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
收藏
页码：357 / 361
页数：5
相关论文
共 50 条
  • [21] Backward Bifurcation in a Fractional-Order SIRS Epidemic Model with a Nonlinear Incidence Rate
    Yousef, A. M.
    Salman, S. M.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2016, 17 (7-8) : 401 - 412
  • [22] BOGDANOV-TAKENS BIFURCATION IN A SIRS EPIDEMIC MODEL WITH A GENERALIZED NONMONOTONE INCIDENCE RATE
    Lu, Min
    Xiang, Chuang
    Huang, Jicai
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (11): : 3125 - 3138
  • [23] Bifurcation analysis of a delayed epidemic model
    Zhang, Fen-Fen
    Jin, Zhen
    Sun, Gui-Quan
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (03) : 753 - 767
  • [24] A Simple SIRS Epidemic Model with Multiple Endemic Equilibria and Hopf Bifurcation
    Li, Jianquan
    Yang, Yali
    Yan, Long
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 248 - 251
  • [25] Hopf Bifurcation Analysis of a Class of Saperda populnea Infectious Disease Model with Delay
    Cai, Fuyu
    Ding, Yuting
    MATHEMATICS, 2023, 11 (20)
  • [26] Analysis of stability and Hopf bifurcation for an HIV infection model with time delay
    Zhou, Xueyong
    Song, Xinyu
    Shi, Xiangyun
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (01) : 23 - 38
  • [27] Bifurcation Analysis of Time-Delay Model of Consumer with the Advertising Effect
    Abd-Rabo, Mahmoud A.
    Zakarya, Mohammed
    Cesarano, Clemente
    Aly, Shaban
    SYMMETRY-BASEL, 2021, 13 (03): : 1 - 21
  • [28] Bifurcation analysis in a diffusive 'food-limited' model with time delay
    Su, Ying
    Wan, Aying
    Wei, Junjie
    APPLICABLE ANALYSIS, 2010, 89 (07) : 1161 - 1181
  • [29] Hopf bifurcation in epidemic models with a time delay in vaccination
    Khan, QJA
    Greenhalgh, D
    IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY, 1999, 16 (02): : 113 - 142
  • [30] Bifurcation analysis in an epidemic model on adaptive networks
    Chen, Liang
    Wang, JinRong
    CHAOS, 2023, 33 (03)
12345