THE ANALYSIS OF HOPF-BIFURCATION FOR THE PREY-PREDATOR SYSTEM WITH DIFFUSION AND DELAY

被引:2
|
作者
ZHOU, L
SONG, KT
机构
[1] HUAZHONG UNIV SCI & TECHNOL,DEPT MATH,WUHAN,PEOPLES R CHINA
[2] WUHAN UNIV,DEPT MATH,WUHAN,PEOPLES R CHINA
关键词
D O I
10.1016/S0252-9602(18)30229-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper the influence of diffusion for stability of the prey-predator system with delay is studied. We analysed the conditions which raise the Hopf bifurcation. The problem is reduced by centralmanifold, and the approximation form of the stability periodic is obtained.
引用
收藏
页码:142 / 163
页数:22
相关论文
共 50 条
  • [41] Stability and Hopf-bifurcation analysis of diffusive Leslie-Gower prey-predator model with the Allee effect and carry-over effects
    Ramasamy, Sivasamy
    Banjerdpongchai, David
    Park, Poogyeon
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2025, 227 : 19 - 40
  • [42] Dynamic Analysis on Hopf Bifurcation of Predator-Prey System
    Xu, Ying
    INTERNATIONAL CONFERENCE ON BIOLOGICAL, MEDICAL AND CHEMICAL ENGINEERING (BMCE 2013), 2013, : 624 - 629
  • [43] HOPF BIFURCATION ANALYSIS IN A DIFFUSIVE PREDATOR-PREY SYSTEM WITH DELAY AND SURPLUS KILLING EFFECT
    Shen, Zuolin
    Wei, Junjie
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2018, 15 (03) : 693 - 715
  • [44] Hopf Bifurcation in a Predator–Prey System with Infection
    A. P. Krishchenko
    O. A. Podderegin
    Differential Equations, 2023, 59 : 1573 - 1578
  • [45] Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
    Zuo, Wenjie
    Wei, Junjie
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 1998 - 2011
  • [46] Stability and Bifurcation Analysis of a Prey-Predator Model
    Mishra, T. N.
    Tiwari, B.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (04):
  • [47] Bifurcation analysis of a prey-predator coevolution model
    Dercole, F
    Irisson, JO
    Rinaldi, S
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 63 (04) : 1378 - 1391
  • [48] Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect
    Parwaliya, Ankit
    Singh, Anuraj
    Kumar, Ajay
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024, 17 (05)
  • [49] Stability and Bifurcation Analysis of Fractional-Order Delayed Prey-Predator System and the Effect of Diffusion
    Kumar, Vikas
    Kumari, Nitu
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (01):
  • [50] Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies
    Yuxiao Guo
    Nannan Ji
    Ben Niu
    Advances in Difference Equations, 2019