Optimal Control Design of the In-vivo HIV Fractional Model

Zainab A.  Lazima; Sanaa L.  Khalaf

doi:10.24996/ijs.2022.63.9.20

Authors

Zainab A. Lazima Department of Mathematics, College of Science, University of Basrah , Basrah, Iraq
Sanaa L. Khalaf Department of Mathematics, College of Science, University of Basrah , Basrah, Iraq https://orcid.org/0000-0002-8126-2760

DOI:

https://doi.org/10.24996/ijs.2022.63.9.20

Keywords:

Fractional optimal control, HIV, Pontryagin’s maximum principle, Fractional Adams-Bashforth method

Abstract

HIV is a leading cause of death, in particular, in Sub-Saharan Africa. In this paper, a fractional differential system in vivo deterministic models for HIV dynamics is presented and analyzed. The main roles played by different HIV treatment methods are investigated using fractional optimal control theory. We use three treatment regimens as system control variables to determine the best strategies for controlling the infection. The optimality system is numerically solved using the fractional Adams-Bashforth technique.