Comparison of Different Control Strategies with Optimal Control of Immunotherapeutic Treatment for HIV Infections

Abstract

The dynamics of CD4$^+$T Cells and infected virus particles are described by a system of nonlinear ordinary differential equations and that mathematical model describes the behaviour of states for HIV infections in presence of immune boosting nutrition and antiretroviral drugs. In this study, the constant control strategies are introduced for comparison of optimal control strategy to minimize the treatment cost of HIV infections. The aim of this paper is to find the optimal immunotherapeutic treatment and compare to various treatment strategy of HIV infections.