Dynamics of HIV Infection Model with Therapy and Cure Rate

The aim of this work is to investigate a new mathematical model that describe HIV infection of CD4+ T-cells during therapy. A novel feature is that the both therapy and the cure rate are incorporated into the model. We prove that the infection will die out if the basic reproduction number R0 lesss than 1 while the HIV infection may become endemic if R0 greater than 1. Stability analysis of the both endemic and free steady state are also studied. To illustrate our results, numerical simulations are also presented.