GLOBAL BEHAVIOR OF DELAY DIFFERENTIAL EQUATIONS MODEL OF HIV INFECTION WITH APOPTOSIS

摘要

In this paper, a class of delay differential equations model of HIV infection dynamics with nonlinear transmissions and apoptosis induced by infected cells is proposed, and then the global properties of the model are considered. It shows that the infection-free equilibrium of the model is globally asymptotically stable if the basic reproduction number R_0 < 1, and globally attractive if R_0 = 1. The positive equilibrium of the model is locally asymptotically stable if R_0 > 1. Furthermore, it also shows that the model is permanent, and some explicit expressions for the eventual lower bounds of positive solutions of the model are given.