<?xml version="1.0"?>
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits</dc:title>
  <dc:creator>/Djidjou-Demasse, Rams&#xE8;s</dc:creator>
  <dc:creator>Abiodun, G. J.</dc:creator>
  <dc:creator>Adeola, A. M.</dc:creator>
  <dc:creator>Botai, J. O.</dc:creator>
  <dc:subject>basic reproduction number</dc:subject>
  <dc:subject>global stability</dc:subject>
  <dc:subject>periodic solution</dc:subject>
  <dc:subject>seasonal</dc:subject>
  <dc:subject>pattern</dc:subject>
  <dc:subject>uniform persistence</dc:subject>
  <dc:description>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.</dc:description>
  <dc:date>2019</dc:date>
  <dc:type>text</dc:type>
  <dc:identifier>https://www.documentation.ird.fr/hor/fdi:010077771</dc:identifier>
  <dc:identifier>fdi:010077771</dc:identifier>
  <dc:identifier>Djidjou-Demasse Rams&#xE8;s, Abiodun G. J., Adeola A. M., Botai J. O.. Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits. 2019, [Early Access],  [23 p.]</dc:identifier>
  <dc:language>EN</dc:language>
</oai_dc:dc>
