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      <ref-type name="Journal Article">17</ref-type>
      <work-type>ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES</work-type>
      <contributors>
        <authors>
          <author>
            <style face="bold" font="default" size="100%">Djidjou-Demasse, Ramsès</style>
          </author>
          <author>
            <style face="normal" font="default" size="100%">Abiodun, G. J.</style>
          </author>
          <author>
            <style face="normal" font="default" size="100%">Adeola, A. M.</style>
          </author>
          <author>
            <style face="normal" font="default" size="100%">Botai, J. O.</style>
          </author>
        </authors>
      </contributors>
      <titles>
        <title>Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits</title>
        <secondary-title>Studies in Applied Mathematics</secondary-title>
      </titles>
      <pages>[23 p.]</pages>
      <keywords>
        <keyword>basic reproduction number</keyword>
        <keyword>global stability</keyword>
        <keyword>periodic solution</keyword>
        <keyword>seasonal</keyword>
        <keyword>pattern</keyword>
        <keyword>uniform persistence</keyword>
      </keywords>
      <dates>
        <year>2019</year>
      </dates>
      <call-num>fdi:010077771</call-num>
      <language>ENG</language>
      <periodical>
        <full-title>Studies in Applied Mathematics</full-title>
      </periodical>
      <isbn>0022-2526</isbn>
      <accession-num>ISI:000504698600001</accession-num>
      <electronic-resource-num>10.1111/sapm.12296</electronic-resource-num>
      <urls>
        <related-urls>
          <url>https://www.documentation.ird.fr/hor/fdi:010077771</url>
        </related-urls>
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          <url>https://www.documentation.ird.fr/intranet/publi/2020/01/010077771.pdf</url>
        </pdf-urls>
      </urls>
      <volume>[Early Access]</volume>
      <remote-database-provider>Horizon (IRD)</remote-database-provider>
      <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>
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      <custom1>UR224</custom1>
      <custom7>Afrique du Sud</custom7>
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