Global Stability of a HIV-1 Model with General Nonlinear Incidence and Delays

Abstract

A HIV-1 model with two distributed intracellular delays and general incidence function is studied. Conditions are given under which the system exhibits the threshold behavior: the disease-free equilibrium $E_0$ is globally asymptotically stable if $R_0\le 1$; if $R_0>1$, then the unique endemic equilibrium $E_1$ is globally asymptotically stable. Finally, it is shown that the given conditions are satisfied by several common forms of the incidence functions.