Stability and bifurcation analysis in a delayed SIR model

被引：54

作者：

Jiang, Zhichao ^{[1
]}

Wei, Junjie ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 35卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2006.05.045

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

In this paper, a time-delayed SIR model with a nonlinear incidence rate is considered. The existence of Hopf bifurcations at the endemic equilibrium is established by analyzing the distribution of the characteristic values. A explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form and the center manifold theory. Numerical simulations to support the analytical conclusions are carried out. (C) 2006 Elsevier Ltd. All rights reserved.

引用

收藏

页码：609 / 619

页数：11

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