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<title xml:lang="en">Role of environmental persistence in pathogen transmission: a mathematical modeling approach</title>
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<name sortKey="Breban, Romulus" sort="Breban, Romulus" uniqKey="Breban R" first="Romulus" last="Breban">Romulus Breban</name>
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<idno type="pmid">22382994</idno>
<idno type="pmc">7079992</idno>
<idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7079992</idno>
<idno type="RBID">PMC:7079992</idno>
<idno type="doi">10.1007/s00285-012-0520-2</idno>
<date when="2012">2012</date>
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<title xml:lang="en" level="a" type="main">Role of environmental persistence in pathogen transmission: a mathematical modeling approach</title>
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<name sortKey="Breban, Romulus" sort="Breban, Romulus" uniqKey="Breban R" first="Romulus" last="Breban">Romulus Breban</name>
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<title level="j">Journal of Mathematical Biology</title>
<idno type="ISSN">0303-6812</idno>
<idno type="eISSN">1432-1416</idno>
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<p>Although diseases such as influenza, tuberculosis and SARS are transmitted through an environmentally mediated mechanism, most modeling work on these topics is based on the concepts of infectious contact and direct transmission. In this paper we use a paradigm model to show that environmental transmission appears like direct transmission in the case where the pathogen persists little time in the environment. Furthermore, we formulate conditions for the validity of this modeling approximation and we illustrate them numerically for the cases of cholera and influenza. According to our results based on recently published parameter estimates, the direct transmission approximation fails for both cholera and influenza. While environmental transmission is typically chosen over direct transmission in modeling cholera, this is not the case for influenza.</p>
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<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">J Math Biol</journal-id>
<journal-id journal-id-type="iso-abbrev">J Math Biol</journal-id>
<journal-title-group>
<journal-title>Journal of Mathematical Biology</journal-title>
</journal-title-group>
<issn pub-type="ppub">0303-6812</issn>
<issn pub-type="epub">1432-1416</issn>
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<publisher-name>Springer-Verlag</publisher-name>
<publisher-loc>Berlin/Heidelberg</publisher-loc>
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<article-id pub-id-type="pmid">22382994</article-id>
<article-id pub-id-type="pmc">7079992</article-id>
<article-id pub-id-type="publisher-id">520</article-id>
<article-id pub-id-type="doi">10.1007/s00285-012-0520-2</article-id>
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<subject>Article</subject>
</subj-group>
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<title-group>
<article-title>Role of environmental persistence in pathogen transmission: a mathematical modeling approach</article-title>
</title-group>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Breban</surname>
<given-names>Romulus</given-names>
</name>
<address>
<email>romulus.breban@pasteur.fr</email>
</address>
<xref ref-type="aff" rid="Aff1"></xref>
</contrib>
<aff id="Aff1">
<institution-wrap>
<institution-id institution-id-type="GRID">grid.428999.7</institution-id>
<institution-id institution-id-type="ISNI">0000000123536535</institution-id>
<institution>Unité d’Epidémiologie des Maladies Emergentes,</institution>
<institution>Institut Pasteur,</institution>
</institution-wrap>
75724 Paris, France</aff>
</contrib-group>
<pub-date pub-type="epub">
<day>1</day>
<month>3</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="ppub">
<year>2013</year>
</pub-date>
<volume>66</volume>
<issue>3</issue>
<fpage>535</fpage>
<lpage>546</lpage>
<history>
<date date-type="received">
<day>22</day>
<month>6</month>
<year>2011</year>
</date>
<date date-type="rev-recd">
<day>17</day>
<month>2</month>
<year>2012</year>
</date>
</history>
<permissions>
<copyright-statement>© Springer-Verlag 2012</copyright-statement>
<license>
<license-p>This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.</license-p>
</license>
</permissions>
<abstract id="Abs1">
<p>Although diseases such as influenza, tuberculosis and SARS are transmitted through an environmentally mediated mechanism, most modeling work on these topics is based on the concepts of infectious contact and direct transmission. In this paper we use a paradigm model to show that environmental transmission appears like direct transmission in the case where the pathogen persists little time in the environment. Furthermore, we formulate conditions for the validity of this modeling approximation and we illustrate them numerically for the cases of cholera and influenza. According to our results based on recently published parameter estimates, the direct transmission approximation fails for both cholera and influenza. While environmental transmission is typically chosen over direct transmission in modeling cholera, this is not the case for influenza.</p>
</abstract>
<kwd-group xml:lang="en">
<title>Keywords</title>
<kwd>Environmental transmission</kwd>
<kwd>Environmental persistence</kwd>
<kwd>Direct transmission</kwd>
<kwd>Slow–fast dynamics</kwd>
</kwd-group>
<kwd-group xml:lang="--">
<title>Mathematics Subject Classification (2000)</title>
<kwd>92D30</kwd>
<kwd>92D40</kwd>
<kwd>93A30</kwd>
</kwd-group>
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<custom-meta>
<meta-name>issue-copyright-statement</meta-name>
<meta-value>© Springer-Verlag Berlin Heidelberg 2013</meta-value>
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