A reaction-diffusion SIS epidemic model with saturated incidence rate and logistic source

被引：7

作者：

Huo, Xin ^{[1
,2
]}

Cui, Renhao ^{[1
,2
]}

机构：

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

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

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 13期

关键词：

SIS epidemic model with logistic source; saturated incidence rate; spatial heterogeneity; endemic equilibrium; asymptotic profile; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; SPONTANEOUS INFECTION; QUALITATIVE-ANALYSIS; ENDEMIC EQUILIBRIUM; DYNAMICS; RISK;

D O I：

10.1080/00036811.2020.1859495

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reaction-diffusion SIS epidemic model with saturated incidence rate and logistic source for the susceptible individuals is considered. We establish the uniform bounds of parabolic system and investigate the extinction and persistence of infectious diseases in terms of the basic reproduction number. We further analyze the asymptotic profiles of the endemic equilibrium for small and large movement rates and large saturate rate. In particular, it is shown that large saturation may cause the elimination of disease and the logistic source can enhance persistence of infectious disease.

引用

页码：4492 / 4511

页数：20

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