Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
Jan 21, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: The optimal control policy for an HIV-1 infection model where healthy cells follow a simple logistic growth is formulated and solved as an optimal control problem. Numerical simulations are performed to compare several cases, representing a treatment by Interleukin2 alone, classical treatment by multitherapy drugs alone, then both treatments at the same time. Objective functionals aim to 1/ minimize infected cells quantity, 2/ minimize free virus particles number and 3/ maximize healthy cells density in the blood.