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
来源：
AnnalsofAppliedMathematics | 2020年 / 36卷 / 02期
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
  • [41] Stability and Hopf bifurcation of a modified predator-prey model with a time delay and square root response function
    Zhu, Xinyu
    Dai, Yunxian
    Li, Qinglian
    Zhao, Kaihong
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [42] Delay induced multiple stability switch and chaos in a predator-prey model with fear effect
    Panday, Pijush
    Samanta, Sudip
    Pal, Nikhil
    Chattopadhyay, Joydev
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 172 : 134 - 158
  • [43] Survival analysis of a stochastic predator-prey model with prey refuge and fear effect
    Xia, Yixiu
    Yuan, Sanling
    JOURNAL OF BIOLOGICAL DYNAMICS, 2020, 14 (01) : 871 - 892
  • [44] Role of Fear in a Predator-Prey Model with Beddington-DeAngelis Functional Response
    Pal, Saheb
    Majhi, Subrata
    Mandal, Sutapa
    Pal, Nikhil
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2019, 74 (07): : 581 - 595
  • [45] Dynamics of a stochastic delay predator-prey model with fear effect and diffusion for prey
    Wang, Qiufen
    Zhang, Shuwen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
  • [46] Stability of a predator-prey model with refuge effect
    Kapcak, S.
    Elaydi, S.
    Ufuktepe, U.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2016, 22 (07) : 989 - 1004
  • [47] Stability and spatiotemporal dynamics in a diffusive predator-prey model with nonlocal prey competition and nonlocal fear effect
    Du, Yanfei
    Sui, Mengting
    CHAOS SOLITONS & FRACTALS, 2024, 188
  • [48] Bifurcation Analysis of a Predator-Prey Model with Allee Effect and Fear Effect in Prey and Hunting Cooperation in Predator
    Umrao, Anuj Kumar
    Srivastava, Prashant K.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2023,
  • [49] Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey
    Zhu, Zhenliang
    Chen, Yuming
    Chen, Fengde
    Li, Zhong
    JOURNAL OF BIOLOGICAL DYNAMICS, 2023, 17 (01)
  • [50] Influence of fear in a ratio-dependent predator-prey model
    Ali, Nijamuddin
    INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS, 2022, 43 (02) : 86 - 97
12345