Global Stability and Hopf Bifurcation on a Predator-Prey System with Delays and Stage Structure

被引：0
|
作者：
Wang, Yuquan [1 ]
机构：
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
来源：
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS | 2008年
关键词：
holling II functional response; delay; global stability; hopf bifurcation;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a delayed predator-prey system with stage structure for prey is investigated. The global stability of a positive equilibrium is discussed. By analyzing the associated characteristic equation, it is found that Hopf bifurcation occurs when these delays pass through a sequence of critical value.
引用
收藏
页码：825 / 829
页数：5
相关论文
共 50 条
  • [41] Stability and Hopf bifurcation for a ratio-dependent predator-prey system with stage structure and time delay
    Wang, Lingshu
    Feng, Guanghui
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 15
  • [42] Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator
    Zhang, Xiao
    Xu, Rui
    Gan, Qintao
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
  • [43] Stability and Hopf bifurcation for a ratio-dependent predator-prey system with stage structure and time delay
    Lingshu Wang
    Guanghui Feng
    Advances in Difference Equations, 2015
  • [44] Hopf bifurcation of a predator-prey model with time delay and stage structure for the prey
    Li Feng
    Li Hongwei
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 672 - 679
  • [45] 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
  • [46] Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term
    Zheng, Lv-Zhou
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [47] Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays
    Zhang, Zizhen
    Yang, Huizhong
    Liu, Juan
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [48] Stability and Hopf bifurcation analysis of a predator-prey system with multiple delays and generalized Allee effect
    Zhuo, Gaji
    Liu, Hua
    Liu, Chunya
    Zhang, Qibin
    Wei, Yumei
    CHAOS, 2025, 35 (02)
  • [49] Stability Switching Curves and Hopf Bifurcation of a Fractional Predator-Prey System with Two Nonidentical Delays
    Li, Shuangfei
    Zhu, Yingxian
    Dai, Yunxian
    Lin, Yiping
    SYMMETRY-BASEL, 2022, 14 (04):
  • [50] Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays
    Liu, Juan
    Sun, Changwei
    Li, Yimin
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345