Stability in a Multi-Stage HIV Infection Model with General Incidence Rate

Abstract

In this paper, we propose a multi-stage HIV infection model with general incidence rate to describe the influence of raltegravir intensification on viral dynamics. The basic reproduction number $R_0$ is established. The infection-free equilibrium $E_0$ is locally asymptotically stable if $R_0<1.$ The infection equilibrium $E^∗$ is locally asymptotically stable if $R^0 > 1.$