Bifurcation and Stability Analysis of a Discrete Predator-Prey Model with Alternative Prey

被引：0
|
作者：
Lei, Ceyu [1 ]
Han, Xiaoling [1 ]
Wang, Weiming [2 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
[2] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Discrete model; Bifurcation; Periodic structure; Chaos; CHAOS CONTROL; SYSTEM; DYNAMICS;
D O I：
10.1007/s12346-024-01092-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the dynamics of a class of discrete predator-prey model with alternative prey. We prove the boundedness of the solution, the existence and local/global stability of equilibrium points of the model, and verify the existence of flip bifurcation and Neimark-Sacker bifurcation. In addition, we use the maximum Lyapunov exponent and isoperimetric diagrams to verify the existence of periodic structures namely Arnold tongue and the shrimp-shaped structures in bi-parameter spaces of a class of predator-prey model.
引用
收藏
页数：33
相关论文
共 50 条
  • [21] Stability and Hopf bifurcation for a delayed predator-prey model with disease in the prey
    Hu, Guang-Ping
    Li, Xiao-Ling
    [J]. CHAOS SOLITONS & FRACTALS, 2012, 45 (03) : 229 - 237
  • [22] Hopf bifurcation and stability analysis for a predator-prey model with delays
    Chen, Hongbing
    Wang, Limei
    [J]. ADVANCES IN APPLIED SCIENCES AND MANUFACTURING, PTS 1 AND 2, 2014, 850-851 : 901 - 904
  • [23] BIFURCATION ANALYSIS OF A DELAYED PREDATOR-PREY MODEL OF PREY MIGRATION AND PREDATOR SWITCHING
    Xu, Changjin
    Tang, Xianhua
    Liao, Maoxin
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) : 353 - 373
  • [24] Hopf bifurcation analysis of a predator-prey model
    Nie, D. D.
    Xiong, Z. L.
    Wang, W.
    [J]. BIOINFORMATICS AND BIOMEDICAL ENGINEERING: NEW ADVANCES, 2016, : 75 - 83
  • [25] Bifurcation analysis of an intraguild predator-prey model
    Narimani, Hajar
    Ghaziani, Reza Khoshsiar
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04):
  • [26] Bifurcation Behavior Analysis in a Predator-Prey Model
    Wang, Nan
    Zhao, Min
    Yu, Hengguo
    Dai, Chuanjun
    Wang, Beibei
    Wang, Pengfei
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016
  • [27] Bifurcation analysis of an intraguild predator-prey model
    Hajar Narimani
    Reza Khoshsiar Ghaziani
    [J]. Computational and Applied Mathematics, 2022, 41
  • [28] Bifurcation and stability analysis in predator-prey model with a stage-structure for predator
    Sun, Xiao-Ke
    Huo, Hai-Feng
    Xiang, Hong
    [J]. NONLINEAR DYNAMICS, 2009, 58 (03) : 497 - 513
  • [29] HOPF BIFURCATION AND GLOBAL STABILITY OF A PREDATOR-PREY MODEL WITH ALTERNATIVE RESOURCE AND CANNIBALISM
    Liu, Juan
    Upadhyay, Ranjit kumar
    Agrawal, Rashmi
    Zeb, Anwar
    Saeed, Tareq
    Ahmad, Zahid
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (10)
  • [30] STABILITY ANALYSIS OF A PREDATOR-PREY MODEL
    Jiang, Zhichao
    Guo, Zhaozhuang
    Sun, Yuefang
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (01)
12345