Global stability of equilibria of a diffusive SEIR epidemic model with nonlinear incidence

被引：43
|
作者：
Han, Shuyu [1 ]
Lei, Chengxia [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 98卷
关键词：
A diffusive SEIR epidemic model; Nonlinear incidence; Disease-free equilibrium; Endemic equilibrium; Global stability; DISEASE TRANSMISSION MODEL; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; INFECTION; BEHAVIOR; SIR; DYNAMICS; RISK;
D O I：
10.1016/j.aml.2019.05.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a diffusive SEIR epidemic model with nonlinear incidence of the form (ISq)-S-p for 0 < p <= 1, which is used to describe the spread of an infection among susceptible and infected individuals. By constructing suitable Lyapunov functions, we study the global stability of the endemic equilibrium and the disease free equilibrium. Our results reveal the important role of the parameter p in the persistence and extinction of the disease. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：114 / 120
页数：7
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