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
相关论文
共 50 条
  • [21] Bifurcation analysis of a discrete SIRS epidemic model with standard incidence rate
    Hu, Zengyun
    Chang, Linlin
    Teng, Zhidong
    Chen, Xi
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [22] ANALYSIS ON A DIFFUSIVE SEI EPIDEMIC MODEL WITH/WITHOUT IMMIGRATION OF INFECTED HOSTS
    Lei, Chengxia
    Shen, Yi
    Zhang, Guanghui
    Zhang, Yuxiang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (12): : 4259 - 4292
  • [23] THEORETICAL ANALYSIS ON A DIFFUSIVE SIR EPIDEMIC MODEL WITH NONLINEAR INCIDENCE IN A HETEROGENEOUS ENVIRONMENT
    Lei, Chengxia
    Li, Fujun
    Liu, Jiang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (10): : 4499 - 4517
  • [24] The threshold of a stochastic SIRS epidemic model with saturated incidence
    Zhao, Yanan
    Jiang, Daqing
    APPLIED MATHEMATICS LETTERS, 2014, 34 : 90 - 93
  • [25] Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate
    N'zi, Modeste
    Kanga, Gerard
    RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2016, 24 (01) : 65 - 77
  • [26] Global attractivity of a discrete SIRS epidemic model with standard incidence rate
    Wang, Lei
    Teng, Zhidong
    Jiang, Haijun
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (05) : 601 - 619
  • [27] Stability and Bifurcation Analysis of a Reaction-Diffusion SIRS Epidemic Model with the General Saturated Incidence Rate
    She, Gaoyang
    Yi, Fengqi
    JOURNAL OF NONLINEAR SCIENCE, 2024, 34 (06)
  • [28] Analysis on a diffusive SIS epidemic model with logistic source
    Bo Li
    Huicong Li
    Yachun Tong
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [29] Analysis of a spatial epidemic model with saturated incidence rate
    Liu, Pan-Ping
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 426 - 432
  • [30] Qualitative analysis of a diffusive SIR epidemic model with saturated incidence rate in a heterogeneous environment
    Avila-Vales, Eric
    Garcia-Almeida, Gerardo E.
    Perez, Angel G. C.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (01)
12345