ON THE DYNAMICS OF TWO-CONSUMERS-ONE-RESOURCE COMPETING SYSTEMS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

被引：26
作者：
Hsu, Sze-Bi [1 ,2 ]
Ruan, Shigui [3 ]
Yang, Ting-Hui [4 ]
机构：
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30013, Taiwan
[2] Natl Tsing Hua Univ, Natl Ctr Theoret Sci, Hsinchu 30013, Taiwan
[3] Univ Miami, Dept Math, Coral Gables, FL 33124 USA
[4] Tamkang Univ, Dept Math, New Taipei City 25137, Taiwan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2013年 / 18卷 / 09期
基金：
美国国家科学基金会;
关键词：
Predator-prey system; Beddington-DeAngelis; extinction; uniform persistence; Lyapunov function; global stability; relaxation oscillations; PREDATOR-PREY SYSTEM; INTERFERENCE; COEXISTENCE; CHEMOSTAT; MODELS;
D O I：
10.3934/dcdsb.2013.18.2331
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a two-consumers-one-resource competing system with Beddington-DeAngelis functional response. The two consumers competing for a renewable resource have intraspecific competition among their own populations. Firstly we investigate the extinction and uniform persistence of the predators, local and global stability of the equilibria, and existence of Hopf bifurcation at the positive equilibrium. Then we compare the dynamic behavior of the system with and without interference effects. Analytically we study the competition of two identically species with different interference effects. We also study the relaxation oscillation in the case of interference effects. Finally we present extensive numerical simulations to understand the interference effects on the competition outcomes.
引用
收藏
页码：2331 / 2353
页数：23
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] Dynamical Behavior of a Stochastic Food-Chain System with Beddington-DeAngelis Functional Response
    Ge, Yanming
    Song, Zigen
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [23] Chaos in a three-species food chain model with a Beddington-DeAngelis functional response
    Zhao, Min
    Lv, Songjuan
    CHAOS SOLITONS & FRACTALS, 2009, 40 (05) : 2305 - 2316
  • [24] Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-DeAngelis Functional Response
    Li, Shanbing
    Wu, Jianhua
    Dong, Yaying
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (04): : 849 - 870
  • [25] A stage-structured predator-prey model with Beddington-DeAngelis functional response
    Cai L.
    Yu J.
    Zhu G.
    Journal of Applied Mathematics and Computing, 2008, 26 (1-2) : 85 - 103
  • [26] Bifurcations in diffusive predator-prey systems with Beddington-DeAngelis functional response
    Wang, Zhihui
    Wang, Yuanshi
    NONLINEAR DYNAMICS, 2021, 105 (01) : 1045 - 1061
  • [27] Analysis of a delayed diffusive model with Beddington-DeAngelis functional response
    Meng, Xin-You
    Wang, Jiao-Guo
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (04)
  • [28] Dynamic Behaviors of a Competitive System with Beddington-DeAngelis Functional Response
    Yu, Shengbin
    Chen, Fengde
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
  • [29] GLOBAL DYNAMICS FOR VIRAL INFECTION MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND AN ECLIPSE STAGE OF INFECTED CELLS
    Wang, Jinliang
    Lang, Jiying
    Liu, Xianning
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (09): : 3215 - 3233
  • [30] Dynamics of a stochastic cooperative predator-prey system with Beddington-DeAngelis functional response
    Liu, Xiaoyan
    Wei, Yiqiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 18
12345