ASYMPTOTIC PROFILES OF THE STEADY STATE FOR A DIFFUSIVE SIS EPIDEMIC MODEL WITH DIRICHLET BOUNDARY CONDITIONS

被引：0

作者：

Deng, Keng ^{[1
]}

机构：

[1] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 01期

关键词：

Diffusive SIS epidemic model; spatial heterogeneity; Dirichlet bound-ary conditions; endemic equilibrium; asymptotic profile;

D O I：

10.3934/cpaa.2023129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a spatial SIS reaction-diffusion model with Dirichlet boundary conditions. We study the asymptotic profiles of the endemic equilibrium for small and large diffusion rates of the susceptible individuals and the infected individuals. Compared to a similar model with Neumann boundary conditions, our results indicate that the hostile exterior environment makes a distinct impact on the spread of infectious diseases.

引用

页码：80 / 87

页数：8

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