# American Institute of Mathematical Sciences

August  2004, 4(3): 721-727. doi: 10.3934/dcdsb.2004.4.721

## The asymptotic behavior of a chemostat model

 1 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China, China 2 Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China

Received  October 2002 Revised  January 2004 Published  May 2004

In this paper, the Chemostat model with stage-structure and the Beddington-DeAngelies functional responses is studied. Sufficient conditions for uniform persistence of this model with delay are obtained via uniform persistence of infinite dimensional dynamical systems; and for the model without delay, sufficient conditions for the global asymptotic stability of the positive equilibrium are presented.
Citation: Zhipeng Qiu, Jun Yu, Yun Zou. The asymptotic behavior of a chemostat model. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 721-727. doi: 10.3934/dcdsb.2004.4.721
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