Literature DB >> 17505828

Global dynamics of microbial competition for two resources with internal storage.

Bingtuan Li1, Hal L Smith.   

Abstract

We study a chemostat model that describes competition between two species for two essential resources 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 monotone dynamical system theory. It is shown that the limiting system of the model basically exhibits the familiar Lotka-Volterra alternatives: competitive exclusion, coexistence, and bi-stability, and most of these results can be carried over to the original model.

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Year:  2007        PMID: 17505828     DOI: 10.1007/s00285-007-0092-8

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  5 in total

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5.  Global stability in a chemostat with multiple nutrients.

Authors:  Patrick De Leenheer; Simon A Levin; Eduardo D Sontag; Christopher A Klausmeier
Journal:  J Math Biol       Date:  2006-03-06       Impact factor: 2.164

  5 in total
  3 in total

1.  Extinction times and size of the surviving species in a two-species competition process.

Authors:  A Gómez-Corral; M López García
Journal:  J Math Biol       Date:  2011-02-27       Impact factor: 2.259

2.  Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat.

Authors:  Sze-Bi Hsu; King-Yeung Lam; Feng-Bin Wang
Journal:  J Math Biol       Date:  2017-05-11       Impact factor: 2.259

3.  Global dynamics of a mutualism-competition model with one resource and multiple consumers.

Authors:  Yuanshi Wang; Hong Wu; Donald L DeAngelis
Journal:  J Math Biol       Date:  2018-09-04       Impact factor: 2.259

  3 in total

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