Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer

被引:1
|
作者
Chang-qin ZHANG [1 ]
Liping LIU [1 ,2 ]
Ping YAN [1 ]
Lin-zhong ZHANG [1 ]
机构
[1] School of Sciences, Anhui Agricultural University
[2] Department of Mathematics, Lakehead University
基金
加拿大自然科学与工程研究理事会;
关键词
incomplete trophic transfer; time delay; Ivlev-type; existence and uniqueness; stability; Hopf bifurcation;
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
A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model,we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed prey to predator in the Ivlev-type functional responses. The existence and uniqueness of the positive equilibrium of the model and the stability of the equilibrium of the model are studied under various conditions.Hopf bifurcation analysis of the delayed model is provided.
引用
收藏
页码:235 / 246
页数:12
相关论文
共 50 条
  • [21] Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior
    Xu, Chaoqun
    Yuan, Sanling
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [22] The stability and Hopf bifurcation for a predator-prey system with time delay
    Celik, Canan
    CHAOS SOLITONS & FRACTALS, 2008, 37 (01) : 87 - 99
  • [23] HOPF BIFURCATION AND CONTROL FOR THE DELAYED PREDATOR-PREY MODEL WITH NONLINEAR PREY HARVESTING
    Zhang, Guodong
    Guo, Huangyu
    Han, Jing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2954 - 2976
  • [24] Hopf and Turing-Hopf bifurcation analysis of a delayed predator-prey model with schooling behavior
    Ding, Shihua
    Yang, Rui
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (05):
  • [25] Stability and Local Hopf Bifurcation for a Predator-Prey Model with Delay
    Xue, Yakui
    Wang, Xiaoqing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [26] Hopf Bifurcation Analysis of a Delayed Diffusive Predator-Prey Model with Predator Interference or Foraging Facilitation
    Wang, Wenlong
    Liu, Zijun
    Yang, Ruizhi
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2022, 2022
  • [27] Hopf bifurcation analysis in a predator-prey model with predator-age structure and predator-prey reaction time delay
    Zhang, Xiangming
    Liu, Zhihua
    APPLIED MATHEMATICAL MODELLING, 2021, 91 : 530 - 548
  • [28] Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator
    Gao, Shujing
    Chen, Lansun
    Teng, Zhidong
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 721 - 729
  • [29] STABILITY AND BIFURCATION ANALYSIS IN A DELAYED PREDATOR-PREY SYSTEM
    Jiang, Zhichao
    Zhang, Wenzhi
    Huo, Dongsheng
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2009, 2 (04) : 483 - 506
  • [30] ON HOPF BIFURCATION OF A DELAYED PREDATOR-PREY SYSTEM WITH DIFFUSION
    Liu, Jianxin
    Wei, Junjie
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (02):