Qualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanism

被引：20

作者：

Liu, Chuanxin ^{[1
,2
]}

Cui, Renhao ^{[1
]}

机构：

[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China

[2] Harbin Normal Univ, Sch Math Scien, Harbin 150025, Heilongjiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 62卷

关键词：

SIRS epidemic model; Saturated incidence rate; Spatial heterogeneity; Endemic equilibrium; Asymptotic profile; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; ENDEMIC EQUILIBRIUM; ELLIPTIC-EQUATIONS; GLOBAL STABILITY; DYNAMICS; DISEASE; TRANSMISSION; PERSISTENCE; RISK;

D O I：

10.1016/j.nonrwa.2021.103364

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with an SIRS reaction-diffusion epidemic model with saturation infection mechanism. Based on the uniform boundedness of the parabolic system, we investigate the extinction and persistence of the infectious disease in terms of the basic reproduction number. To better investigate the effects of infection mechanism and individual diffusion, we further analyze the asymptotic profiles of the endemic equilibrium for small or large motility rate and large saturation rate. In particular it is shown that large saturation may cause the elimination of disease. Our study may provide some significant useful insight on disease control and prevention. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：22

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