Mathematical analysis of a general class of ordinary differential equations coming from within-hosts models of malaria with immune effectors

A complete analysis of a general within-host models of malaria is done. This model generalizes the models in epidemiological literature. We propose another equation for immune effectors reaction. The global stability of disease free equilibrium is obtained when the reproduction number R0<1R0<1. When R0>1R0>1, at least one endemic equilibrium exists. The local and global asymptotic stability is investigated. Numerical simulations are done to illustrate the influence of immune effectors reaction.