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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Med.</journal-id>
<journal-title>Frontiers in Medicine</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Med.</abbrev-journal-title>
<issn pub-type="epub">2296-858X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmed.2023.1092030</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Medicine</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Modeling the effectiveness of One Health interventions against the zoonotic hookworm <italic>Ancylostoma ceylanicum</italic></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Walker</surname> <given-names>Martin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1101343/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Lambert</surname> <given-names>S&#x000E9;bastien</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/520500/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Neves</surname> <given-names>M. In&#x000EA;s</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Worsley</surname> <given-names>Andrew D.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2166906/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Traub</surname> <given-names>Rebecca</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1684608/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Colella</surname> <given-names>Vito</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1060171/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Pathobiology and Populations Sciences, Royal Veterinary College</institution>, <addr-line>Hatfield</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Infectious Disease Epidemiology, London Centre for Neglected Tropical Disease Research, Imperial College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff3"><sup>3</sup><institution>IHAP, INRAE, ENVT, Universit&#x000E9; de Toulouse</institution>, <addr-line>Toulouse</addr-line>, <country>France</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Veterinary Biosciences, The University of Melbourne</institution>, <addr-line>Melbourne, VIC</addr-line>, <country>Australia</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Serena Cavallero, Sapienza University of Rome, Italy</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Mehdi Borhani Zarandi, Jilin University, China; Joel Henrique Ellwanger, Federal University of Rio Grande do Sul, Brazil</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Martin Walker <email>mwalker&#x00040;rvc.ac.uk</email></corresp>
<corresp id="c002">Vito Colella <email>vito.colella&#x00040;unimelb.edu.ac</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Infectious Diseases: Pathogenesis and Therapy, a section of the journal Frontiers in Medicine</p></fn></author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1092030</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Walker, Lambert, Neves, Worsley, Traub and Colella.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Walker, Lambert, Neves, Worsley, Traub and Colella</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>
<p>Hookworm disease is a major global public health concern, annually affecting 500&#x02013;700 million of the world&#x00027;s poorest people. The World Health Organization is targeting the elimination of hookworm as a public health problem by 2030 using a strategy of mass drug administration (MDA) to at-risk human populations. However, in Southeast Asia and the Pacific the zoonotic hookworm species, <italic>Ancylostoma ceylanicum</italic>, is endemic in dogs and commonly infects people. This presents a potential impediment to the effectiveness of MDA that targets only humans. Here, we develop a novel multi-host (dog and human) transmission model of <italic>A. ceylanicum</italic> and compare the effectiveness of human-only and &#x0201C;One Health&#x0201D; (human plus dog) MDA strategies under a range of eco-epidemiological assumptions. We show that One Health interventions&#x02014;targeting both dogs and humans&#x02014;could suppress prevalence in humans to &#x02264; 1% by the end of 2030, even with only modest coverage (25&#x02013;50%) of the animal reservoir. With increasing coverage, One Health interventions may even interrupt transmission. We discuss key unresolved questions on the eco-epidemiology of <italic>A. ceylanicum</italic>, the challenges of delivering MDA to animal reservoirs, and the growing importance of One Health interventions to human public health.</p></abstract>
<kwd-group>
<kwd>hookworm</kwd>
<kwd><italic>Ancylostoma ceylanicum</italic></kwd>
<kwd>zoonosis</kwd>
<kwd>One Health</kwd>
<kwd>intervention</kwd>
<kwd>elimination</kwd>
<kwd>effectiveness</kwd>
<kwd>modeling</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="1"/>
<equation-count count="4"/>
<ref-count count="57"/>
<page-count count="10"/>
<word-count count="6579"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1. Introduction</title>
<p>Hookworms are one of the three major soil-transmitted helminths (STHs)&#x02014;alongside roundworms and whipworms&#x02014;that collectively affect more than 2 billion people globally, causing significant morbidity (<xref ref-type="bibr" rid="B1">1</xref>). Hookworms alone were associated with approximately 1 million disability adjusted life years in 2019, the highest health burden of the three STHs (<xref ref-type="bibr" rid="B2">2</xref>). Like <italic>Ascaris lumbricoides</italic> (roundworm) and <italic>Trichuris trichiura</italic> (whipworm), hookworms are targeted by the World Health Organization (WHO) for elimination as a public health problem by 2030 using a strategy of so-called preventive chemotherapy (<xref ref-type="bibr" rid="B3">3</xref>). This entails annual or biannual mass administration of anthelmintics to at-risk populations, principally children and women of reproductive age who are at greatest risk of significant morbidity (<xref ref-type="bibr" rid="B1">1</xref>).</p>
<p>In Africa and the Americas, hookworm disease is predominantly caused by the anthroponotic species <italic>Necator americanus</italic> and <italic>Ancylostoma duodenale</italic> [but see (<xref ref-type="bibr" rid="B4">4</xref>)]. Therefore&#x02014;in the absence of significant exogenous sources of infection&#x02014;repeated treatment of human populations at sufficient frequency, coverage and adherence can, in theory, engender elimination (<xref ref-type="bibr" rid="B5">5</xref>&#x02013;<xref ref-type="bibr" rid="B7">7</xref>). However, in Southeast Asia and the Pacific, the zoonotic species <italic>Ancylostoma ceylanicum</italic>&#x02014;which globally infects approximately 100 million people&#x02014;is the second most common cause of hookworm infection in humans (<xref ref-type="bibr" rid="B8">8</xref>&#x02013;<xref ref-type="bibr" rid="B10">10</xref>). Dogs and cats are the main animal hosts of <italic>A. ceylanicum</italic>, and provide a substantial reservoir of infection to humans (<xref ref-type="bibr" rid="B11">11</xref>&#x02013;<xref ref-type="bibr" rid="B13">13</xref>). The presence of a large untreated reservoir of infection presents a serious challenge to the elimination of hookworms in these regions and an impediment to reaching the WHO 2030 goals.</p>
<p>Numerous authors have advocated the use of a &#x0201C;One Health&#x0201D; approach to tackle <italic>A. ceylanicum</italic> hookworm (<xref ref-type="bibr" rid="B9">9</xref>&#x02013;<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>) and indeed the WHO 2030 road map acknowledges the importance of One Health for other NTDs such as rabies, taeniasis, and cystic echinococcosis (<xref ref-type="bibr" rid="B1">1</xref>). Such an approach would likely involve expansion of mass drug administration (MDA) to domestic and stray cat and dog populations in settings where <italic>A. ceylanicum</italic> is endemic (<xref ref-type="bibr" rid="B15">15</xref>), similar to proposals to tackle zoonotic schistosomiasis in Africa by treating livestock (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>) and the existing strategy in China where animals are recognized as key to eliminating <italic>Schistosoma japonicum</italic> (<xref ref-type="bibr" rid="B18">18</xref>). Although there exist a number of highly efficacious treatment options for hookworm in cats and dogs&#x02014;including &#x0201C;spot-on&#x0201D; topical treatments (<xref ref-type="bibr" rid="B19">19</xref>&#x02013;<xref ref-type="bibr" rid="B21">21</xref>)&#x02014;there is currently no empirical evidence on the likely effectiveness of a One Health approach.</p>
<p>In this paper, we develop a novel multi-host transmission dynamics model to compare the effectiveness of a One Health intervention strategy (that targets treatment of both humans and animals) with the current human-only MDA strategy. Motivated by settings in Southeast Asia, where dogs are a major source of <italic>A. ceylanicum</italic> infection (<xref ref-type="bibr" rid="B11">11</xref>&#x02013;<xref ref-type="bibr" rid="B13">13</xref>), we consider a range of eco-epidemiological conditions with humans as either &#x0201C;maintenance&#x0201D; hosts&#x02014;capable of sustaining transmission in the absence of dogs&#x02014;or non-maintenance, spillover hosts (<xref ref-type="bibr" rid="B22">22</xref>). We simulate the impact of MDA starting in 2023 through 2030, aligning to the WHO&#x00027;s elimination timeline (<xref ref-type="bibr" rid="B1">1</xref>), quantifying effectiveness in terms of reductions in infection prevalence, and the probability of interrupting transmission.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>2. Materials and methods</title>
<sec>
<title>2.1. Multi-host transmission dynamics model</title>
<p>Here, we describe the salient features of the multi-host mathematical transmission model developed for this analysis. A complete derivation is given in the <xref ref-type="supplementary-material" rid="SM1">Supplementary material section 1.1</xref> and parameter definitions and values are given in <xref ref-type="table" rid="T1">Table 1</xref>. Briefly, the rate of change in the mean number of hookworms in host <italic>i</italic> at time <italic>t</italic>, <italic>W</italic><sub><italic>i</italic></sub>(<italic>t</italic>), is given by</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M7"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mrow><mml:mi>W</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:mi>t</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003BC;</mml:mi></mml:mrow><mml:mrow><mml:mi>W</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003BC;</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mrow><mml:mtext>e</mml:mtext></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003BC;</mml:mi></mml:mrow><mml:mrow><mml:mi>W</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003BC;</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:msub><mml:mrow><mml:mi>W</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:mi>t</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Parameter definitions and values.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th valign="top" align="left"><bold>Parameter</bold></th>
<th valign="top" align="left"><bold>Definition</bold></th>
<th valign="top" align="left"><bold>Value</bold></th>
<th valign="top" align="left"><bold>Reference</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>R</italic>0</td>
<td valign="top" align="left">Basic reproduction number; average number of adult female <italic>Ancylostoma ceylanicum</italic> produced by a single female worm in the absence of density dependencies</td>
<td valign="top" align="left"><italic>U</italic>[1, 8]</td>
<td valign="top" align="left">This work</td>
</tr> <tr>
<td valign="top" align="left">&#x003C9;<sub>1, 1</sub></td>
<td valign="top" align="left">Proportion of total transmission (<italic>R</italic>0) attributable to host 1 (dogs)</td>
<td valign="top" align="left"><italic>U</italic>[0.5, 1]</td>
<td valign="top" align="left">This work</td>
</tr> <tr>
<td valign="top" align="left">&#x003C9;<sub>2, 1</sub></td>
<td valign="top" align="left">Weighting parameter controlling the proportion of inter-species transmission attributable to host 1 (dogs)</td>
<td valign="top" align="left"><italic>U</italic>[0.5, 1]</td>
<td valign="top" align="left">This work</td>
</tr> <tr>
<td valign="top" align="left"><inline-formula><mml:math id="M1"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">Overdispersion of hookworms among host 1 (dogs) at endemic equilibrium</td>
<td valign="top" align="left"><italic>U</italic>[0.1, 1]</td>
<td valign="top" align="left">This work</td>
</tr> <tr>
<td valign="top" align="left"><inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">Overdispersion of hookworms among host 2 (humans) at endemic equilibrium</td>
<td valign="top" align="left"><italic>U</italic>[0.1, 1]</td>
<td valign="top" align="left">This work</td>
</tr> <tr>
<td valign="top" align="left">&#x003BC;<sub>1</sub></td>
<td valign="top" align="left">Per capita mortality rate of host 1 (dogs)</td>
<td valign="top" align="left">1/5 yr<sup>&#x02212;1</sup></td>
<td/>
</tr> <tr>
<td valign="top" align="left">&#x003BC;<sub>2</sub></td>
<td valign="top" align="left">Per capita mortality rate of host 2 (humans)</td>
<td valign="top" align="left">1/50 yr<sup>&#x02212;1</sup></td>
<td/>
</tr> <tr>
<td valign="top" align="left">&#x003BC;<sub><italic>W</italic></sub></td>
<td valign="top" align="left">Per capita mortality rate of adult hookworms</td>
<td valign="top" align="left">2/3 yr<sup>&#x02212;1</sup></td>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B23">23</xref>)</td>
</tr> <tr>
<td valign="top" align="left">&#x003BC;<sub><italic>L</italic></sub></td>
<td valign="top" align="left">Per capita mortality rate of hookworm larvae</td>
<td valign="top" align="left">2 yr<sup>&#x02212;1</sup></td>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B23">23</xref>)</td>
</tr> <tr>
<td valign="top" align="left"><italic>b</italic></td>
<td valign="top" align="left">Severity of density-dependent constraints on hookworm fecundity</td>
<td valign="top" align="left">0.245</td>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B24">24</xref>)</td>
</tr> <tr>
<td valign="top" align="left">&#x003F5;<sub>1</sub></td>
<td valign="top" align="left">Efficacy of spot-on formulation of imidacloprid and moxidectin (Advocate<sup>&#x000AE;</sup>) in host 1 (dogs)</td>
<td valign="top" align="left">100%</td>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B19">19</xref>)</td>
</tr> <tr>
<td valign="top" align="left">&#x003F5;<sub>2</sub></td>
<td valign="top" align="left">Efficacy of single oral dose aldendazole in host 2 (humans)</td>
<td valign="top" align="left">90%</td>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B25">25</xref>)</td>
</tr> <tr>
<td valign="top" align="left"><italic>c</italic><sub>1</sub></td>
<td valign="top" align="left">Coverage of mass drug administration in host 1 (dogs)</td>
<td valign="top" align="left">25%, 50% and 75%</td>
<td valign="top" align="left">This work</td>
</tr> <tr>
<td valign="top" align="left"><italic>c</italic><sub>2</sub></td>
<td valign="top" align="left">Coverage of mass drug administration in host 2 (humans)</td>
<td valign="top" align="left">75%</td>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B26">26</xref>)</td>
</tr></tbody>
</table>
</table-wrap>
<p>where &#x003BC;<sub><italic>W</italic></sub> is the per capita mortality rate of adult hookworms (such that 1/&#x003BC;<sub><italic>W</italic></sub> is the life expectancy; assumed equal in both hosts), &#x003BC;<sub><italic>i</italic></sub> and &#x003BC;<sub><italic>j</italic></sub> are the mortality rates of hosts <italic>i</italic> and <italic>j</italic>, respectively, and <italic>R</italic>e<sub><italic>i, j</italic></sub> are components of the effective reproduction number, <italic>R</italic><sub>e</sub>, describing transmission in (recipient) host <italic>i</italic> from (donor) host <italic>j</italic> (i.e., where <italic>i</italic> &#x0003D; <italic>j</italic> corresponds to transmission between the same host species&#x02014;&#x0201C;intra-species&#x0201D;&#x02014;and <italic>i</italic>&#x02260;<italic>j</italic> to transmission between different host species&#x02014;&#x0201C;inter-species&#x0201D;). The components <italic>R</italic>e<sub><italic>i, j</italic></sub> are given by</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M8"><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mtext>e</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:msub><mml:mn>0</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi>&#x003A9;</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>W</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mi>&#x003A6;</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>W</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
<p>where &#x003A9;(&#x000B7;) and &#x003A6;(&#x000B7;) denote (constraining) density-dependent fecundity (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B27">27</xref>) and (facilitating) mating probability functions (<xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>), respectively (see <xref ref-type="supplementary-material" rid="SM1">Supplementary material section 1.2</xref>). Note that parameter <italic>k</italic><sub><italic>j</italic></sub>(<italic>t</italic>)&#x02014;which (inversely) quantifies the degree of aggregation (overdispersion) of hookworms in host <italic>j</italic> (<xref ref-type="bibr" rid="B23">23</xref>)&#x02014;is dynamic and increases after each treatment round due to imperfect adherence (<xref ref-type="bibr" rid="B30">30</xref>) (see <xref ref-type="supplementary-material" rid="SM1">Supplementary material section 1.3</xref>). The basic reproduction number, <italic>R</italic>0, is given by the dominant eigenvalue of the so-called <bold>K</bold> matrix of intra- and inter-species components, <italic>R</italic>0<sub><italic>i, j</italic></sub> (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B32">32</xref>). We parameterize matrix <bold>K</bold> as</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M9"><mml:mrow><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mi>K</mml:mi></mml:mstyle><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mn>0</mml:mn><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mn>0</mml:mn><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>&#x003C9;</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>where &#x003C9;<sub>1, 1</sub> &#x0003D; 1&#x02212;&#x003C9;<sub>2, 2</sub> is the proportion of total transmission (i.e., proportion of <italic>R</italic>0) attributable to host 1 and &#x003C9;<sub>2, 1</sub> &#x0003D; 1&#x02212;&#x003C9;<sub>1, 2</sub> controls the proportion of inter-species transmission attributable to host 1 (which is a function of <italic>R</italic>0; see <xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Transmission dynamics model schematic. The mean number of <italic>Ancylostoma ceylanicum</italic> hookworms at time <italic>t</italic> in host 1 (dogs) and host 2 (humans) is denoted <italic>W</italic><sub>1</sub>(<italic>t</italic>) and <italic>W</italic><sub>2</sub>(<italic>t</italic>), respectively, and the mean density of larvae in the environment by <italic>L</italic>(<italic>t</italic>). Transmission among and between dogs and humans is coupled by a single shared environment. Intra-species transmission is defined by the reproduction numbers <italic>R</italic>0<sub>1, 1</sub> and <italic>R</italic>0<sub>2, 2</sub>, respectively (solid arrows). The proportion of total transmission&#x02014;defined by <italic>R</italic>0&#x02014;that is attributable to dogs is given by &#x003C9;<sub>1, 1</sub> &#x0003D; (1&#x02212;&#x003C9;<sub>2, 2</sub>). Inter-species transmission in dogs from humans is defined by <italic>R</italic>0<sub>1, 2</sub> and in humans from dogs by <italic>R</italic>0<sub>2, 1</sub> (broken lines). The proportion of inter-species transmission attributable to dogs is proportional to <italic>R</italic>0 for &#x003C9;<sub>2, 1</sub> &#x0003D; 1&#x02212;&#x003C9;<sub>1, 2</sub> &#x0003D; 0.5 and proportional to <italic>R</italic>0<sup>2</sup> for &#x003C9;<sub>2, 1</sub> &#x0003D; 1.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-10-1092030-g0001.tif"/>
</fig>
</sec>
<sec>
<title>2.2. Infection prevalence</title>
<p>The prevalence of infection is derived from assuming a negative binomial distribution of hookworms among hosts (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B33">33</xref>), such that</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M10"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>W</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
<p>Note that we assume implicitly that prevalence is measured using a perfect diagnostic (i.e., 100% sensitivity and specificity). The &#x0201C;apparent&#x0201D; prevalence would be affected by imperfect sensitivity and specificity, although for PCR, both have been reported as very high (<xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B35">35</xref>).</p>
</sec>
<sec>
<title>2.3. Parameter sampling</title>
<p>We considered <italic>R</italic>0, &#x003C9;<sub>1, 1</sub>(&#x0003D; 1&#x02212;&#x003C9;<sub>2, 2</sub>), &#x003C9;<sub>2, 1</sub>(&#x0003D; 1&#x02212;&#x003C9;<sub>1, 2</sub>), <inline-formula><mml:math id="M11"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and <inline-formula><mml:math id="M12"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (where <inline-formula><mml:math id="M13"><mml:msubsup><mml:mrow><mml:mi>k</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> is the degree of overdispersion at endemic equilibrium; see <xref ref-type="supplementary-material" rid="SM1">Supplementary material section 1.3</xref>) as likely highly variable among different endemic settings. We therefore sampled 10, 000 parameter sets from independent uniform distributions using a Latin hypercube approach (<xref ref-type="bibr" rid="B36">36</xref>). We restricted the sampling to settings where <italic>R</italic>0&#x0003E;1 [although note that because hookworms are obligate sexually reproducing parasites, <italic>R</italic>0 &#x0003D; 1 is not a threshold for persistence (<xref ref-type="bibr" rid="B37">37</xref>), and therefore some of the parameter sets did not yield stable endemic equilibrium] and where dogs contribute a majority to both total transmission and inter-species transmission (i.e., &#x003C9;<sub>1, 1</sub>&#x02208;[0.5, 1] and &#x003C9;<sub>2, 1</sub>&#x02208;[0.5, 1]; see <xref ref-type="fig" rid="F1">Figure 1</xref>). The overdispersion parameters <inline-formula><mml:math id="M14"><mml:msubsup><mml:mrow><mml:mi>k</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> were sampled from plausible ranges (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B33">33</xref>) (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
</sec>
<sec>
<title>2.4. Modeling interventions</title>
<p>We simulated human-only and human plus dog &#x0201C;One Health&#x0201D; MDA strategies for the 10,000 parameter sets reaching stable endemic equilibrium. For simplicity, we considered only settings without prior intervention (i.e., at endemic equilibrium). We simulated annual MDA for endemic prevalence in humans &#x02265;20% and biannual MDA for prevalence &#x02265;50% (<xref ref-type="bibr" rid="B26">26</xref>) starting in 2023 with a final treatment in 2030 (i.e., 8 or 16 annual or biannual rounds, respectively). We assumed that dogs were treated with a spot-on anthelminthic with &#x003F5;<sub>1</sub> &#x0003D; 100% efficacy (e.g., imidacloprid and moxidectin) (<xref ref-type="bibr" rid="B19">19</xref>) and humans with a single oral dose of albendazole, with efficacy &#x003F5;<sub>2</sub> &#x0003D; 90% (<xref ref-type="bibr" rid="B25">25</xref>). Coverage in dogs, <italic>c</italic><sub>1</sub>, was varied between 25% and 75% and for humans, we assumed a coverage of <italic>c</italic><sub>2</sub> &#x0003D; 75%. We modeled treatment as killing instantaneously a proportion <italic>c</italic><sub><italic>i</italic></sub>&#x003F5;<sub><italic>i</italic></sub> of adult hookworms. Note that the model is not age-structured and thus does not capture age-associated variation in infection and transmission and that <italic>c</italic><sub>2</sub> &#x0003D; 75% should be considered as a nominally &#x0201C;high&#x0201D; coverage, but is not directly comparable to the 75% target coverage for at-risk groups (children aged 1&#x02013;14 years and women 15&#x02013;45 years) set by the WHO (<xref ref-type="bibr" rid="B26">26</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3. Results</title>
<sec>
<title>3.1. Endemic settings</title>
<p>We used our transmission dynamics model (see section 2.1 and the schematic in <xref ref-type="fig" rid="F1">Figure 1</xref>) to simulate a variety of endemic settings by random sampling of parameters governing the intensity of transmission&#x02014;defined by the basic reproduction number, <italic>R</italic>0&#x02014;the contribution of dogs to total and inter-species transmission (determined by parameters &#x003C9;<sub>1, 1</sub> and &#x003C9;<sub>2, 1</sub>) and the degree of parasite aggregation among hosts (<inline-formula><mml:math id="M15"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M16"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>; see also <xref ref-type="table" rid="T1">Table 1</xref>). We considered only settings where dogs are majority contributors to total transmission (i.e., <italic>R</italic>0<sub>1, 1</sub>&#x0003E;<italic>R</italic>0<sub>2, 2</sub>) and inter-species transmission (which is a non-linear function of <italic>R</italic>0; <xref ref-type="fig" rid="F2">Figure 2</xref>), and we restricted <italic>R</italic>0 &#x0003C; 8. These relaxed parameter restrictions resulted in the endemic prevalence in dogs ranging from 26 to 99% and in humans from &#x0003C; 1 to 100% (<xref ref-type="fig" rid="F2">Figure 2A</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Endemic prevalence of <italic>Ancylostoma ceylanicum</italic> in dogs and humans simulated from the multi-host transmission dynamics model. Variation in prevalence <bold>(A)</bold> was generated by random sampling of parameters governing the basic reproduction number, <italic>R</italic>0, the contribution of dogs to total and inter-species transmission, &#x003C9;<sub>1, 1</sub> and &#x003C9;<sub>2, 1</sub>, and the degree of parasite aggregation among hosts, <inline-formula><mml:math id="M3"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M4"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>. The strength of association between infection prevalence in humans <bold>(B)</bold> and dogs <bold>(C)</bold> and parameters <italic>R</italic>0, &#x003C9;<sub>1, 1</sub>, &#x003C9;<sub>2, 1</sub>, <inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and <inline-formula><mml:math id="M6"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> is quantified by the partial rank correlation coefficient, PRCC (<xref ref-type="bibr" rid="B38">38</xref>). The simulated endemic state is characterized by the distribution of <italic>R</italic>0<sub>1, 1</sub>, <italic>R</italic>0<sub>1, 2</sub>, <italic>R</italic>0<sub>2, 1</sub>, and <italic>R</italic>0<sub>2, 2</sub> <bold>(D)</bold>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-10-1092030-g0002.tif"/>
</fig>
<p>High prevalence in humans is driven principally by a high <italic>R</italic>0, and a low degree of parasite aggregation (higher <inline-formula><mml:math id="M17"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, <xref ref-type="fig" rid="F2">Figure 2B</xref>; see also Section 2.2). Low prevalence is driven by an increased contribution of dogs to transmission (higher &#x003C9;<sub>1, 1</sub>) and, to a lesser extent, by a decline in parasite aggregation among dogs (higher <inline-formula><mml:math id="M18"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) which lessens the severity of constraints on hookworm fecundity. Like in humans, prevalence in dogs is driven predominantly by <italic>R</italic>0 and the degree of parasite aggregation, <inline-formula><mml:math id="M19"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (<xref ref-type="fig" rid="F2">Figure 2C</xref>). Less important is their contribution to total and inter-species transmission, &#x003C9;<sub>1, 1</sub> and &#x003C9;<sub>2, 1</sub>, since in all settings dogs are assumed to be majority contributors to <italic>R</italic>0. The degree of parasite aggregation among humans, <inline-formula><mml:math id="M20"><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, also has limited impact on prevalence in dogs due to the restrictions imposed on human to dog transmission (i.e., a minimum of 50% of inter-species transmission is assumed to be attributable to dogs; see <xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<p>Overall, the simulated endemic settings capture a broad array of eco-epidemiological conditions. These range from dogs and humans both as &#x0201C;maintenance hosts&#x0201D;&#x02014;generally defined by <italic>R</italic>0<sub>1, 1</sub>&#x0003E;1 and <italic>R</italic>0<sub>2, 2</sub>&#x0003E;1 (<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B39">39</xref>), although note that <italic>R</italic>0 &#x0003D; 1 is not a threshold of persistence for dioecious sexually reproducing macroparasites (<xref ref-type="bibr" rid="B37">37</xref>)&#x02014;to dogs as sole maintenance hosts with infection in humans driven by zoonotic &#x0201C;spillover&#x0201D;&#x02014;generally defined by <italic>R</italic>0<sub>1, 1</sub>&#x0003E;1 and <italic>R</italic>0<sub>2, 2</sub> &#x0003C; 1 (<xref ref-type="fig" rid="F2">Figure 2D</xref>). In particular, because parameter &#x003C9;<sub>2, 1</sub>&#x0003E;0.5 permitted a disproportionate contribution of dogs to inter-species transmission (<xref ref-type="fig" rid="F1">Figure 1</xref>), it was possible to capture significant spillover in humans even in low-intensity transmission settings. Hence, certain parameter sets can yield extremely low endemic prevalence in humans (<xref ref-type="fig" rid="F2">Figure 2A</xref>).</p>
</sec>
<sec>
<title>3.2. Infection dynamics during interventions</title>
<p>We applied the current WHO guidelines on initiating MDA, simulating annual treatment in settings with an endemic prevalence in humans &#x02265;20% and biannual treatment for prevalence &#x02265;50% (<xref ref-type="bibr" rid="B26">26</xref>). We modeled only the prevalence of <italic>A. ceylanicum</italic> and therefore, in reality, MDA could be indicated when the prevalence of <italic>A. ceylanicum</italic> is &#x0003C; 20% in settings where other STH species are endemic. We also set the coverage of treatment in humans to the nominal target value of 75% (<xref ref-type="bibr" rid="B1">1</xref>) set by the WHO and thus the dynamics elicited by human-only (or the human component of One Health) MDA strategies can be viewed as a &#x0201C;best case&#x0201D; scenario.</p>
<p>In human-only treatment strategies, the prevalence dynamics often reach a &#x0201C;pseudo-equilibrium,&#x0201D; whereby transmission is suppressed but relatively stable for both annual (<xref ref-type="fig" rid="F3">Figure 3A</xref>) and biannual (<xref ref-type="fig" rid="F3">Figure 3C</xref>) MDA. In these circumstances&#x02014;where the effective reproduction number, <italic>R</italic><sub>e</sub>&#x0003E;1 (<xref ref-type="fig" rid="F3">Figures 3B</xref>, <xref ref-type="fig" rid="F3">D</xref>)&#x02014;stopping MDA would result in resurgence.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Dynamics of <italic>Anyclostoma ceylanicum</italic> infection prevalence during 8 years of human-only mass drug administration (MDA) simulated using the multi-host transmission dynamics model. For illustration, parameter sets were selected that gave an endemic prevalence in humans of 25&#x02013;30% <bold>(A)</bold> and 60&#x02013;65% <bold>(C)</bold>. The solid colored lines indicate the median prevalence of infection (from the sampled parameter sets) in dogs and humans (as indicated) during annual <bold>(A)</bold> or biannual <bold>(C)</bold> MDA at 75% coverage and the lighter shaded areas indicate the extent of the 5th and 95th percentiles. The associated effective reproduction numbers, <italic>R</italic><sub>e</sub>, are shown in <bold>(B)</bold> and <bold>(D)</bold>, the solid line indicating the median and the shaded gray area the 5th and 95th percentiles. Below the threshold <italic>R</italic><sub>e</sub> &#x0003D; 1, transmission is interrupted and the parasite population tends to elimination.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-10-1092030-g0003.tif"/>
</fig>
<p>When a One Health strategy is implemented and MDA is extended to include dogs (assumed to be delivered at the same frequency as indicated for humans), prevalence in both dogs and humans declines progressively toward 2030 (<xref ref-type="fig" rid="F4">Figures 4A</xref>, <xref ref-type="fig" rid="F4">C</xref>) and, on average, <italic>R</italic><sub>e</sub> is suppressed below 1 (<xref ref-type="fig" rid="F4">Figures 4B</xref>, <xref ref-type="fig" rid="F4">D</xref>) indicating interruption of transmission. Note that scenarios in which only dogs are treated were not considered here but would likely&#x02014;depending on the intensity of intra- and inter-species transmission&#x02014;suppress prevalence more rapidly in humans than seen in dogs for the corresponding human-only treatment strategies shown in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Dynamics of <italic>Anyclostoma ceylanicum</italic> infection prevalence during 8 years of &#x0201C;One Health&#x0201D; (dog plus human) mass drug administration (MDA) simulated using the multi-host transmission dynamics model. For illustration, parameter sets were selected that gave an endemic prevalence in humans of 25&#x02013;30% <bold>(A)</bold> and 60&#x02013;5% (C). The solid colored lines indicate the median prevalence of infection (from the sampled parameter sets) in dogs and humans (as indicated) during annual <bold>(A)</bold> or biannual <bold>(C)</bold> MDA at 75% coverage in humans and 50% cover in dogs. The lighter shaded areas indicate the extent of the 5th and 95th percentiles. The associated effective reproduction numbers, <italic>R</italic><sub>e</sub>, are shown in <bold>(B)</bold> and <bold>(D)</bold>, the solid line indicating the median and the shaded gray area the 5th and 95th percentiles. Below the threshold <italic>R</italic><sub>e</sub> &#x0003D; 1, transmission is interrupted and the parasite population tends to elimination.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-10-1092030-g0004.tif"/>
</fig>
</sec>
<sec>
<title>3.3. Effectiveness of One Health interventions</title>
<p>The implementation of a One Health MDA strategy has a significantly greater effect on suppressing the prevalence of <italic>A. ceylanicum</italic> hookworm in humans (and in dogs) by the end of 2030 compared to human-only MDA (<xref ref-type="fig" rid="F5">Figures 5A</xref>, <xref ref-type="fig" rid="F5">B</xref>). In particular, reaching a coverage of more than 50% in dogs suppresses the prevalence in humans to below 1% in a majority of scenarios (<xref ref-type="fig" rid="F5">Figure 5C</xref>). Moreover, reaching 75% coverage in dogs yielded high (&#x02265;75%) chances of interrupting transmission and achieving local elimination (<xref ref-type="fig" rid="F5">Figure 5D</xref>).</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Effectiveness of 8 years of human-only or &#x0201C;One Health&#x0201D; (human plus dog) mass drug administration (MDA) against <italic>Ancylostoma ceylanicum</italic>. Boxplots show the prevalence of <italic>A. ceylanicum</italic> in humans <bold>(A)</bold> and dogs <bold>(B)</bold> at endemic equilibrium in 2022 and after 8 years of MDA at the end of 2030. Human-only MDA is indicated by a coverage in dogs of 0% (lightest color), with the coverage in dogs for One Health MDA varied between 25% and 75% as indicated. The bottom panels show the percentage of parameter sets yielding a prevalence &#x0003C; 1% in humans <bold>(C)</bold> or interruption of transmission [elimination; <italic>R</italic><sub>e</sub> &#x0003C; 1; <bold>(D)</bold>] by 2030 against the endemic prevalence in 2022. MDA was not simulated for an endemic prevalence in humans of &#x0003C; 20%.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-10-1092030-g0005.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4. Discussion</title>
<p><italic>Ancylostoma ceylanicum</italic> is the second most common cause of hookworm infection in Southeast Asia and the Pacific (<xref ref-type="bibr" rid="B8">8</xref>&#x02013;<xref ref-type="bibr" rid="B10">10</xref>), with substantial reservoirs of infection in dogs and cats (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). Here, we have modeled the potential effectiveness of a One health intervention strategy that expands MDA beyond only humans to also target the zoonotic reservoir of infection. Reflecting the uncertain epidemiology of <italic>A. ceylanicum</italic>, we simulated a broad range of plausible eco-epidemiological settings involving a single animal reservoir (here, dogs, which are major source of <italic>A. ceylanicum</italic> infection in some regions of Southeast Asia). We show that even modest MDA coverage (between 25% and 50%, assuming perfect adherence and drug efficacy) of the animal host may substantially improve effectiveness compared to current human-only strategies. Even in highly endemic treatment-naive settings, 50% MDA coverage is likely to suppress the prevalence of <italic>A. ceylanicum</italic> to &#x0003C; 1% by 2030 and may also achieve local elimination of transmission.</p>
<p>Our results indicate that One Health interventions will be essential to reaching the WHO 2030 elimination goals (<xref ref-type="bibr" rid="B1">1</xref>) in many settings where <italic>A. ceylanicum</italic> is endemic (<xref ref-type="bibr" rid="B9">9</xref>&#x02013;<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>). It is noteworthy that the current WHO elimination goals do not mention <italic>A. ceylanicum</italic> (rather, just the the two most globally common species <italic>A. duodenale</italic> and <italic>N. americanus</italic>) (<xref ref-type="bibr" rid="B1">1</xref>). This may reflect a recognition of the likely limitations of human-only MDA where <italic>A. ceylanicum</italic> is endemic or a simple oversight of the emerging importance of zoonotic hookworm in the Asia-Pacific region. Irrespective, our results show clearly that&#x02014;even with optimistic assumptions of human MDA coverage&#x02014;the prevalence of <italic>A. ceylanicum</italic> hookworm may remain stubbornly high by 2030 without a One Health approach.</p>
<p>Intuitively, it is unsurprising that where <italic>A. ceylanicum</italic> is endemic&#x02014;and animals (dogs) are the dominant driver of transmission, as modeled here&#x02014;targeting only humans is unlikely to be an effective intervention. Likewise, for hookworm in general, it is unsurprising that treating only school-age children is a sub-optimal strategy because of the typical age-infection profiles that continue to increase into adulthood (<xref ref-type="bibr" rid="B40">40</xref>). Modeling provides a formal quantitative framework with which to compare these assertions with alternatives [such as treating humans and animals, or treating whole communities rather than only school-age children (<xref ref-type="bibr" rid="B41">41</xref>&#x02013;<xref ref-type="bibr" rid="B43">43</xref>)]. Hence, it is important that our results are viewed as illustrating the need and the potential effectiveness of One Health interventions, not as predictions. Indeed, we have deliberately used a highly simplified modeling framework (e.g., host demographic structure is omitted; only a single animal reservoir is considered) both to enhance analytical tractability and to avoid over-interpretation of the results.</p>
<p>There currently remains too much of the eco-epidemiology of <italic>A. ceylanicum</italic> that is unknown to entertain more predictive modeling approaches. In particular, we are unaware of any studies that have attempted to quantify the relative contribution of humans and animal hosts to transmission [such as those for zoonotic schistosomiasis (<xref ref-type="bibr" rid="B44">44</xref>, <xref ref-type="bibr" rid="B45">45</xref>)], although the few studies collecting data from humans and animals in the same epidemiological setting suggest that human-to-human transmission is likely substantially less common than animal-to-human transmission (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). Moreover, estimates of infection intensity&#x02014;critical to understanding intra- and inter-species dynamics&#x02014;have only relatively recently been developed, using quantitative PCR techniques that can be calibrated to more traditional parasitological measures (i.e., egg counts) to assist with interpretation (<xref ref-type="bibr" rid="B46">46</xref>&#x02013;<xref ref-type="bibr" rid="B49">49</xref>), including the calculation of drug efficacy (<xref ref-type="bibr" rid="B15">15</xref>). Indeed, we could not model egg counts here [or the prevalence of &#x0201C;moderate&#x0201D; or &#x0201C;high&#x0201D; intensity infection (<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B26">26</xref>)] because of these unknowns.</p>
<p>The inability to model explicitly quantities relating to the elimination of hookworm as a public health problem [i.e, prevalence of &#x0201C;moderate&#x0201D; or &#x0201C;heavy&#x0201D; infections &#x0003C; 2% (<xref ref-type="bibr" rid="B1">1</xref>)] meant that we could not evaluate the likelihood of One Health MDA strategies reaching this goal. Nevertheless&#x02014;and irrespective of whether this goal is feasible where <italic>A. ceylanicum</italic> is endemic&#x02014;resurgence is a risk in any settings where transmission is not interrupted (<xref ref-type="bibr" rid="B50">50</xref>, <xref ref-type="bibr" rid="B51">51</xref>). The challenge posed by untreated zoonotic reservoirs is analogous to the question of whether treating only at-risk human population groups (i.e., children and women of childbearing age) will be sufficient to achieve sustained elimination of STHs more generally (<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B42">42</xref>). While treating only at-risk groups may be sufficient to drive prevalence to very low levels by 2030, modeling has shown that stopping intervention will risk resurgence in many endemic settings (<xref ref-type="bibr" rid="B50">50</xref>, <xref ref-type="bibr" rid="B51">51</xref>). Hence, it has been argued that without wider community coverage aimed at breaking transmission (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B42">42</xref>), sustained elimination could require continuation of intervention (i.e., MDA) almost indefinitely. Our results concord with this assertion; without One Health interventions that go beyond human hosts, sustained elimination of <italic>A. ceylanicum</italic> is unlikely.</p>
<p>The use of modeling to demonstrate the potential effectiveness of One Health interventions where <italic>A. ceylanicum</italic> is endemic is, of course, much easier than the myriad complexities associated with implementation. First, while being most common in Southeast Asia and the Pacific, the geographic extent of <italic>A. ceylanicum</italic> continues to expand with the increasing use of molecular methods that distinguish hookworm species. Indeed, <italic>A. ceylanicum</italic> has recently been identified for the first time in the Americas (<xref ref-type="bibr" rid="B52">52</xref>, <xref ref-type="bibr" rid="B53">53</xref>). Second, diagnosis and geographical mapping relies on molecular PCR methods which are more costly and resource-intensive than traditional parasitological methods. Third, although topical (spot-on) anthelminthic formulations&#x02014;which would be a highly practicable mode of treatment&#x02014;are highly efficacious (<xref ref-type="bibr" rid="B19">19</xref>&#x02013;<xref ref-type="bibr" rid="B21">21</xref>), they are also expensive, intended for the commercial market of pet owners. Hence, the implementation of MDA in impoverished communities would require low-cost procurement or donation.</p>
<p>It is also important to reiterate that the modeling presented here considers only settings where there is a single animal reservoir of infection that is relatively straightforward to target for intervention (MDA). Yet <italic>A. ceylanicum</italic> can be common among both dogs and cats (<xref ref-type="bibr" rid="B12">12</xref>). Consequently, the implementation of an effective One Health intervention would require identification of the main animal reservoirs of infection that contribute substantially to human infection. This would incur further resource overheads and logistical complexity to implementation. Indeed, if in our modeling framework we included both dogs and cats as equally contributing to infection in humans, but only the former were targeted for MDA, the effectiveness (and likely also the cost-effectiveness) of the intervention in reducing human infection would be greatly diminished. However, in a recent study performed across eight countries in Asia, hookworms were significantly higher in dogs than in cats, with implementation of educational programs deemed crucial for the control of zoonotic infections of companion animals in Asia (<xref ref-type="bibr" rid="B54">54</xref>). While MDA is the cornerstone of the WHO&#x00027;s strategy to eliminating STHs, other approaches such as improved water and sanitation (WASH), education and awareness, infrastructure development, and food safety are also advocated as complementary activities (<xref ref-type="bibr" rid="B1">1</xref>). Additionally, treatment of animals, vaccination, and animal husbandry and management practices (all under a One Health umbrella) are also specifically supported by the WHO in the context of other NTDs such as rabies, taeniasis, and echinococcosis. Hence, while the implementation of a One Health approach to tackle <italic>A. ceylanicum</italic> hookworm would undoubtedly present challenges, similar approaches are not without precedent for other NTDs.</p>
</sec>
<sec sec-type="conclusions" id="s5">
<title>5. Conclusions</title>
<p>Although <italic>A. ceylanicum</italic> has been recognized as a multi-host parasite since 1913, it has only been in the past decade that it has been recognized as of significant public health importance (<xref ref-type="bibr" rid="B4">4</xref>). This period has seen a great expansion in the use of molecular approaches that have blurred the lines of host specificity in other helminth species, including schistosomes (<xref ref-type="bibr" rid="B44">44</xref>, <xref ref-type="bibr" rid="B55">55</xref>), and other STHs (<xref ref-type="bibr" rid="B56">56</xref>, <xref ref-type="bibr" rid="B57">57</xref>). It is thus unquestionable that One Health approaches to tackling these neglected diseases will be increasingly emphasized as inroads are made into the human reservoirs of infection while animal reservoirs remain largely unchecked. We have shown that a One Health MDA strategy could be highly effective against <italic>A. ceylanicum</italic> hookworm in endemic regions of Southeast Asia and beyond and will be essential for sustained elimination and reaching the WHO 2030 goals. While there remain challenges to implementation&#x02014;as well as significant gaps in knowledge on the eco-epidemiology of zoonotic hookworms&#x02014;this work illustrates the potentially substantial impact of a One Health approach to improving human public health.</p>
</sec>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: The model code used for this analysis is publicly available at <ext-link ext-link-type="uri" xlink:href="https://github.com/martwalker/zoonotic-hookworm">https://github.com/martwalker/zoonotic-hookworm</ext-link>.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>MW, SL, and VC conceptualized the work. MW conducted the analysis and drafted the manuscript. MW, SL, and MN built the model. MW, SL, RT, and VC edited the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare 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="s8">
<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>
<sec sec-type="supplementary-material" id="s9">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmed.2023.1092030/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmed.2023.1092030/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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