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