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The asymptotic behavior of a Chemostat model with Crowley-Martin type functional response and time delays.

Authors :
Dong, Qinglai
Ma, Wanbiao
Sun, Mingjuan
Source :
Journal of Mathematical Chemistry. May2013, Vol. 51 Issue 5, p1231-1248. 18p.
Publication Year :
2013

Abstract

In this paper, we introduce an improved Chemostat model with Crowley-Martin type functional response and time delays. By constructing Lyapunov functionals, the global asymptotic stability of the equilibria is shown in the case of a single species. The conditions for the global asymptotical stability of the model with time delays are obtained via monotone dynamical systems in the case of two species. Our results demonstrate that the effects of predator interference may result in coexistence of two species. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02599791
Volume :
51
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Mathematical Chemistry
Publication Type :
Academic Journal
Accession number :
86727636
Full Text :
https://doi.org/10.1007/s10910-012-0138-z