## Taiwanese Journal of Mathematics

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

#### Abstract

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.

#### Article information

Source
Taiwanese J. Math., Volume 20, Number 4 (2016), 849-870.

Dates
First available in Project Euclid: 1 July 2017

https://projecteuclid.org/euclid.twjm/1498874494

Digital Object Identifier
doi:10.11650/tjm.20.2016.5482

Mathematical Reviews number (MathSciNet)
MR3535677

Zentralblatt MATH identifier
1357.35265

#### Citation

Li, Shanbing; Wu, Jianhua; Dong, Yaying. Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-DeAngelis Functional Response. Taiwanese J. Math. 20 (2016), no. 4, 849--870. doi:10.11650/tjm.20.2016.5482. https://projecteuclid.org/euclid.twjm/1498874494

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