Full Length Research Paper

Presentation of a fast solution for solving HIV-infection dynamics and chemotherapy optimization based on fuzzy: AVK method

H. Ghiasi Zadeh¹ and H. Chahkandi Nejad²*

¹Islamic Azad University, Birjand Branch, Birjand, Iran.

²Department of Electrical Engineering, Islamic Azad University, Birjand Branch, Birjand, Iran.

Accepted 23 November, 2022

Abstract

The issue of including the most optimal amount of medicine consumption in the program of illness control program is important in the control of HIV because of its high cost and high risk of side effects (poisoning), so applying a mathematical model and modern technique are necessary in solving optimal control problem for prescribing optimal amount. In this paper two ordinary differential equations systems which models interaction between HIV viruses and human body immune system is used. In addition, A. V. Kamyad (AVK) discretization method is introduced and is used to solve the mathematical models. The results are then extended to the other domain points of the mathematical model by a fuzzy inference estimator.

Key words: A. V. Kamyad (AVK) method, fuzzy approximator, optimal control, HIV-infection dynamics.