SEMI-ANALYTICAL APPROACH FOR SOLVING A MODEL FOR HIV INFECTION OF CD4+ T-CELLS

SEMI-ANALYTICAL APPROACH FOR SOLVING A MODEL FOR HIV INFECTION OF CD4+ T-CELLS

S. Deniz

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Abstract

In this work, a mathematical model for the human immunodeficiency virus (HIV) infection of CD4+ T-cells by using the optimal perturbation iteration method (OPIM) is an- alyzed. Optimization and classical perturbation techniques are combined to build the new proposed method. The iteration algorithm for systems of nonlinear differential equations for this optimal perturbation iteration technique is constructed for the first time. A test problem has been solved and some plots are given to show the reliability and efficiency of the pro- posed method. Obtained results exhibit the effectiveness and accuracy of the semi-analytical technique.

Keywords

HIV infection model, optimal perturbation iteration method, semi-analytical solu- tion.