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Mathematical analysis for an age-space structured HIV model with latency

Author

Listed:
  • Zhang, Lidong
  • Wang, Jinliang
  • Zhang, Ran

Abstract

This paper aims to study an HIV model with age structure and latently in a spatially homogeneous environment. By applying the fixed point theorem, we obtain the existence of the global solution and the global attractor for the model. We also identify the explicit formula of the basic reproduction number by the mean of the Laplace transformation, and confirm that this number predicts whether the infection occurs or not. Through analyzing the root distribution of the characteristic equation, the local stability of the equilibrium is obtained. By appealing to the appropriate Lyapunov functionals, we further study the global stability of the equilibrium. Numerical simulations also validate our theoretical results.

Suggested Citation

  • Zhang, Lidong & Wang, Jinliang & Zhang, Ran, 2024. "Mathematical analysis for an age-space structured HIV model with latency," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 595-617.
    • Handle: RePEc:eee:matcom:v:220:y:2024:i:c:p:595-617
    DOI: 10.1016/j.matcom.2024.02.017
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    References listed on IDEAS

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    1. Wu, Peng & Zhang, Ran & Din, Anwarud, 2023. "Mathematical analysis of an age-since infection and diffusion HIV/AIDS model with treatment adherence and Dirichlet boundary condition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 1-27.
    2. Lin, Jiazhe & Xu, Rui & Tian, Xiaohong, 2017. "Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 516-530.
    3. 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.
    4. 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.
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