<?xml version="1.0" encoding="UTF-8"?>
<modsCollection xmlns="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd">
  <mods>
    <titleInfo>
      <title>Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits</title>
    </titleInfo>
    <name type="personnal">
      <namePart type="family">Djidjou-Demasse</namePart>
      <namePart type="given">Ramsès</namePart>
      <role>
        <roleTerm type="text">auteur</roleTerm>
        <roleTerm type="code" authority="marcrelator">aut</roleTerm>
      </role>
      <affiliation>IRD</affiliation>
    </name>
    <name type="personnal">
      <namePart type="family">Abiodun</namePart>
      <namePart type="given">G. J.</namePart>
      <role>
        <roleTerm type="text">auteur</roleTerm>
        <roleTerm type="code" authority="marcrelator">aut</roleTerm>
      </role>
      <affiliation>IRD</affiliation>
    </name>
    <name type="personnal">
      <namePart type="family">Adeola</namePart>
      <namePart type="given">A. M.</namePart>
      <role>
        <roleTerm type="text">auteur</roleTerm>
        <roleTerm type="code" authority="marcrelator">aut</roleTerm>
      </role>
      <affiliation>IRD</affiliation>
    </name>
    <name type="personnal">
      <namePart type="family">Botai</namePart>
      <namePart type="given">J. O.</namePart>
      <role>
        <roleTerm type="text">auteur</roleTerm>
        <roleTerm type="code" authority="marcrelator">aut</roleTerm>
      </role>
      <affiliation>IRD</affiliation>
    </name>
    <typeOfResource>text</typeOfResource>
    <genre authority="local">journalArticle</genre>
    <language>
      <languageTerm type="code" authority="iso639-2b">eng</languageTerm>
    </language>
    <physicalDescription>
      <internetMediaType>text/pdf</internetMediaType>
      <digitalOrigin>born digital</digitalOrigin>
      <reformattingQuality>access</reformattingQuality>
    </physicalDescription>
    <abstract>In this paper, we develop and analyze a malaria model with seasonality of mosquito life-history traits: periodic-mosquitoes per capita birth rate, -mosquitoes death rate, -probability of mosquito to human disease transmission, -probability of human to mosquito disease transmission, and -mosquitoes biting rate. All these parameters are assumed to be time dependent leading to a nonautonomous differential equation system. We provide a global analysis of the model depending on two threshold parameters R0 and R over bar 0&lt;1 (with R0 &lt;= R over bar 0). When R0&lt;1, then the disease-free stationary state is locally asymptotically stable. In the presence of the human disease-induced mortality, the global stability of the disease-free stationary state is guarantied when R over bar 0&lt;1. On the contrary, if R0&gt;1, the disease persists in the host population in the long term and the model admits at least one positive periodic solution. Moreover, by a numerical simulation, we show that a sub-critical (backward) bifurcation is possible at R0=1. Finally, the simulation results are in accordance with the seasonal variation of the reported cases of a malaria-epidemic region in Mpumalanga province in South Africa.</abstract>
    <targetAudience authority="marctarget">specialized</targetAudience>
    <subject>
      <topic>basic reproduction number</topic>
      <topic>global stability</topic>
      <topic>periodic solution</topic>
      <topic>seasonal</topic>
      <topic>pattern</topic>
      <topic>uniform persistence</topic>
    </subject>
    <classification authority="local">020</classification>
    <relatedItem type="host">
      <titleInfo>
        <title>Studies in Applied Mathematics</title>
      </titleInfo>
      <part>
        <detail type="volume">
          <number>[Early Access]</number>
        </detail>
        <extent unit="pages">
          <list> [23 p.]</list>
        </extent>
      </part>
      <originInfo>
        <dateIssued>2019</dateIssued>
      </originInfo>
      <identifier type="issn">0022-2526</identifier>
    </relatedItem>
    <identifier type="uri">https://www.documentation.ird.fr/hor/fdi:010077771</identifier>
    <identifier type="doi">10.1111/sapm.12296</identifier>
    <identifier type="issn">0022-2526</identifier>
    <location>
      <shelfLocator>[F B010077771]</shelfLocator>
      <url usage="primary display" access="object in context">https://www.documentation.ird.fr/hor/fdi:010077771</url>
      <url access="row object">https://www.documentation.ird.fr/intranet/publi/2020/01/010077771.pdf</url>
    </location>
    <accessCondition type="restriction access" displayLabel="Accès réservé">Accès réservé (Intranet de l'IRD)</accessCondition>
    <recordInfo>
      <recordContentSource>IRD - Base Horizon / Pleins textes</recordContentSource>
      <recordCreationDate encoding="w3cdtf">2020-02-05</recordCreationDate>
      <recordChangeDate encoding="w3cdtf">2025-02-24</recordChangeDate>
      <recordIdentifier>fdi:010077771</recordIdentifier>
      <languageOfCataloging>
        <languageTerm authority="iso639-2b">fre</languageTerm>
      </languageOfCataloging>
    </recordInfo>
  </mods>
</modsCollection>
