Optimal control of two-drug therapy for a HIV model

Abstract

In this paper, we employ optimal control theory to explore the optimal two-drug therapy for a HIV model, representing by ordinary differential equations, which describes the interaction of the HIV virus and the immune system of the human body. Two controls involved in this system represent the percentage effect of the chemotherapies imposed on the virus and the immune system, respectively. The uniqueness result for the optimal controls is established. The optimality system is derived and then solved numerically by using the iterative "min-H" method.