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
  • [41] Dynamics of an SIS network model with a periodic infection rate
    Zhang, Lei
    Liu, Maoxing
    Hou, Qiang
    Azizi, Asma
    Kang, Yun
    APPLIED MATHEMATICAL MODELLING, 2021, 89 : 907 - 918
  • [42] Hopf bifurcations for a delayed discrete single population patch model in advective environments
    Liu, Weiwei
    Shen, Zuolin
    Chen, Shanshan
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2024,
  • [43] Global dynamics of a generalist predator-prey model in open advective environments
    Lou, Yuan
    Nie, Hua
    JOURNAL OF MATHEMATICAL BIOLOGY, 2022, 84 (06)
  • [44] Bifurcation Analysis for a Delayed Diffusive Logistic Population Model in the Advective Heterogeneous Environment
    Shanshan Chen
    Junjie Wei
    Xue Zhang
    Journal of Dynamics and Differential Equations, 2020, 32 : 823 - 847
  • [45] Predator-prey systems in open advective heterogeneous environments with Holling-Tanner interaction term
    Tang, De
    Chen, Yuming
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 334 : 280 - 308
  • [46] Threshold dynamics of a cooperation-diffusion-advection model in open advective environments
    Liu, Qinglan
    Zhang, Guohong
    Wang, Xiaoli
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2023, 16 (04)
  • [47] GLOBAL DYNAMICS OF A TWO-SPECIES COMPETITION MODEL IN ADVECTIVE HOMOGENEOUS ENVIRONMENTS
    Wei, Jinyu
    Liu, Bin
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (04) : 1099 - 1119
  • [48] A workflow model for heterogeneous computing environments
    Curran, Oisin
    Shearer, Andy
    FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF ESCIENCE, 2009, 25 (04): : 414 - 425
  • [49] An Awareness Model for Agents in Heterogeneous Environments
    Bade, Dirk
    Braubach, Lars
    Pokahr, Alexander
    Lamersdorf, Winfried
    PROGRAMMING MULTI-AGENT SYSTEMS, 2009, 5442 : 152 - 167
  • [50] Spatial patterns in a discrete-time SIS patch model
    Allen, L. J. S.
    Lou, Y.
    Nevai, A. L.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2009, 58 (03) : 339 - 375
12345