ANALYSIS ON A DIFFUSIVE SIRS EPIDEMIC MODEL WITH LOGISTIC SOURCE AND SATURATED INCIDENCE RATE

被引：5
作者：
Liu, Chuanxin [1 ,2 ]
Cui, Renhao [1 ,2 ]
机构：
[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China
[2] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 05期
基金：
中国国家自然科学基金;
关键词：
SIRS epidemic model; logistic source; saturated incidence rate; spatial heterogeneity; endemic equilibrium; asymptotic behavior; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; ENDEMIC EQUILIBRIUM; GLOBAL STABILITY; DYNAMICS; INFECTION; DISEASE; TRANSMISSION; RISK;
D O I：
10.3934/dcdsb.2022199
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides the qualitative analysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rate. We first establish the uniform boundedness of the parabolic system, and then explore the extinction/persistence of the infectious disease via the basic reproduction number. The effects of logistic source, dispersal, saturation, and spatial heterogeneity on asymptotic behaviors of the endemic equilibrium are also investigated. Our study show that the disease can not be controlled by limiting the dispersal rate and large saturation may cause the elimination of disease.
引用
收藏
页码：2960 / 2980
页数：21
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