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SIAMAM
2008

Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage

8 years 11 months ago
Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage
We study a chemostat model that describes competition between n microbial species for a single-limited resource based on storage. The model incorporates internal resource storage variables that serve the direct connection between species growth and external resource availability. Mathematical analysis for the global dynamics of the model is carried out by using the fluctuating method. It is shown that competitive exclusion principle holds for the limiting system of the model. The species with the smallest ambient nutrient concentration wins the competition. We extend the result of competitive exclusion in the paper [SW1] from two species to n species. Key words. chemostat, single-limited resource, competition, competitive exclusion, fluctuating lemma AMS subject classifications. 92A15
Sze-Bi Hsu, Ting-Hao Hsu
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where SIAMAM
Authors Sze-Bi Hsu, Ting-Hao Hsu
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