Bifurcation Analysis Of An Epidemic Model With Delay As The Control Variable

被引：0
|
作者：
Chi, Qianqian [1 ]
Qu, Ying [1 ]
Wei, Junjie [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
APPLIED MATHEMATICS E-NOTES | 2009年 / 9卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A SIS epidemic model proposed by Cooke et al. [2] is investigated. Using time delay as the control parameter, we investigate the stability and Hopf bifurcation of the model by analyzing the distribution of the roots of its associated characteristic equation. Then an explicit formula for determining the stability and the direction of bifurcating periodic solutions is derived by normal form theory and center manifold argument. Finally, some numerical simulations are carried out as supporting evidences of our analytic results.
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页码：307 / 319
页数：13
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