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Discrete and Continuous Dynamical Systems - Series B
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License: CC BY
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Discrete and Continuous Dynamical Systems - Series B
Article . 2004 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.3934/dcd...
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Data sources: Microsoft Academic Graph
https://dx.doi.org/10.3934/dcd...
Article
Data sources: Microsoft Academic Graph
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The asymptotic behavior of a chemostat model

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems - B, volume 4, pages 721-727 (issn: 1531-3492, eissn: 1553-524X, Copyright policy )
Authors: Zhipeng Qiu; Jun Yu; Yun Zou;

doi: 10.3934/dcdsb.2004.4.721

The asymptotic behavior of a chemostat model

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Top 10%
gold