Mathematical analysis of HIV/HTLV-I co-infection model with saturated incidence rate

Authors

A. A. Abdellatif, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow
E. Dahy, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow
A. M. Zahran, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow

Abstract

Direct contact with specific contaminated body fluids is how both the human immunodeficiency virus (HIV) and the human T-lymphotropic virus type I (HTLV-I) are transmitted from one person to another. Therefore, the two viruses can co-infect same person. In the literature all the HIV/HTLV-I co-infection models assume that the infection rate is given by bilinear incidence. However, for high concentration of pathogens, the bilinear incidence is not suitable. Therefore, this study will focus on the dynamical behavior of an HIV/HTLV-I co-infection model with saturated incidence. The model includes the effect of Cytotoxic T lymphocytes (CTL) immune response. Through the non-negativity and boundedness of the solutions, we demonstrated that our proposed model is biologically acceptable. We calculate the threshold parameters which determine when the equibrium point exists and when it is globally asymptotically stable. Utilizing the Lyapunov function and Lyapunov-LaSalle asymptotic stability, we demonstrate the global asymptotic stability of all equilibrium. We performed numerical simulations to confirm the analytical solutions. The effect of saturation on The dynamics of HIV/HTLV-I co-infection are discussed.

Recommended Citation

A. Abdellatif, A.; Dahy, E.; and M. Zahran, A. (2023) "Mathematical analysis of HIV/HTLV-I co-infection model with saturated incidence rate," Information Sciences Letters: Vol. 12 : Iss. 9 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss9/8