Analysis of a predator-prey system with predator switching

被引：40
|
作者：
Khan, QJA
Balakrishnan, E
Wake, GC
机构：
[1] Univ Canterbury, Dept Math & Stat, Christchurch, New Zealand
[2] Sultan Qaboos Univ, Coll Sci, Dept Math & Stat, Al Khoud, Oman
来源：
BULLETIN OF MATHEMATICAL BIOLOGY | 2004年 / 66卷 / 01期
关键词：
D O I：
10.1016/j.bulm.2003.08.005
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we consider an interaction of prey and predator species where prey species have the ability of group defence. Thresholds, equilibria and stabilities are determined for the system of ordinary differential equations. Taking carrying capacity as a bifurcation parameter, it is shown that a Hopf bifurcation can occur implying that if the carrying capacity is made sufficiently large by enrichment of the environment, the model predicts the eventual extinction of the predator providing strong support for the so-called 'paradox of enrichment'. (C) 2003 Society for Mathematical Biology. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：109 / 123
页数：15
相关论文
共 50 条
  • [31] Geometrical and Numerical Analysis of Predator-Prey System Based on the Allee Effect in Predator
    Gupta, M. K.
    Sahu, Abha
    Yadav, C. K.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024, 34 (03):
  • [32] Invasion Speed of the Prey in a Predator-Prey System
    Pan, Shuxia
    Lin, Guo
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 3983 - 3990
  • [33] Dynamics of a predator-prey system with prey refuge
    Lajmiri, Zeynab
    Orak, Iman
    Hosseini, Samane
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2019, 7 (03): : 454 - 474
  • [34] A predator-prey system with a stage structure for the prey
    Cui, Jing'an
    Takeuchi, Yasuhiro
    MATHEMATICAL AND COMPUTER MODELLING, 2006, 44 (11-12) : 1126 - 1132
  • [35] Extinction and permanence of the predator-prey system with stocking of prey and harvesting of predator impulsively
    Dong, LZ
    Chen, LS
    Sun, LH
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2006, 29 (04) : 415 - 425
  • [36] Revealing the role of predator interference in a predator-prey system with disease in prey population
    Chakraborty, Subhendu
    Kooi, Bob W.
    Biswas, Barasha
    Chattopadhyay, J.
    ECOLOGICAL COMPLEXITY, 2015, 21 : 100 - 111
  • [37] Effects of a disease affecting a predator on the dynamics of a predator-prey system
    Auger, Pierre
    Mchich, Rachid
    Chowdhury, Tanmay
    Sallet, Gauthier
    Tchuente, Maurice
    Chattopadhyay, Joydev
    JOURNAL OF THEORETICAL BIOLOGY, 2009, 258 (03) : 344 - 351
  • [38] Effect of predator density dependent dispersal of prey on stability of a predator-prey system
    Mchich, Rachid
    Auger, Pierre
    Poggiale, Jean-Christophe
    MATHEMATICAL BIOSCIENCES, 2007, 206 (02) : 343 - 356
  • [39] The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator
    Zhang, SW
    Dong, LZ
    Chen, LS
    CHAOS SOLITONS & FRACTALS, 2005, 23 (02) : 631 - 643
  • [40] Periodic solutions of a predator-prey system with stage-structures for predator and prey
    Zhang, ZQ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 302 (02) : 291 - 305
12345