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.
引用
收藏
页码：307 / 319
页数：13
相关论文
共 50 条
  • [1] Bifurcation analysis of a population model and epidemic model with delay
    Wei, Junjie
    Zou, Xingfu
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 197 (01) : 169 - 187
  • [2] Stability Analysis and Bifurcation Control For a Fractional Order SIR Epidemic Model with Delay
    Liu, Feng
    Huang, Shuxian
    Zheng, Shiqi
    Wang, Hua O.
    [J]. PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 724 - 729
  • [3] Hopf Bifurcation of an Epidemic Model with Delay
    Song, Li-Peng
    Ding, Xiao-Qiang
    Feng, Li-Ping
    Shi, Qiong
    [J]. PLOS ONE, 2016, 11 (06):
  • [4] Bifurcation analysis of an autonomous epidemic predator–prey model with delay
    Changjin Xu
    Maoxin Liao
    [J]. Annali di Matematica Pura ed Applicata, 2014, 193 : 23 - 38
  • [5] Numerical and bifurcation analysis of spatio-temporal delay epidemic model
    Jawaz, Muhammad
    Rehman, Muhammad Aziz Ur
    Ahmed, Nauman
    Baleanu, Dumitru
    Rafiq, Muhammad
    [J]. RESULTS IN PHYSICS, 2021, 22
  • [6] Bifurcation analysis of an autonomous epidemic predator-prey model with delay
    Xu, Changjin
    Liao, Maoxin
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (01) : 23 - 38
  • [7] Hopf bifurcation and permanence analysis of an S-I epidemic model with delay
    Das, P
    Mukherjee, D
    [J]. JOURNAL OF BIOLOGICAL SYSTEMS, 2004, 12 (02) : 169 - 177
  • [8] Frequency Domain Analysis for Bifurcation in a Class of SIRS Epidemic Model with Time Delay
    Xu, Changjin
    Liao, Maoxin
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 357 - 361
  • [9] Stability and Hopf bifurcation for an epidemic disease model with delay
    Sun, CJ
    Lin, YP
    Han, MA
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (01) : 204 - 216
  • [10] Hopf bifurcation in a networked delay SIR epidemic model
    Barman, Madhab
    Mishra, Nachiketa
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 525 (01)
12345