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Mathematical Modeling and Numerical Analysis of HIV-1 Infection with Long-Lived Infected Cells During Combination Therapy and Humoral Immunity

In: Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics

Author

Listed:
  • Zakaria Hajhouji

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

  • Majda El Younoussi

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

  • Khalid Hattaf

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
    Centre Régional des Métiers de l’Education et de la Formation (CRMEF), Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM))

  • Noura Yousfi

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

Abstract

In this work, we develop a mathematical model formulated by partial differential equations (PDEs) describing the HIV-1 dynamics with four discrete delays, general incidence rate, humoral immune response in the presence of therapy, and two types of infected cells. A numerical method is proposed to discretize the developed PDE model. The mathematical and numerical analysis of the HIV-1 infection model is rigorously investigated. Finally, numerical simulations are presented to illustrate our results.

Suggested Citation

  • Zakaria Hajhouji & Majda El Younoussi & Khalid Hattaf & Noura Yousfi, 2023. "Mathematical Modeling and Numerical Analysis of HIV-1 Infection with Long-Lived Infected Cells During Combination Therapy and Humoral Immunity," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics, pages 99-123, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-33050-6_6
    DOI: 10.1007/978-3-031-33050-6_6
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