ANALYSIS ON A DIFFUSIVE SEI EPIDEMIC MODEL WITH/WITHOUT IMMIGRATION OF INFECTED HOSTS

被引：1

作者：

Lei, Chengxia ^{[1
]}

Shen, Yi ^{[1
]}

Zhang, Guanghui ^{[2
]}

Zhang, Yuxiang ^{[3
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[3] Tianjin Univ, Sch Math, Tianjin 300350, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 12期

关键词：

A diffusive SEI model; immigration of infected hosts; endemic equi-librium; global attractivity; small diffusion; asymptotic behavior; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; GLOBAL STABILITY; LYAPUNOV FUNCTIONS; STANDARD INCIDENCE; DISEASE; SYSTEM; DYNAMICS; BEHAVIOR; DELAY;

D O I：

10.3934/dcdss.2021131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a reaction-diffusion SEI epidemic model with/without immigration of infected hosts. Our results show that if there is no immigration for the infected (exposed) individuals, the model admits a threshold behaviour in terms of the basic reproduction number, and if the system includes the immigration, the disease always persists. In each case, we explore the global attractivity of the equilibrium via Lyapunov functions in the case of spatially homogeneous environment, and investigate the asymptotic behavior of the endemic equilibrium (when it exists) with respect to the small migration rate of the susceptible, exposed or infected population in the case of spatially heterogeneous environment. Our results suggest that the strategy of controlling the migration rate of population can not eradicate the disease, and the disease transmission risk will be underestimated if the immigration of infected hosts is ignored.

引用

页码：4259 / 4292

页数：34

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