摘要：We establish some properties of a within host mathematical model of malaria proposed by Recker et al . [M. Recker et al., Transient cross-reactive immune responses can orchestrate antigenic variation in malaria , Lett. Nature 429 (2004), pp. 555–558; M. Recker and S. Gupta, Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria , Bull. Math. Biol. 68 (2006), pp. 821–835.], which includes the role of the immune system during the infection. The model accounts for the antigenic variation exhibited by the malaria parasite ( Plasmodium falciparum ). We show that the model can exhibit a wide variety of dynamical behaviours. 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.
