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Mathematical Biosciences and Engineering
Article . 2006 . Peer-reviewed
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Mathematical Biosciences and Engineering
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Mathematical Biosciences & Engineering
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Mathematical Biosciences and Engineering
Article . 2005
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https://dx.doi.org/10.3934/mbe...
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A competition model of the chemostat with an external inhibitor

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Mathematical Biosciences and Engineering, volume 3, pages 111-123 (issn: 1551-0018, Copyright policy )
Authors: Jianquan Li; Zuren Feng; Juan Zhang; Jie Lou;

doi: 10.3934/mbe.2006.3.111

pmid: 20361812

A competition model of the chemostat with an external inhibitor

Abstract

A competition model of the chemostat with an external inhibitor is considered. This inhibitor is lethal to one competitor and results in the decrease of growth rate of this competitor. The existence and stability of the extinction equilibria are discussed by using Liapunov function. The necessary and sufficient condition guaranteeing the existence of the interior equilibrium is given. It is found by numerical simulation that the system may be globally stable or have a stable limit cycle if the interior equilibrium exists.

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Keywords

chemostat, QA1-939, limit cycle., stability, competition, TP248.13-248.65, Mathematics, Biotechnology

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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!
1
Average
Average
Average
gold