Spatiotemporal dynamics of a delayed diffusive ratio-dependent predator-prey model with fear effect

被引：26
|
作者：
Zhang, Xuebing [1 ]
An, Qi [1 ]
Wang, Ling [2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Peoples R China
[2] Nanjing Vocat Univ Ind Technol, Nanjing 210000, Peoples R China
来源：
NONLINEAR DYNAMICS | 2021年 / 105卷 / 04期
基金：
美国国家科学基金会;
关键词：
Diffusion; Fear effect; Turing-Hopf bifurcation; Predator-prey model; PATTERN-FORMATION; BIFURCATION; SYSTEMS;
D O I：
10.1007/s11071-021-06780-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
By considering that there is a delay on the impact of fear to the growth rate of prey, we consider a delayed diffusive predator-prey model with fear effect. First, we give some conditions of the existence of the equilibria. Then, sufficient conditions for the occurrence of Turing, Hopf and Turing-Hopf bifurcation are also obtained. Furthermore, the global asymptotic stability of the positive equilibrium is studied. Finally, some numerical simulations are presented to verify our theoretical results. It shows that the system has various spatiotemporal patterns induced by delay.
引用
收藏
页码：3775 / 3790
页数：16
相关论文
共 50 条
  • [31] Invasion Traveling Waves for a Discrete Diffusive Ratio-Dependent Predator-Prey Model
    Su, Tao
    Zhang, Guobao
    ACTA MATHEMATICA SCIENTIA, 2020, 40 (05) : 1459 - 1476
  • [32] Invasion Traveling Waves for a Discrete Diffusive Ratio-Dependent Predator-Prey Model
    Tao Su
    Guobao Zhang
    Acta Mathematica Scientia, 2020, 40 : 1459 - 1476
  • [33] Effect of toxicant on the dynamics of a delayed diffusive predator-prey model
    Zhu, Honglan
    Zhang, Xuebing
    Wang, Guanglan
    Wang, Ling
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) : 355 - 379
  • [34] Effect of toxicant on the dynamics of a delayed diffusive predator-prey model
    Honglan Zhu
    Xuebing Zhang
    Guanglan Wang
    Ling Wang
    Journal of Applied Mathematics and Computing, 2023, 69 : 355 - 379
  • [35] GLOBAL STABILITY OF A DELAYED RATIO-DEPENDENT PREDATOR-PREY MODEL WITH GOMPERTZ GROWTH FOR PREY
    Zhang, Shihua
    Xu, Rui
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (01): : 28 - 37
  • [36] Positive Coexistence of Steady States for a Diffusive Ratio-Dependent Predator-Prey Model with an Infected Prey
    Kim, Kwangjoong
    Ahn, Inkyung
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [37] Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting
    Gao, Xiaoyan
    Ishag, Sadia
    Fu, Shengmao
    Li, Wanjun
    Wang, Weiming
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 51
  • [38] SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH GENERALIST PREDATOR
    Bai, Dingyong
    Yu, Jianshe
    Kang, Yun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (11): : 2949 - 2973
  • [39] Spatiotemporal dynamics of a diffusive predator-prey model with delay and Allee effect in predator
    Liu, Fang
    Du, Yanfei
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (11) : 19372 - 19400
  • [40] Global dynamics of a ratio-dependent predator-prey system
    Xiao, DM
    Ruan, SG
    JOURNAL OF MATHEMATICAL BIOLOGY, 2001, 43 (03) : 268 - 290
12345