Effect of Macrophages and Latent Reservoirs on the Dynamics of HTLV-I and HIV-1 Coinfection

A. M. Elaiw (), N. H. AlShamrani, E. Dahy, A. A. Abdellatif and Aeshah A. Raezah
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A. M. Elaiw: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
N. H. AlShamrani: Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
E. Dahy: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut 71511, Egypt
A. A. Abdellatif: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut 71511, Egypt
Aeshah A. Raezah: Department of Mathematics, Faculty of Science, King Khalid University, Abha 62529, Saudi Arabia

Mathematics, 2023, vol. 11, issue 3, 1-26

Abstract: Human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type I (HTLV-I) are two retroviruses that have a similar fashion of transmission via sharp objects contaminated by viruses, transplant surgery, transfusion, and sexual relations. Simultaneous infections with HTLV-I and HIV-1 usually occur in areas where both viruses have become endemic. CD 4 + T cells are the main targets of HTLV-I, while HIV-1 can infect CD 4 + T cells and macrophages. It is the aim of this study to develop a model of HTLV-I and HIV-1 coinfection that describes the interactions of nine compartments: susceptible cells of both CD 4 + T cells and macrophages, HIV-1-infected cells that are latent/active in both CD 4 + T cells and macrophages, HTLV-I-infected CD 4 + T cells that are latent/active, and free HIV-1 particles. The well-posedness, existence of equilibria, and global stability analysis of our model are investigated. The Lyapunov function and LaSalle’s invariance principle were used to study the global asymptotic stability of all equilibria. The theoretically predicted outcomes were verified by utilizing numerical simulations. The effect of including the macrophages and latent reservoirs in the HTLV-I and HIV-1 coinfection model is discussed. We show that the presence of macrophages makes a coinfection model more realistic when the case of the coexistence of HIV-1 and HTLV-I is established. Moreover, we have shown that neglecting the latent reservoirs in HTLV-I and HIV-1 coinfection modeling will lead to the design of an overflow of anti-HIV-1 drugs.

Keywords: HTLV-I and HIV-1 coinfection; CD4+T cells; macrophages; global stability; Lyapunov function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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