Stability analysis of an SEIQV epidemic model with saturated incidence rate

被引：108

作者：

Liu, Xingbo ^{[1
]}

Yang, Lijuan ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 06期

关键词：

Epidemic model; Basic reproduction number; Disease-free equilibrium; Endemic equilibrium; Stability; NONLINEAR INCIDENCE; GLOBAL-STABILITY; DYNAMICS; THRESHOLD; BEHAVIOR; DISEASES;

D O I：

10.1016/j.nonrwa.2012.03.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, an SEIQV epidemic model with saturated incidence rate is considered. The basic reproduction number R-0 is found. If R-0 <= 1, the disease-free equilibrium is globally asymptotically stable; if R-0 > 1, endemic equilibrium is globally asymptotically stable and the disease is persistent. Numerical simulations are carried out to illustrate the feasibility of the obtained results, especially the effect of vaccination to eliminate the disease. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2671 / 2679

页数：9

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