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

页码：2960 / 2980

页数：21

共 50 条

[1] Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment
Sun, Xueying
Cui, Renhao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 490 (01)
[2] A reaction-diffusion SIS epidemic model with saturated incidence rate and logistic source
Huo, Xin
Cui, Renhao
APPLICABLE ANALYSIS, 2022, 101 (13) : 4492 - 4511
[3] Asymptotic profiles of a diffusive SIRS epidemic model with standard incidence mechanism and a logistic source
Pan, Yifei
Zhu, Siyao
Wang, Jinliang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
[4] Qualitative analysis on a diffusive SIRS epidemic model with standard incidence infection mechanism
Han, Shuyu
Lei, Chengxia
Zhang, Xiaoyan
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (06):
[5] Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate
Wang, Yan'e
Wang, Zhiguo
Lei, Chengxia
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (05) : 3885 - 3913
[6] A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment
Gao, Daozhou
Lei, Chengxia
Peng, Rui
Zhang, Benben
NONLINEARITY, 2024, 37 (02)
[7] Qualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanism
Liu, Chuanxin
Cui, Renhao
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 62
[8] Analysis on a Diffusive SI Epidemic Model with Logistic Source and Saturation Infection Mechanism
Dong, Lingmin
Li, Bo
Zhang, Guanghui
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (03) : 1111 - 1140
[9] Asymptotic profiles of a diffusive SIRS epidemic model with standard incidence mechanism and a logistic source
Yifei Pan
Siyao Zhu
Jinliang Wang
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[10] Analysis on a diffusive SIS epidemic model with logistic source
Li, Bo
Li, Huicong
Tong, Yachun
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (04):

← 1 2 3 4 5 →