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

• Autores: Ramses Didjou Demasse, Arnaud Ducrot
• Localización: Siam journal on applied mathematics, ISSN 0036-1399, Vol. 73, Nº 1, 2013, págs. 572-593
• Idioma: inglés
• DOI: 10.1137/120890351
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• Resumen

  • In this paper we propose an age-structured malaria within-host model taking into account multistrains interaction. We provide a global analysis of the model depending upon some threshold $\mathcal T_0$. When $\mathcal{T}_0\leq1$, then the disease-free equilibrium is globally asymptotically stable and the parasites are cleared. On the contrary, if $\mathcal{T}_0>1$, 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 extinction. Under some additional parameter conditions we prove that the endemic equilibrium corresponding to the strongest strain is globally asymptotically stable