一类具有 Dirichlet 边界条件的年龄-空间结构HIV/AIDS传染病模型的动力学分析

Abstract

Abstract:

In order to explore the impact of human movement, infection age, and a hostile boundary environment on the HIV/AIDS spatiotemporal transmission dynamics, we construct an age-space structure model with homogeneous Dirichlet boundary condition. Applying the method of characteristics, we transform the model into a system of a reaction-diffusion equation and an integral equation. We derive the basic reproduction ratio $R_0$ and investigate the threshold dynamics in terms of $R_0$. Out theoretical results show that, under appropriate conditions, the disease can be eliminated when $R_0<1$ and the infection is uniformly persistent among the population when $R_0>1$. We verify the theoretical result by numerical simulations in a two-dimensional spatial domain.

Key words: HIV/AIDS model, Dirichlet boundary condition, Age-space structured, Basic reproduction ratio, Threshold dynamics, Uniform persistence

CLC Number:

O175.1

Wu Peng,Wang Xiunan,He Zerong. Dynamical Analysis of an Age-Space Structured HIV/AIDS Model with Homogeneous Dirichlet Boundary Condition[J].Acta mathematica scientia,Series A, 2023, 43(3): 970-984.

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Dynamical Analysis of an Age-Space Structured HIV/AIDS Model with Homogeneous Dirichlet Boundary Condition

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