A new optimal control technique for solution of HIV infection model

Malihe Najafi,Hadi Basirzadeh

doi:10.5269/bspm.43220

Abstract

In this paper, by means of the optimal control technique and power series technique,we introduce a new method, namely, the optimal control power series technique, bywhich one can obtain numerical solutions of the HIV infection model of CD4+T cells.The obtained approximate solution has shown good agreement with the experimentalresults and previous simulations using other methods.

Highlights

We introduce a new method based on optimal control technique and power series
We describe the optimal control power series technique in four steps
Our goal is to increase the number of the uninfected CD4+T cells and minimizing the cost of treatment

Summary

Introduction

Khalid et al [15] developed the perturbation iteration algorithm and successfully applied it to solve a model for HIV infection of CD4+T cells. See [16,17,18,19,20]. We obtain the approximate solutions of model (1) by developing the optimal control technique [21,22,23,24] and power series technique [25,26,27]. This paper is prepared as follows: In Section 2, the new numerical method to be used is presented.

Objectives

Methods

Conclusion