Stability Analysis of Endemic Equilibrium of an HIV-1 In Vivo Dynamics in the Presence of Chemotherapy

Mathematical modeling has and continuously provides insight on the dynamics of an infectious disease such as HIV-1, Human Papilloma Virus, and Tuberculosis etc. In this paper we develop an HIV-1 mathematical model having six parameters (H,H^*, I,I^*, U,U^*). Effects of chemotherapy, time delay and immune response on Endemic Equilibrium Point (EEP) is studied both analytically and numerically. The analytic results show that the EEP is stale whenever delay exceeds ten days, Chemotherapy below 72.3% efficacy and CD8+T-cells above 500. The analytic results were confirmed using Matlab dde23 solver.