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
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