Frequency Domain Analysis for Bifurcation in a Class of SIRS Epidemic Model with Time Delay

被引：0
|
作者：
Xu, Changjin [1 ]
Liao, Maoxin [1 ]
机构：
[1] Cent S Univ, Sch Math & Comp Technol, Changsha 410075, Hunan, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
SIRS epidemic model; stability; Hopf bifurcation; frequency domain; HOPF-BIFURCATION;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a class of SIRS epidemic model with time delay is considered. By applying the frequency domain approach and analyzing the associated characteristic equation, the existence of bifurcation parameter point is determined. If the coefficient tau is chosen as a bifurcation parameter, it is found that Hopf bifurcation occurs when the parameter tau passes through a critical value. Some numerical simulations for justifying the theoretical analysis are also provided.
引用
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页码：357 / 361
页数：5
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