Relative prevalence-based dispersal in an epidemic patch model

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成果类型：

期刊论文

作者：

Lu, Min;Gao, Daozhou;Huang, Jicai;Wang, Hao

通讯作者：

Jicai Huang<&wdkj&>Hao Wang

作者机构：

[Lu, Min; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

[Lu, Min; Huang, Jicai] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.

[Gao, Daozhou] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA.

[Gao, Daozhou] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China.

[Wang, Hao] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.

通讯机构：

[Jicai Huang] S

[Hao Wang] D

School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, People’s Republic of China<&wdkj&>Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada

语种：

英文

关键词：

Bogdanov–Takens bifurcation;Disease prevalence;Hopf bifurcation;Mixed-mode oscillations;Nonconstant dispersal;Nonlinear incidence rate;SIRS patch model

期刊：

Journal of Mathematical Biology

ISSN：

0303-6812

年：

2023

卷：

期：

页码：

1-35

DOI：

10.1007/s00285-023-01887-8

基金类别：

NSFC [11871235, 12231008, 12071300]; NSERC [RGPIN-2020-03911, RGPAS-2020-00090]

机构署名：

本校为第一机构

院系归属：

数学与统计学学院

摘要：

In this paper, we propose a two-patch SIRS model with a nonlinear incidence rate: $$\beta _i(1+\nu _iI_i)I_i S_i$$ and nonconstant dispersal rates, where the dispersal rates of susceptible and recovered individuals depend on the relative disease prevalence in two patches. In an isolated environment, the model admits Bogdanov–Takens bifurcation of codimension 3 (cusp case) and Hopf bifurcation of codimension up to 2 as the parameters vary, and exhibits rich dynamics such as multiple coexistent steady states and periodic orbits, homoc...

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Relative prevalence-based dispersal in an epidemic patch model

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