Name
Title | ||
|---|---|---|
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 R-0, the basic reproduction number, satisfies R-0 <= 1, then the disease-free equilibrium is globally asymptotically stable. On the contrary if R-0 > 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. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/050643271 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
nonlinear dynamical systems,intrahost models,global stability,Plasmodium falciparum,competitive exclusion principle | Combinatorics,Mathematical economics,Orthant,Mathematical analysis,Malaria,Nonlinear dynamical systems,Basic reproduction number,Mathematics,Competitive exclusion principle | Journal |
Volume | Issue | ISSN |
67 | 1 | 0036-1399 |
Citations | PageRank | References |
6 | 0.97 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Iggidr | 1 | 42 | 10.27 |
| Jean-claude Kamgang | 2 | 7 | 3.36 |
| G. Sallet | 3 | 47 | 14.69 |
| Jean-Jules Tewa | 4 | 19 | 4.81 |