Mathematical Analysis of an HIV model with Adaptive Immune Response, Two Saturated Rates and Therapy |
Othamne Baiz, Bouchera Lahmidani, Youssef Tabit, Driss El Moutawakil
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
January 27, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The dynamics of a model describing the human immunodeficiency virus (HIV) infection with cytotoxic T-lymphocyte (CTL), antibodies and two saturated rates is investigated and studied in this paper. This model includes two treatments that represent the efficiency of drug treatment in inhibiting viral production and preventing new infections. Existence, positivity, boundedness of solutions and local stability of the disease free steady state and the infection steady states are given. Existence of the optimal control pair is established and the Pontryagin’s maximum principle is used to find an ...