The hopf bifurcation analysis in a delayed fractional SIR epidemic model

被引：0
|
作者：
Pan, Feng [1 ]
Cui, Xinshu [1 ]
Xue, Dingyu [1 ]
Liu, Lu [2 ]
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Northwestern Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China
来源：
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC) | 2018年
关键词：
Hopf bifurcation; Time delay; Fractional SIR epidemic model; DYNAMICS; SYSTEM;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the Hopf bifurcation in a delayed fractional-order SIR epidemic model is investigated, Firstly, the associated characteristic equation is analyzed by using time delay as a bifurcation parameter. It is shown that time delay can effect the stability of the diseases prevalence. Finally, some numerical simulations are presented to illustrate our theoretical results.
引用
收藏
页码：3078 / 3082
页数：5
相关论文
共 50 条
  • [31] Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources
    Yan, Caijuan
    Jia, Jianwen
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [32] 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):
  • [33] Forward and Backward Bifurcation in a Fractional-Order SIR Epidemic Model with Vaccination
    Rostamy, Davood
    Mottaghi, Ehsan
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A2): : 663 - 671
  • [34] Forward and Backward Bifurcation in a Fractional-Order SIR Epidemic Model with Vaccination
    Rostamy D.
    Mottaghi E.
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 (2): : 663 - 671
  • [35] Hopf bifurcation for an SIR model with age structure
    Cao, Hui
    Yan, Dongxue
    Xu, Xiaxia
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16
  • [36] Hopf bifurcation and patterns in a modified SIR model
    Yang, Wenjie
    Zheng, Qianqian
    Shen, Jianwei
    Guan, Linan
    [J]. FRONTIERS IN PHYSICS, 2023, 11
  • [37] Analysis of a delayed SIR epidemic model with pulse vaccination
    Gao, Shujing
    Teng, Zhidong
    Xie, Dehui
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (02) : 1004 - 1011
  • [38] Bifurcation analysis of a discrete SIR epidemic model with constant recovery
    Hui Cao
    Huan Wu
    Xiaoqin Wang
    [J]. Advances in Difference Equations, 2020
  • [39] Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function
    Li, Guihua
    Li, Gaofeng
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [40] Bifurcation analysis of a discrete SIR epidemic model with constant recovery
    Cao, Hui
    Wu, Huan
    Wang, Xiaoqin
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
12345