An Age-Structured Within-Host Model for Multistrain Malaria Infections

نویسندگان

  • Ramsès Djidjou Demasse
  • Arnaud Ducrot
چکیده

In this paper we propose an age-structured malaria within-host model taking into account multi-strains interaction. We provide a global analysis of the model depending upon some threshold T0. When T0 ≤ 1, then the disease free equilibrium is globally asymptotically stable and the parasites are cleared. On the contrary if T0 > 1, the model exhibits the competition exclusion principle. Roughly speaking, only the strongest strain, according to a suitable order, survives while the other strains go to extinct. Under some additional parameter conditions we prove that the endemic equilibrium corresponding to the strongest strain is globally asymptotically stable.

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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 73  شماره 

صفحات  -

تاریخ انتشار 2013