THE STABILITY OF A PREDATOR-PREY MODEL WITH FEAR EFFECT IN PREY AND SQUARE ROOT FUNCTIONAL RESPONSE

被引:0
|
作者
Ying Huang [1 ]
Zhong Li [1 ]
机构
[1] College of Mathematics and Computer Science, Fuzhou University
关键词
predator-prey; fear effect; stability; Hopf bifurcation;
D O I
暂无
中图分类号
O175 [微分方程、积分方程]; Q141 [数学生态学与生物模型];
学科分类号
0701 ; 070104 ;
摘要
In this paper, we consider a predator-prey model with fear effect and square root functional response. We give the singularity of the origin and discuss the stability and Hopf bifurcation of the trivial equilibrium and the positive equilibrium. We show that the fear effect has no effect on prey density, but will lead to the decrease of predator populations.
引用
收藏
页码:186 / 194
页数:9
相关论文
共 50 条
  • [21] DYNAMICS OF A STOCHASTIC PREDATOR-PREY MODEL WITH FEAR EFFECT AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
    Liu, Meng
    Deng, Meiling
    Ji, Weiming
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025, : 3084 - 3103
  • [22] Hopf bifurcation in a delayed reaction diffusion predator-prey model with weak Allee effect on prey and fear effect on predator
    Wang, Fatao
    Yang, Ruizhi
    Xie, Yining
    Zhao, Jing
    AIMS MATHEMATICS, 2023, 8 (08): : 17719 - 17743
  • [23] Dynamics of cannibalism in the predator in a prey refuge functional response dependent predator-prey model
    Islam, Md Sarijul
    Rahman, Md. Sabiar
    INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS, 2024, 45 : 23 - 44
  • [24] Effect of prey refuge on a harvested predator-prey model with generalized functional response
    Tao, Youde
    Wang, Xia
    Song, Xinyu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) : 1052 - 1059
  • [25] A Predator-Prey Model with Functional Response and Stage Structure for Prey
    Sun, Xiao-Ke
    Huo, Hai-Feng
    Zhang, Xiao-Bing
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [26] Modeling the Allee effect and fear effect in predator-prey system incorporating a prey refuge
    Huang, Ying
    Zhu, Zhenliang
    Li, Zhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [27] Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response
    Salman, S. M.
    Yousef, A. M.
    Elsadany, A. . A.
    CHAOS SOLITONS & FRACTALS, 2016, 93 : 20 - 31
  • [28] A DELAYED PREDATOR-PREY MODEL WITH HOLLING IV FUNCTIONAL RESPONSE AND PREY REFUGE
    Wang, Shufan
    Wang, Wenting
    Liu, Hua
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (03): : 663 - 672
  • [29] The dynamics of a Leslie type predator-prey model with fear and Allee effect
    Vinoth, S.
    Sivasamy, R.
    Sathiyanathan, K.
    Unyong, Bundit
    Rajchakit, Grienggrai
    Vadivel, R.
    Gunasekaran, Nallappan
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [30] SPATIOTEMPORAL DYNAMICS IN A PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE INCREASING IN BOTH PREDATOR AND PREY DENSITIES
    Yang, Ruizhi
    Ding, Yuting
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 1962 - 1979