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

Manoj Kumar and Syed Abbas

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 198, issue C, 237-252

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.

Keywords: Age-structured population model; HIV/AIDS model; Lyapunov function; Antiretroviral treatment (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:198:y:2022:i:c:p:237-252

DOI: 10.1016/j.matcom.2022.02.035

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