Global stability for an special SEIR epidemic model with nonlinear incidence rates

被引：60

作者：

Sun, Chengjun ^{[1
]}

Lin, Yiping

Tang, Shoupeng

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Mat Sci & Engn, Shanghai 200240, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 33卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2005.12.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A SEIR epidemic model with nonlinear incidence rates, constant recruitment and disease-caused death in epidemiology is considered. It is shown that the global dynamics is completely determined by the contact number R-0. If R-0 <= 1, the disease-free equilibrium is globally stable and the disease dies out. If R-0 > 1, the unique endemic equilibrium is globally stable in the interior of the feasible region by using the methods established in Butler GJ, Freedman HI, Waltman P. Uniformly persistent systems, Proc Am Math Soc 1986;96:425-30, and the disease persists at the endemic equilibrium. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：290 / 297

页数：8

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