <italic>A</italic>. The results of calculations are listed in <xref ref-type="table" rid="T5">Table 5</xref> and displayed in <xref ref-type="fig" rid="F4">Figure 4</xref>. We can see strong correlations between <italic>VC</italic><sup>(1)</sup><italic>, VC</italic><sup>(2)</sup><italic>, BC</italic><sup>(1)</sup>, and <italic>BC</italic><sup>(2)</sup> vs. median age of population <italic>A</italic> (see rows 2&#x02013;5 in <xref ref-type="table" rid="T5">Table 5</xref>; green and magenta best fitting lines in <xref ref-type="fig" rid="F4">Figure 4</xref>). The correlation between <italic>A</italic> and <italic>DTC</italic> is supported at the confidence level 0.05 (see the first row in <xref ref-type="table" rid="T5">Table 5</xref> and the black best fitting line in <xref ref-type="fig" rid="F4">Figure 4</xref>). The growth of the median age leads to the increase of testing level and the percentage of vaccinations and boosters. These correlations can be a result of higher incomes in aged countries and more vaccinations and boosters in older people.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Correlations vs. the median age of populations and purified levels of vaccinations.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Number</bold></th>
<th valign="top" align="left"><bold>Variable <italic>y</italic></bold></th>
<th valign="top" align="left"><bold>Number of observations <italic>n</italic></bold></th>
<th valign="top" align="left"><bold>Correlation coefficient <italic>R</italic></bold></th>
<th valign="top" align="left"><bold>Optimal values of parameter <italic>a</italic> in Equation (1)</bold></th>
<th valign="top" align="left"><bold>Optimal values of parameter <italic>b</italic> in Equation (1)</bold></th>
<th valign="top" align="left"><bold>Experimental value of the Fisher function <italic>F</italic>, Equation (3), <italic>m = 2</italic></bold></th>
<th valign="top" align="left"><bold>Critical value of Fisher function <italic>F<sub><italic>c</italic></sub>(1,n-2)</italic> for the confidence level 0.01 (Appendix<sup>16</sup>)</bold></th>
<th valign="top" align="left"><bold><italic>F/F<sub><italic>c</italic></sub></italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations vs. median age of population</bold>, <italic><bold>A</bold></italic></td>
</tr> <tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left"><italic>DTC</italic></td>
<td valign="top" align="left">23</td>
<td valign="top" align="left">0.4389</td>
<td valign="top" align="left">&#x02212;4.7762</td>
<td valign="top" align="left">0.23290</td>
<td valign="top" align="left">5.011</td>
<td valign="top" align="left">7.85</td>
<td valign="top" align="left">0.64</td>
</tr> <tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left"><inline-formula><mml:math id="M74"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.7673</td>
<td valign="top" align="left">2.3288</td>
<td valign="top" align="left">1.83706</td>
<td valign="top" align="left">41.515</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">5.34</td>
</tr> <tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left"><inline-formula><mml:math id="M75"><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.7348</td>
<td valign="top" align="left">17.5274</td>
<td valign="top" align="left">1.49084</td>
<td valign="top" align="left">34.036</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">4.38</td>
</tr> <tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left"><inline-formula><mml:math id="M76"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.7933</td>
<td valign="top" align="left">&#x02212;34.8469</td>
<td valign="top" align="left">2.21980</td>
<td valign="top" align="left">49.246</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">6.34</td>
</tr> <tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left"><inline-formula><mml:math id="M77"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.7810</td>
<td valign="top" align="left">&#x02212;51.3696</td>
<td valign="top" align="left">3.03961</td>
<td valign="top" align="left">45.339</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">5.84</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations vs. &#x0201C;purified&#x0201D; numbers of fully vaccinated persons per hundred, VP</bold></td>
</tr> <tr>
<td valign="top" align="left">6</td>
<td valign="top" align="left"><italic>DCC<sup>(1)</sup></italic></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.03726</td>
<td valign="top" align="left">463.8161</td>
<td valign="top" align="left">1.35771</td>
<td valign="top" align="left">0.0403</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">0.0052</td>
</tr> <tr>
<td valign="top" align="left">7</td>
<td valign="top" align="left"><italic>DDC<sup>(1)</sup></italic></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.00318</td>
<td valign="top" align="left">1.0919</td>
<td valign="top" align="left">0.00022628</td>
<td valign="top" align="left">0.000294</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">3.8e-5</td>
</tr> <tr>
<td valign="top" align="left">8</td>
<td valign="top" align="left"><italic>CFR<sup>(1)</sup></italic></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">&#x02212;0.3236</td>
<td valign="top" align="left">0.005114</td>
<td valign="top" align="left">&#x02212;0.00013372</td>
<td valign="top" align="left">3.391</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">0.43</td>
</tr> <tr style="background-color:#dee1e1;color:#ffffff">
<td valign="top" align="left" colspan="9"><bold>Correlations vs. &#x0201C;purified&#x0201D; numbers of boosters per hundred, BP</bold></td>
</tr> <tr>
<td valign="top" align="left">9</td>
<td valign="top" align="left"><italic>DCC<sup>(1)</sup></italic></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.2969</td>
<td valign="top" align="left">463.792</td>
<td valign="top" align="left">9.75216</td>
<td valign="top" align="left">2.804</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">0.36</td>
</tr> <tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left"><italic>DDC<sup>(1)</sup></italic></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">0.0989</td>
<td valign="top" align="left">1.0919</td>
<td valign="top" align="left">0.0063360</td>
<td valign="top" align="left">0.2864</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">0.037</td>
</tr> <tr>
<td valign="top" align="left">11</td>
<td valign="top" align="left"><italic>CFR<sup>(1)</sup></italic></td>
<td valign="top" align="left">31</td>
<td valign="top" align="left">&#x02212;0.3625</td>
<td valign="top" align="left">0.005117</td>
<td valign="top" align="left">&#x02212;0.00013502</td>
<td valign="top" align="left">4.386</td>
<td valign="top" align="left">7.77</td>
<td valign="top" align="left">0.56</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Optimal values of parameters in <xref ref-type="disp-formula" rid="E1">Equation (1)</xref>, correlation coefficients and the results of Fisher test applications.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Levels of testing (black), vaccinations (green) and boosters (magenta) in 2022 (&#x0201C;circles&#x0201D;) and 2023 (&#x0201C;triangles&#x0201D;) vs. median age. Best fitting lines are solid for 2023 and dashed for 2022. The dotted line corresponds to the <italic>DTC</italic> correlation (supported at the significance level 0.05).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fdata-06-1355080-g0004.tif"/>
</fig>
<p>Now we can explain why the numbers of cases and deaths per capita can increase with increasing the percentages of fully vaccinated people and boosters (see rows 2, 3, 6, 7, 9, 10, 13, 14 in <xref ref-type="table" rid="T4">Table 4</xref> and green and magenta best fitting lines in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>)? Values <italic>VC</italic><sup>(1)</sup><italic>, VC</italic><sup>(2)</sup><italic>, BC</italic><sup>(1)</sup>, and <italic>BC</italic><sup>(2)</sup> are not independent and definitely increase with the age. On the other hand, <italic>DCC</italic> and <italic>DDC</italic> values also increase with growth of <italic>A</italic><sub><italic>i</italic></sub> (see rows 1, 5, 8, 12 in <xref ref-type="table" rid="T4">Table 4</xref> and blue best fitting lines in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>). To remove the influence of age in correlations between vaccinations and <italic>DCC</italic> and <italic>DDC</italic> values, let us consider the &#x0201C;purified&#x0201D; variations of <italic>VC</italic><sup>(1)</sup>and <italic>BC</italic><sup>(1)</sup> (we limited ourselves only to 2022 with more reliable statistical data):</p>
<disp-formula id="E16"><mml:math id="M80"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mi>V</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mo>.</mml:mo><mml:mn>3288</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>8376</mml:mn><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn>34</mml:mn><mml:mo>.</mml:mo><mml:mn>8469</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mo>.</mml:mo><mml:mn>2198</mml:mn><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>;</mml:mo><mml:mtext>&#x02003;&#x000A0;</mml:mtext><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:mn>34</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>To obtain the &#x0201C;purified&#x0201D; variations the percentages of vaccinations <italic>VP</italic><sub><italic>i</italic></sub> and boosters <italic>BP</italic><sub><italic>i</italic></sub>, we have excluded from variations <italic>VC</italic><sup>(1)</sup>and <italic>BC</italic><sup>(1)</sup> the values predicted by the by the best fitted lines listed in <xref ref-type="table" rid="T5">Table 5</xref> (rows 2 and 4).</p>
<p>We have used the linear regression (<xref ref-type="disp-formula" rid="E6">Equation 6</xref>) and Fisher test to find correlations between <italic>DCC, DDC</italic> and <italic>CFR</italic> values and explanatory variables <italic>VP</italic> and <italic>BP</italic>. The results of calculations are listed in <xref ref-type="table" rid="T5">Table 5</xref> (lines 6&#x02013;11). No correlations were revealed at the confidence level 0.01. Thus, the vaccinations and booster themselves do not increase the numbers of cases and death per capita. No correlations between <italic>VC</italic> and the numbers of cases and deaths per capita accumulated in 15 European countries with the highest testing level as of August 1, 2022 were revealed at the confidence level 0.05 (Nesteruk and Rodionov, <xref ref-type="bibr" rid="B25">2022b</xref>). The lack of decreasing trends and fact that severe pandemic waves occurred in countries with high vaccination levels [e.g., Israel, Hong Kong and Japan (Nesteruk, <xref ref-type="bibr" rid="B14">2021a</xref>, <xref ref-type="bibr" rid="B18">2022</xref>)] call into question the effectiveness of vaccinations due to coronavirus mutations (see text footnotes 5&#x02013;8) and large numbers of re-infections (see text footnote 9, Flacco et al., <xref ref-type="bibr" rid="B8">2022</xref>; Guedes et al., <xref ref-type="bibr" rid="B10">2023</xref>).</p>
<p>As expected, the case fatality risks reduce for higher values of <italic>VP</italic> and <italic>BP</italic> (see lines 8, 11 in <xref ref-type="table" rid="T5">Table 5</xref>), but at lower confidence level than vs. <italic>VC</italic><sup>(1)</sup>and <italic>BC</italic><sup>(1)</sup> (see lines 16 and 17 in <xref ref-type="table" rid="T4">Table 4</xref>).</p></sec>
<sec sec-type="conclusions" id="s5">
<title>Conclusions</title>
<p>The averaged daily numbers of cases <italic>DCC</italic> and death <italic>DDC</italic> per million, case fatality risks <italic>DDC/DCC</italic> were calculated for 34 countries and regions with the use of John Hopkins University (JHU) datasets for numbers per capita accumulated in 2022 and 2023. Linear and non-linear approaches were used to find correlations with the averaged daily numbers of tests per thousand <italic>DTC</italic>, median age of population <italic>A</italic>, and percentages of vaccinations <italic>VC</italic> and boosters <italic>BC</italic>.</p>
<p>One-year increment in the median age yielded 39.8 increase in <italic>DCC</italic> values and 0.0799 DDC increase in 2022 (in 2023 these figures are 5.8 and 0.0263, respectively). With decreasing of testing level <italic>DTC</italic> the case fatality risk can increase drastically. <italic>DCC</italic> and <italic>DDC</italic> values increase with increasing the percentages of fully vaccinated people and boosters. Since <italic>VC</italic> and <italic>BC</italic> values definitely increase with at higher <italic>A</italic>, the corrected variations of <italic>VC</italic> and <italic>BC</italic> were introduced, which showed no correlations with <italic>DCC</italic> and <italic>DDC</italic> values.</p>
<p>The presented analysis demonstrates that age is a pivot factor in visible (registered) part of the COVID-19 pandemic dynamics. Much younger Africa has registered less numbers of cases and death per capita due to many unregistered asymptomatic patients. Of great concern is the fact that COVID-19 mortality in 2023 in the UK is still at least 4 times higher than the global value caused by seasonal flu.</p></sec>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p></sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>IN: Writing&#x02014;original draft, Writing&#x02014;review &#x00026; editing, Data curation, Investigation, Methodology, Software.</p></sec>
</body>
<back>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. The study was supported by the Solidarity Satellite Programme of Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.</p>
</sec>
<ack><p>The author was grateful to Professor Robin Thompson, Professor Matt Keeling, and Oleksii Rodionov for their support and providing very useful information.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
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</fn-group>
<ref-list>
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