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Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
Abstract : 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 the disease-free equilibrium is globally asymptotically stable. On the contrary if 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.
Cited literature [61 references]
https://hal.inria.fr/inria-00552014
Contributor : Abderrahman Iggidr <>
Submitted on : Wednesday, January 5, 2011 - 10:57:09 AM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM
Long-term archiving on: : Wednesday, April 6, 2011 - 2:45:28 AM
Contributor : Abderrahman Iggidr <>
Submitted on : Wednesday, January 5, 2011 - 10:57:09 AM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM
Long-term archiving on: : Wednesday, April 6, 2011 - 2:45:28 AM
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