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

Lidong Zhang, Jinliang Wang and Ran Zhang

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 220, issue C, 595-617

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.

Keywords: Age-space structured; HIV model; Lyapunov functional; Global stability (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:220:y:2024:i:c:p:595-617

DOI: 10.1016/j.matcom.2024.02.017

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