The asymptotic behavior of a chemostat model

Zhipeng Qiu; Jun Yu; Yun Zou

doi:10.3934/dcdsb.2004.4.721

Article Contents

2004, Volume 4, Issue 3: 721-727. Doi: 10.3934/dcdsb.2004.4.721

This issue Previous Article A general dynamical theory of foraging in animals Next Article Stability analysis of a simplified model for the control of testosterone secretion

The asymptotic behavior of a chemostat model

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

Received: September 30, 2002

Revised: December 31, 2003

Published: July 2005

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: 92D25.

Citation:

Article Metrics

HTML views() PDF downloads(120) Cited by(0)

The asymptotic behavior of a chemostat model

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The asymptotic behavior of a chemostat model

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content