HOPF BIFURCATION IN A PREDATOR-PREY MODEL WITH TWO DELAYS

被引：0
|
作者：
Yingguo Li
机构：
[1] SchoolofMathandComputerScience,FujianNormalUniversity
来源：
Annals of Differential Equations | 2014年 / 30卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the two delays as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the parameter passes through a certain critical value.Finally,in order to illustrate our theoretical analysis,some numerical simulations are also included.
引用
收藏
页码：312 / 317
页数：6
相关论文
共 50 条
  • [11] Stability and Hopf bifurcation of a predator-prey model
    Wu, Fan
    Jiao, Yujuan
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
  • [12] On the stability and Hopf bifurcation of a predator-prey model
    Jia, Jianwen
    Wei, Xiaomin
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [13] Stability and Hopf bifurcation of a predator-prey model
    Fan Wu
    Yujuan Jiao
    Boundary Value Problems, 2019
  • [14] Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
    Peng, Miao
    Zhang, Zhengdi
    Wang, Xuedi
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [15] On the stability and Hopf bifurcation of a predator-prey model
    Jianwen Jia
    Xiaomin Wei
    Advances in Difference Equations, 2016
  • [16] Stability and Hopf bifurcation analysis on a predator-prey model with discrete and distributed delays
    Ma, Zhan-Ping
    Huo, Hai-Feng
    Liu, Chun-Ying
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 1160 - 1172
  • [17] Global Hopf Bifurcation for a Predator-Prey System with Three Delays
    Jiang, Zhichao
    Wang, Lin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (07):
  • [18] Hopf bifurcation in a predator-prey system with discrete and distributed delays
    Yang, Yu
    Ye, Jin
    CHAOS SOLITONS & FRACTALS, 2009, 42 (01) : 554 - 559
  • [19] Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term
    Zheng, Lv-Zhou
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [20] Hopf Bifurcation Analysis for a Semiratio-Dependent Predator-Prey System with Two Delays
    Zhao, Ming
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345