Optimal Control of an HIV Model


H. R. Erfanian - Department of Mathematics & Statistics, University of Science and Culture, Tehran, Iran
M. H. Noori Skandari - Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran


We consider an HIV model, based on optimal control, for identifying the best treatment strategy in order to maximize the healthy cells by using chemotherapies with minimum side effects. In this paper, a new approach is introduced which transform the constraints of problem to the integral constraints. By an approximation, we obtain a finite dimensional linear programming problem which give us an approximate solution for original problem.