Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of C D 4 + T Cells

The main goal of this study was to develop a theoretical short- and long-term optimal control treatment of HIV infection of C D 4 + T cells. The aim of the mathematical model used herein is to make the free HIV virus particles in the blood decrease, while administering a treatment that is less toxic to patients. Pontryagin’s classicalcontroltheoryisappliedtoamathematicalmodelofHIVinfectionof C D 4 + T cells characterized by a system of nonlinear differential equations with the following unknown functions: the concentration of susceptible C D 4 + T cells, C D 4 + T cells infected by the HIV viruses and free HIV virus particles in the blood.

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