Dynamics analysis of an SEIQS model with a nonlinear incidence rate

被引：0

作者：

Cui, Ning ^{[1
]}

Li, Jun Hong ^{[1
]}

Qu, Jiao ^{[1
]}

Xue, Hong Dan ^{[1
]}

机构：

[1] Hebei Inst Architecture & Civil Engn, Dept Math & Sci, Zhangjiakou 075000, Hebei, Peoples R China

来源：

MECHATRONICS AND APPLIED MECHANICS, PTS 1 AND 2 | 2012年 / 157-158卷

关键词：

SEIQS model; incidence rate; global stability; limit cycle; simulation; EPIDEMIC MODEL; BIFURCATION-ANALYSIS;

D O I：

10.4028/www.scientific.net/AMM.157-158.1220

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper considers an SEIQS model with nonlinear incidence rate. By means of Lyapunov function and LaSalle's invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. It is then obtained the sufficent conditions for the global stability of the endemic equilibrium by the compound matrix theory. In addition, we also study the phenomena of limit cycle of the systems with the numerical simulations.

引用

页码：1220 / 1223

页数：4

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