A Stability analysis for a mathematical model for the determination of optimum drug for chemotherapy of HIV

Abstract

We propose a system of ordinary differential equations modeling the interaction of HIV virus and the immune system of the human body. We propose an optimal amount of medicine for the chemotherapy for patients with human immunodeficiency virus (HIV) and we show that the endemic equilibrium is asymptotically stable.

Keywords: Optimal control, HIV – infection dynamics, AVK method, therapy therapeutic period, asymptotically stable.