Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor

被引：21
|
作者：
Nie, Hua [1 ]
Wu, Jianhua [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Chemostat; Beddington-DeAngelis(B.-D.) functional response; Coexistence solution; Perturbation theory; REACTION-DIFFUSION EQUATIONS; PLASMID-FREE ORGANISMS; POSITIVE SOLUTIONS; COMPETITION MODEL; BIFURCATION; BEARING; PERTURBATION; MULTIPLICITY; UNIQUENESS; RESOURCES;
D O I：
10.1016/j.nonrwa.2010.01.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a N-dimensional competition model between plasmid-bearing and plasmid-free organisms in the unstirred chemostat, which incorporates the Beddington-DeAngelis functional response and inhibitor. By the application of degree theory in cones, bifurcation theory and perturbation technique, we obtain the uniqueness, multiplicity and stability of the coexistence solutions of the steady-state system when the effects of the inhibitor is large enough. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：3639 / 3652
页数：14
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