Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term

被引:2
|
作者
Zheng, Lv-Zhou [1 ]
机构
[1] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China
关键词
GLOBAL PERIODIC-SOLUTIONS; NEURAL-NETWORKS; SWITCHING PARAMETERS; DISCRETE;
D O I
10.1155/2014/428523
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A class of predator-prey system with distributed delays and competition term is considered. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the predator-prey system. According to the theorem of Hopf bifurcation, some sufficient conditions are obtained for the local stability of the positive equilibrium
引用
收藏
页数:5
相关论文
共 50 条
  • [21] Hopf bifurcation of a predator-prey system with predator harvesting and two delays
    Zhang, Guodong
    Shen, Yi
    Chen, Boshan
    NONLINEAR DYNAMICS, 2013, 73 (04) : 2119 - 2131
  • [22] Hopf bifurcation and global stability of a delayed predator-prey model with prey harvesting
    Li, Yan
    Wang, Mingxin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (05) : 398 - 410
  • [23] Hopf Bifurcation of a Predator-Prey System with Delays and Stage Structure for the Prey
    Zhang, Zizhen
    Yang, Huizhong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [24] STABILITY AND HOPF BIFURCATION OF A DELAYED PREDATOR-PREY SYSTEM WITH NONLOCAL COMPETITION AND HERD
    Peng, Yahong
    Li, Yujing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (04): : 1932 - 1958
  • [25] Hopf bifurcation and stability in predator-prey model with a stage-structure for prey
    Sun, Xiao-Ke
    Huo, Hai-Feng
    Ma, Cao-Chuan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (20) : 10313 - 10324
  • [26] Stability and Bifurcation in a Predator-Prey Model with Age Structure and Delays
    Liu, Zhihua
    Li, Naiwei
    JOURNAL OF NONLINEAR SCIENCE, 2015, 25 (04) : 937 - 957
  • [27] Hopf bifurcation analysis of a predator-prey model
    Nie, D. D.
    Xiong, Z. L.
    Wang, W.
    BIOINFORMATICS AND BIOMEDICAL ENGINEERING: NEW ADVANCES, 2016, : 75 - 83
  • [28] Global Hopf Bifurcation for a Predator-Prey System with Three Delays
    Jiang, Zhichao
    Wang, Lin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (07):
  • [29] Hopf bifurcation analysis of predator-prey model with two delays and disease transmission
    Shi, Renxiang
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (07)
  • [30] Stability and Hopf Bifurcation of a Diffusive Predator-Prey Model with Hyperbolic Mortality
    Sambath, Muniyagounder
    Balachandran, Krishnan
    Suvinthra, Murugan
    COMPLEXITY, 2016, 21 (S1) : 34 - 43