Hybrid tactics for bifurcation control in a fractional-order delayed predator-prey model

被引：35
|
作者：
Zhou, Weigang [1 ]
Huang, Chengdai [1 ]
Xiao, Min [2 ]
Cao, Jinde [3 ,4 ]
机构：
[1] Hubei Univ Arts & Sci, Sch Math & Stat, Xiangyang 441053, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210003, Jiangsu, Peoples R China
[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 515卷
关键词：
Hopf bifurcation; Hybrid control; Fractional-order; Delayed predator-prey system; TIME-DELAY; STABILITY; SYSTEM;
D O I：
10.1016/j.physa.2018.09.185
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper handles the problem of controlling bifurcation for a fractional delayed predator prey system via active hybrid control strategy. Delay-induced bifurcation conditions of the Hopf bifurcation are achieved for controlled model by using time delay as a bifurcation parameter. It is illustrated that the stability performance is drastically enhanced with the help of the proposed controller, yet Hopf bifurcation emerges in advance if the controller is removed. Finally, numerical simulations are carried out to confirm our theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：183 / 191
页数：9
相关论文
共 50 条
  • [1] Modeling, Analysis and Bifurcation Control of a Delayed Fractional-Order Predator-Prey Model
    Huang, Chengdai
    Song, Xinyu
    Fang, Bin
    Xiao, Min
    Cao, Jinde
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (09):
  • [2] Comparative study on bifurcation control methods in a fractional-order delayed predator-prey system
    ChengDai Huang
    JinDe Cao
    Science China Technological Sciences, 2019, 62 : 298 - 307
  • [3] Comparative study on bifurcation control methods in a fractional-order delayed predator-prey system
    Huang, ChengDai
    Cao, JinDe
    SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2019, 62 (02) : 298 - 307
  • [4] Comparative study on bifurcation control methods in a fractional-order delayed predator-prey system
    HUANG ChengDai
    CAO JinDe
    Science China(Technological Sciences), 2019, (02) : 298 - 307
  • [5] Comparative study on bifurcation control methods in a fractional-order delayed predator-prey system
    HUANG ChengDai
    CAO JinDe
    Science China(Technological Sciences), 2019, 62 (02) : 298 - 307
  • [6] Bifurcation control of a fractional-order PD control strategy for a delayed fractional-order prey–predator system
    Lu Lu
    Chengdai Huang
    Xinyu Song
    The European Physical Journal Plus, 138
  • [7] Bifurcation control of a delayed fractional-order prey-predator model with cannibalism and disease
    Li, Ning
    Yan, Mengting
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 600
  • [8] Dynamics of a Delayed Fractional-Order Predator-Prey Model with Cannibalism and Disease in Prey
    Zhang, Hui
    Muhammadhaji, Ahmadjan
    FRACTAL AND FRACTIONAL, 2024, 8 (06)
  • [9] A novel strategy of bifurcation control for a delayed fractional predator-prey model
    Huang, Chengdai
    Li, Huan
    Cao, Jinde
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 347 : 808 - 838
  • [10] Explicit impacts of harvesting on a fractional-order delayed predator-prey model
    Bhunia, Bidhan
    Bhutia, Lakpa Thendup
    Kar, Tapan Kumar
    Debnath, Papiya
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, 232 (14-15): : 2629 - 2644
12345