A Nonlinear Deterministic Model For Hivinfection Dynamics With Optimal Control Strategy Using Power Series Method
A non-linear deterministic model representing the interaction of a chronic retrovirus HIV and immune system of the human body is presented. The Optimal control of this model is explored using a power series method. We obtain the discritized control function 0 u(t) 1 which maximizes the total count of CD+ 4 T cells and minimizes the costs of the chemotherapy of HIV. Moreover, the numerical results are obtained using an iterative method by Runge-Kutta fourth order scheme.
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