Hopf bifurcation in a fractional-order generalized Logistic model with double delays

被引：0
|
作者：
Yang, Xiaoting [1 ]
Yuan, Liguo [1 ]
机构：
[1] South China Agr Univ, Dept Math, Coll Math & Informat, Guangzhou 510642, Peoples R China
来源：
2022 41ST CHINESE CONTROL CONFERENCE (CCC) | 2022年
关键词：
Fractional derivative; Hopf bifurcation; Double delays; Logistic model; SYSTEMS; CHAOS;
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, we consider a fractional-order generalized Logistic model with double delays. We analyze the corresponding characteristic equations in different situations. Furthermore, we choose the delay as the bifurcation parameter and discuss the condition of the Hopf bifurcation at the positive equilibrium and the influence of the delay on the stability. Finally, numerical simulations are used to support our results.
引用
收藏
页码：856 / 860
页数：5
相关论文
共 50 条
  • [41] Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem
    Xiaoli Zhou
    Zhaohua Wu
    Zhiming Wang
    Tiejun Zhou
    Advances in Difference Equations, 2018
  • [42] Chaos, Hopf bifurcation and control of a fractional-order delay financial system
    Shi, Jianping
    He, Ke
    Fang, Hui
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 194 : 348 - 364
  • [43] Hopf bifurcation and chaos in fractional-order modified hybrid optical system
    Abdelouahab, Mohammed-Salah
    Hamri, Nasr-Eddine
    Wang, Junwei
    NONLINEAR DYNAMICS, 2012, 69 (1-2) : 275 - 284
  • [44] HOPF BIFURCATION IN CAPUTO-HADAMARD FRACTIONAL-ORDER DIFFERENTIAL SYSTEM
    Bounoua, Mohamed Doubbi
    Yin, Chuntao
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
  • [45] Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
    Sun, Qingshan
    Xiao, Min
    Zhao, Lingzhi
    Tao, Binbin
    INTELLIGENT COMPUTING, NETWORKED CONTROL, AND THEIR ENGINEERING APPLICATIONS, PT II, 2017, 762 : 507 - 514
  • [46] 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
  • [47] Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
    Qingshan Sun
    Min Xiao
    Binbin Tao
    Neural Processing Letters, 2018, 47 : 1285 - 1296
  • [48] Stability and bifurcation control for a fractional-order chemostat model with time delays and incommensurate orders
    Ma, Xiaomeng
    Bai, Zhanbing
    Sun, Sujing
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (01) : 437 - 455
  • [49] Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system
    Li, Xiang
    Wu, Ranchao
    NONLINEAR DYNAMICS, 2014, 78 (01) : 279 - 288
  • [50] Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system
    Xiang Li
    Ranchao Wu
    Nonlinear Dynamics, 2014, 78 : 279 - 288
12345