Hopy bifurcation and stability analysis in a predator-prey model with distributed delays

被引：0
|
作者：
Chen, Hongbing [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China
来源：
MODERN TECHNOLOGIES IN MATERIALS, MECHANICS AND INTELLIGENT SYSTEMS | 2014年 / 1049卷
关键词：
Hopf bifurcation; stability; Time delay; Equilibrium point;
D O I：
10.4028/www.scientific.net/AMR.1049-1050.1400
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, A mathematical model of two species with stage structure and distributed delays is investigated, the necessary and sufficient of the stable equilibrium point are studied. Further, by analyze the associated characteristic equation, it is founded that Hopf bifurcation occurs when crosses some critical value. The direction of Hopf bifurcation as well as stability of periodic solution are studied. Using the normal form theory and center manifold method.
引用
收藏
页码：1400 / 1402
页数：3
相关论文
共 50 条
  • [21] Hopf bifurcation in a predator-prey system with discrete and distributed delays
    Yang, Yu
    Ye, Jin
    CHAOS SOLITONS & FRACTALS, 2009, 42 (01) : 554 - 559
  • [22] 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
  • [23] Bifurcation analysis of an intraguild predator-prey model
    Narimani, Hajar
    Ghaziani, Reza Khoshsiar
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04)
  • [24] STABILITY AND BIFURCATION IN A PREDATOR-PREY MODEL WITH PREY REFUGE
    Chen, Wenchang
    Yu, Hengguo
    Dai, Chuanjun
    Guo, Qing
    Liu, He
    Zhao, Min
    JOURNAL OF BIOLOGICAL SYSTEMS, 2023, 31 (02) : 417 - 435
  • [25] Hopf Bifurcation in a Predator-Prey System with Delays
    Meng, Xinyou
    Huo, Haifeng
    Zhang, Xiaobing
    Xiang, Hong
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 228 - 231
  • [26] On the stability and Hopf bifurcation of a predator-prey model
    Jia, Jianwen
    Wei, Xiaomin
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [27] On the stability and Hopf bifurcation of a predator-prey model
    Jianwen Jia
    Xiaomin Wei
    Advances in Difference Equations, 2016
  • [28] Stability and bifurcation analysis on a ratio-dependent predator-prey model with time delay
    Xu, Rui
    Gan, Qintao
    Ma, Zhien
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (01) : 187 - 203
  • [29] Bifurcation analysis in a predator-prey model for the effect of delay in prey
    Wang, Qiubao
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2016, 9 (04)
  • [30] Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator
    Xu, Rui
    Ma, Zhien
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) : 1444 - 1460
12345