Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-DeAngelis Functional Response

被引：4

作者：

Li, Shanbing ^{[1
]}

Wu, Jianhua ^{[1
]}

Dong, Yaying ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

[2] Northwest Univ Xian, Sch Math, Xian 710069, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 04期

关键词：

Chemostat; Double eigenvalue; Bifurcation; Stability; HOMOGENEOUS DIRICHLET CONDITIONS; REACTION-DIFFUSION EQUATIONS; MATHEMATICAL-MODEL; STEADY-STATES; COMPETITION; COEXISTENCE; INHIBITOR; SYSTEM; EIGENVALUE;

D O I：

10.11650/tjm.20.2016.5482

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a basic N-dimensional competition model in the unstirred chemostat with Beddington-DeAngelis functional response. The bifurcation solutions from a simple eigenvalue and a double eigenvalue are obtained respectively. In particular, for the double eigenvalue, we establish the existence and stability of coexistence solutions by the techniques of space decomposition and Lyapunov-Schmidt procedure. Moreover, we describe the global structure of these bifurcation solutions.

引用

页码：849 / 870

页数：22

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