2007/07/30 by Patrick De Leenheer, De Leenheer, Patrick, Sergei S. Pilyugin +1
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Cell Behavior (q-bio.CB) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.0707.4497
openalex publication_date 2007/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish some properties of a within host mathematical model of malaria proposed by Recker et al which includes the role of the immune system during the infection. The model accounts for the antigenic variation exhibited by the malaria parasite (P. falciparum). We show that the model can exhibit a wide variety of dynamical behaviors. We provide criteria for global stability, competitive exclusion, and persistence. We also demonstrate that the disease equilibrium can be destabilized by non-symmetric cross-reactive responses.