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
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