Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle

Details Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle

2011-01-05

arxiv.org/abs/1101.0922v1

SIAM Journal on Applied Mathematics 67, 1 (2006) 260-278

Mathematics

Dynamical Systems

Scientific paper

10.1137/050643271

In this paper we propose a malaria within-host model with k classes of age for the parasitized red blood cells and n strains for the parasite. We provide a global analysis for this model. A competitive exclusion principle holds. If R0, the basic reproduction number, satisfies R0 1, then generically there is a unique endemic equilibrium which corresponds to the endemic stabilization of the most virulent parasite strain and to the extinction of all the other parasites strains. We prove that this equilibrium is globally asymptotically stable on the positive orthant if a mild sufficient condition is satisfied.

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