The effect of prey refuge in a patchy predator-prey system

被引:27
|
作者
Ma, Zhihui [1 ]
Wang, Shufan [2 ]
Li, Weide [1 ]
Li, Zizhen [1 ]
机构
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Northwest Univ Nationalities, Sch Math & Comp Sci, Lanzhou 730030, Peoples R China
基金
中国国家自然科学基金;
关键词
Patchy predator-prey model; Migration; Prey refuge; Global stability; Limit cycle; POPULATION-DYNAMICS; STABILITY ANALYSIS; MODEL;
D O I
10.1016/j.mbs.2013.02.011
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this work, we proposed a patchy predator-prey model with one patch as refuge and the other as open habitat, and incorporated prey refuge in the considered model explicitly. We applied an analytical approach to study the dynamic consequences of the simplest forms of refuge used by prey and the migration efficiency. The results have shown that the refuge used by prey and the migration efficiency play an important role in the dynamic consequences of the interacting populations and the equilibrium density of two interacting populations. This work also proposed a new approach which can incorporate prey refuge in predator-prey system explicitly. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:126 / 130
页数:5
相关论文
共 50 条
  • [1] A PATCHY PREDATOR-PREY MODEL WITH EFFECT OF PREY REFUGE AND MIGRATION
    Ma, Zhihui
    Wang, Shufan
    Wang, Tingting
    Tang, Haopeng
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (03) : 951 - 962
  • [2] Dynamics of a predator-prey system with prey refuge
    Lajmiri, Zeynab
    Orak, Iman
    Hosseini, Samane
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2019, 7 (03): : 454 - 474
  • [3] Dynamics of a Predator-Prey System with Wind Effect and Prey Refuge
    Takyi, Eric M.
    Cooper, Kasey
    Dreher, Ava
    McCrorey, Caroline
    [J]. JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2023, 12 (03) : 427 - 440
  • [4] A diffusive predator-prey system with prey refuge and predator cannibalism
    Zhang, Yuxuan
    Rong, Xinmiao
    Zhang, Jimin
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (03) : 1445 - 1470
  • [5] Effects of prey refuge and predator cooperation on a predator-prey system
    Jang, Sophia R-J
    Yousef, Ahmed M.
    [J]. JOURNAL OF BIOLOGICAL DYNAMICS, 2023, 17 (01)
  • [6] Effects of the prey refuge distribution on a predator-prey system
    Lee, Sang-Hee
    Kwon, Ohsung
    Song, Hark-Soo
    [J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2016, 68 (06) : 821 - 829
  • [7] The effect of refuge and immigration in a predator-prey system in the presence of a competitor for the prey
    Mukherjee, Debasis
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 31 : 277 - 287
  • [8] Effects of the prey refuge distribution on a predator-prey system
    Sang-Hee Lee
    Ohsung Kwon
    Hark-Soo Song
    [J]. Journal of the Korean Physical Society, 2016, 68 : 821 - 829
  • [9] Predator-prey dynamics with Allee effect in prey refuge
    Longxing Qi
    Lijuan Gan
    Meng Xue
    Sakhone Sysavathdy
    [J]. Advances in Difference Equations, 2015
  • [10] Predator-prey dynamics with Allee effect in prey refuge
    Qi, Longxing
    Gan, Lijuan
    Xue, Meng
    Sysavathdy, Sakhone
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,