Modeling and analysis of a within-host HIV/HTLV-I co-infection

The main target of both human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type I (HTLV-I) is the CD[Formula: see text]T cell which is considered the key player in the immune system. Moreover, HIV-1 has another target that is the macrophages. The present paper aims to formulate and develop a mathematical model to analyze the interaction of two viruses, HIV-1 and HTLV-I with the immune system. We determine a bounded domain for the concentrations of the model’s compartments. We discuss the dynamical behavior of the model and analyze the existence and stability of the system’s steady states. The global asymptotic stability of all steady states is proven by utilizing the Lyapunov method. We also demonstrate the dynamical behavior of the system numerically. The significant impact of macrophages on the HTLV-I/HIV-1 co-infection dynamics is discussed. Our developed model will contribute to the understanding of HTLV-I/HIV-1 co-infection dynamics and help to choose different treatment strategies against HIV-1 and HTLV-I.

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Dynamics of HIV-1/HTLV-I Co-Infection Model with Humoral Immunity and Cellular Infection

AlShamrani

Alshaikh

Ełaiw

et al. 2022

Viruses

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Human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type I (HTLV-I) are two retroviruses which infect the same target, CD4+ T cells. This type of cell is considered the main component of the immune system. Since both viruses have the same means of transmission between individuals, HIV-1-infected patients are more exposed to the chance of co-infection with HTLV-I, and vice versa, compared to the general population. The mathematical modeling and analysis of within-host HIV-1/HTLV-I co-infection dynamics can be considered a robust tool to support biological and medical research. In this study, we have formulated and analyzed an HIV-1/HTLV-I co-infection model with humoral immunity, taking into account both latent HIV-1-infected cells and HTLV-I-infected cells. The model considers two modes of HIV-1 dissemination, virus-to-cell (V-T-C) and cell-to-cell (C-T-C). We prove the nonnegativity and boundedness of the solutions of the model. We find all steady states of the model and establish their existence conditions. We utilize Lyapunov functions and LaSalle’s invariance principle to investigate the global stability of all the steady states of the model. Numerical simulations were performed to illustrate the corresponding theoretical results. The effects of humoral immunity and C-T-C transmission on the HIV-1/HTLV-I co-infection dynamics are discussed. We have shown that humoral immunity does not play the role of clearing an HIV-1 infection but it can control HIV-1 infection. Furthermore, we note that the omission of C-T-C transmission from the HIV-1/HTLV-I co-infection model leads to an under-evaluation of the basic HIV-1 mono-infection reproductive ratio.

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Modeling and analysis of a within-host HIV/HTLV-I co-infection

Cited by 5 publications

References 56 publications

Mathematical Modeling and Hybrid Adaptive-Fuzzy Control of HIV/AIDS Infection

Mathematical Modeling and Hybrid Adaptive-Fuzzy Control of HIV/AIDS Infection

Stability of within host HTLV-I/HIV-1 co-infection in the presence of macrophages

Dynamics of HIV-1/HTLV-I Co-Infection Model with Humoral Immunity and Cellular Infection

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