A Nonlinear Deterministic Model For Hivinfection Dynamics With Optimal Control Strategy Using Power Series Method

Authors

  • S. Olaniyi DEPARTMENT OF PURE AND APPLIED MATHEMATICS, LADOKE AKINTOLA UNIVERSITY OF TECHNOLOGY, P. M. B. 4000, OGBOMOSO, NIGERIA.
  • B. Gbadamosi DEPARTMENT OF PURE AND APPLIED MATHEMATICS, LADOKE AKINTOLA UNIVERSITY OF TECHNOLOGY, P. M. B. 4000, OGBOMOSO, NIGERIA.
  • I. A. Olopade DEPARTMENT OF PURE AND APPLIED MATHEMATICS, LADOKE AKINTOLA UNIVERSITY OF TECHNOLOGY, P. M. B. 4000, OGBOMOSO, NIGERIA.

Abstract

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.

Downloads

Published

2021-04-08

How to Cite

Olaniyi, S., Gbadamosi, B., & Olopade, I. A. (2021). A Nonlinear Deterministic Model For Hivinfection Dynamics With Optimal Control Strategy Using Power Series Method: Array. Journal of the Nigerian Mathematical Society, 32(1-3), 87–95. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/684

Issue

Section

Articles