Stability analysis and Hopf bifurcation in a diffusive epidemic model with two delays

被引：2
|
作者：
Dai, Huan [1 ]
Liu, Yuying [2 ]
Wei, Junjie [2 ]
机构：
[1] Harbin Inst Technol Weihai, Sch Sci, Weihai 264209, Peoples R China
[2] Harbin Inst Thchnol, Dept Math, Harbin 150001, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
epidemic; two delays; Hopf bifurcation; normal form; GLOBAL STABILITY; SYSTEM; DYNAMICS; WAVES;
D O I：
10.3934/mbe.2020229
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. First we obtain the existence and the stability of the positive constant steady state. Then we investigate the existence of Hopf bifurcations by analyzing the distribution of the eigenvalues. Furthermore, we derive the normal form on the center manifold near the Hopf bifurcation singularity. Finally, some numerical simulations are carried out to illustrate the theoretical results.
引用
收藏
页码：4127 / 4146
页数：20
相关论文
共 50 条
  • [1] Stability and Hopf bifurcation analysis of a networked SIR epidemic model with two delays
    Zhou, Shumin
    Dai, Yunxian
    Wang, Hongyan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, : 669 - 706
  • [2] Hopf bifurcation analysis for an epidemic model over the Internet with two delays
    Tao Zhao
    Dianjie Bi
    Advances in Difference Equations, 2018
  • [3] Hopf bifurcation analysis for an epidemic model over the Internet with two delays
    Zhao, Tao
    Bi, Dianjie
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [4] STABILITY AND HOPF BIFURCATION ANALYSIS OF A NETWORKED SIR EPIDEMIC MODEL WITH TWO DELAYS AND DELAY DEPENDENT PARAMETERS
    Zhou, Shumin
    Dai, Yunxian
    Wang, Hongyan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (04): : 1996 - 2026
  • [5] Stability and Hopf bifurcation of a love model with two delays
    Liu, Yifan
    Cai, Jiazhi
    Xu, Haowen
    Shan, Minghe
    Gao, Qingbin
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 205 : 558 - 580
  • [6] Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays
    Zhang, Zizhen
    Kundu, Soumen
    Tripathi, Jai Prakash
    Bugalia, Sarita
    CHAOS SOLITONS & FRACTALS, 2020, 131
  • [7] GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS
    YUAN Sanling MA Zhien (Department of Applied Mathematics
    Journal of Systems Science and Complexity, 2001, (03) : 327 - 336
  • [8] Stability and Hopf bifurcation analysis for a two-enterprise interaction model with delays
    Li, Long
    Zhang, Cun-Hua
    Yan, Xiang-Ping
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 30 (1-3) : 70 - 83
  • [9] Stability and Hopf Bifurcation Analysis of a Plant Virus Propagation Model with Two Delays
    Liu, Junli
    Zhang, Tailei
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [10] Hopf bifurcation analysis for an SIRS epidemic model with logistic growth and delays
    Liu J.
    Journal of Applied Mathematics and Computing, 2016, 50 (1-2) : 557 - 576
12345