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

Zakaria Hajhouji, Majda El Younoussi, Khalid Hattaf and Noura Yousfi
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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
Noura Yousfi: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick

A chapter in Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics, 2023, pp 99-123 from Springer

Abstract: 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.

Keywords: HIV-1 infection; Humoral immunity; Difference equations; Global stability; Numerical analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-33050-6_6

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DOI: 10.1007/978-3-031-33050-6_6

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