A spatial SIS model in heterogeneous environments with vary advective rate

被引：3
|
作者：
An, Xiaowei [1 ]
Song, Xianfa [2 ]
机构：
[1] China Peoples Police Univ, Sch Intelligence Policing, Langfang 065000, Hebei, Peoples R China
[2] Tianjin Univ, Sch Math, Dept Math, Tianjin 300072, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2021年 / 18卷 / 05期
关键词：
spatial SIS model; vary advective rate; disease-free equilibrium; endemic equilibrium; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; EPIDEMIC MODEL; REPRODUCTION NUMBERS; DIFFUSION; DYNAMICS; PERSISTENCE; BIFURCATION; RISK;
D O I：
10.3934/mbe.2021276
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when R-0 < 1, and the existence of the endemic equilibrium when R-0 > 1. Here R-0 is the basic reproduction number. We also discuss the effect of diffusion on the stability of the DFE.
引用
收藏
页码：5449 / 5477
页数：29
相关论文
共 50 条
  • [31] Global Dynamics of a Lotka-Volterra Competition-Diffusion System in Advective Heterogeneous Environments
    Tang, De
    Chen, Yuming
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2021, 20 (03): : 1232 - 1252
  • [32] RATE OF WEED SPREAD IN SPATIALLY HETEROGENEOUS ENVIRONMENTS
    BERGELSON, J
    NEWMAN, JA
    FLORESROUX, EM
    ECOLOGY, 1993, 74 (04) : 999 - 1011
  • [33] A diffusive SIS epidemic model in a heterogeneous and periodically evolving environment
    Pu, Liqiong
    Lin, Zhigui
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (04) : 3094 - 3110
  • [34] Super compact pairwise model for SIS epidemic on heterogeneous networks
    Simon, Peter L.
    Kiss, Istvan Z.
    JOURNAL OF COMPLEX NETWORKS, 2016, 4 (02) : 187 - 200
  • [35] Transmission Dynamics of an SIS Model with Age Structure on Heterogeneous Networks
    Shanshan Chen
    Michael Small
    Yizhou Tao
    Xinchu Fu
    Bulletin of Mathematical Biology, 2018, 80 : 2049 - 2087
  • [36] SIS CRISS-CROSS MODEL OF TUBERCULOSIS IN HETEROGENEOUS POPULATION
    Bodzioch, Mariusz
    Choinski, Marcin
    Forys, Urszula
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (05): : 2169 - 2188
  • [37] Transmission Dynamics of an SIS Model with Age Structure on Heterogeneous Networks
    Chen, Shanshan
    Small, Michael
    Tao, Yizhou
    Fu, Xinchu
    BULLETIN OF MATHEMATICAL BIOLOGY, 2018, 80 (08) : 2049 - 2087
  • [38] Bifurcation Analysis for a Delayed Diffusive Logistic Population Model in the Advective Heterogeneous Environment
    Chen, Shanshan
    Wei, Junjie
    Zhang, Xue
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (02) : 823 - 847
  • [39] A stochastic SIS epidemic model with saturating contact rate
    Lan, Guijie
    Huang, Youlin
    Wei, Chunjin
    Zhang, Shuwen
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 529
  • [40] Optimal curing rate allocation in the SIS epidemic model
    McFadden, Ryan
    Daly, Fraser
    Shneer, Seva
    STATISTICS & PROBABILITY LETTERS, 2025, 216
12345