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Coexistence and stability of an unstirred chemostat model with Beddington–DeAngelis function

✍ Scribed by Yan’e Wang; Jianhua Wu; Gaihui Guo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
289 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper deals with an unstirred chemostat model with the Beddington-DeAngelis functional response. First, a sufficient condition to the existence of positive steady state solutions is established. Second, the effect of the parameter β 1 in the Beddington-DeAngelis functional response which models mutual interference between species u is considered.

The result shows that if β 1 is sufficiently large, the solution of this model is determined by a limiting equation. The main tool used here includes the fixed point index theory, the perturbation technique and the bifurcation theory.

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