Dynamic analysis of an SEIS model with bilinear incidence rate

被引：0

作者：

Li, Jun-hong ^{[1
]}

Cui, Ning ^{[1
]}

Niu, Lianjie ^{[1
]}

Zhang, Jianmei ^{[1
]}

机构：

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

来源：

2011 INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND NETWORK TECHNOLOGY (ICCSNT), VOLS 1-4 | 2012年

关键词：

SEIS model; bilinear incidence rate; global stability; limit cycle; numerical simulations; EPIDEMIC MODEL;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates an SEIS model with bilinear incidence rate. By means of Lyapunov function theorem, we proved the global asymptotical stable results of the disease-free equilibrium and the endemic equilibrium. In addition, we also study the phenomena of Hopf bifurcation and limit cycle of the systems with the numerical simulations.

引用

页码：2268 / 2271

页数：4

共 10 条

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