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Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells

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  • Kumar, Manoj
  • Abbas, Syed

Abstract

This study focuses on an age-structured population model which describes the in host dynamics of HIV/AIDS. This model also considers the proportion of latently infected CD4+ T cells by HIV. After the formulation of the model, we derive steady-state solutions of the model. By constructing an appropriate Lyapunov function, we check the stability of infection-free steady-state. We show that if reproduction number R0 is less than 1, then the infection-free equilibrium is stable. We also study the role of anti-retroviral therapy to slow down the process of HIV in the human body. We consider our model with anti-retroviral therapy and again check the global stability of the infection-free steady state for better comparison. We also solve our model numerically to study the primary spread of HIV virus.

Suggested Citation

  • Kumar, Manoj & Abbas, Syed, 2022. "Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 237-252.
    • Handle: RePEc:eee:matcom:v:198:y:2022:i:c:p:237-252
    DOI: 10.1016/j.matcom.2022.02.035
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    References listed on IDEAS

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    1. Goyal, Manish & Baskonus, Haci Mehmet & Prakash, Amit, 2020. "Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Xu, Jinhu & Geng, Yan & Zhou, Yicang, 2017. "Global dynamics for an age-structured HIV virus infection model with cellular infection and antiretroviral therapy," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 62-83.
    3. Abdel-Aty, Abdel-Haleem & Khater, Mostafa M.A. & Dutta, Hemen & Bouslimi, Jamel & Omri, M., 2020. "Computational solutions of the HIV-1 infection of CD4+T-cells fractional mathematical model that causes acquired immunodeficiency syndrome (AIDS) with the effect of antiviral drug therapy," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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