Literature DB >> 16521029

Global stability in a chemostat with multiple nutrients.

Patrick De Leenheer1, Simon A Levin, Eduardo D Sontag, Christopher A Klausmeier.   

Abstract

We study a single species in a chemostat, limited by two nutrients, and separate nutrient uptake from growth. For a broad class of uptake and growth functions it is proved that a nontrivial equilibrium may exist. Moreover, if it exists it is unique and globally stable, generalizing a result in [15].

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Year:  2006        PMID： 16521029     DOI： 10.1007/s00285-005-0344-4

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.164


  8 in total

1.  Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient.

Authors:  S R Jang; J Baglama
Journal:  Math Biosci       Date:  2000-03       Impact factor: 2.144

2.  Periodic coexistence in the chemostat with three species competing for three essential resources.

Authors:  B Li
Journal:  Math Biosci       Date:  2001-11       Impact factor: 2.144

3.  Competition between two species for two complementary or substitutable resources.

Authors:  J A León; D B Tumpson
Journal:  J Theor Biol       Date:  1975-03       Impact factor: 2.691

4.  Periodic coexistence of four species competing for three essential resources.

Authors:  Bingtuan Li; Hal L Smith
Journal:  Math Biosci       Date:  2003-08       Impact factor: 2.144

5.  Optimal nitrogen-to-phosphorus stoichiometry of phytoplankton.

Authors:  Christopher A Klausmeier; Elena Litchman; Tanguy Daufresne; Simon A Levin
Journal:  Nature       Date:  2004-05-13       Impact factor: 49.962

6.  Chaos in a periodically forced chemostat with algal mortality.

Authors:  Sébastien Clodong; Bernd Blasius
Journal:  Proc Biol Sci       Date:  2004-08-07       Impact factor: 5.349

7.  The attractiveness of the Droop equations.

Authors:  K Lange; F J Oyarzun
Journal:  Math Biosci       Date:  1992-10       Impact factor: 2.144

8.  Resource competition and community structure.

Authors:  D Tilman
Journal:  Monogr Popul Biol       Date:  1982
  8 in total
  2 in total

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

Authors:  Bingtuan Li; Hal L Smith
Journal:  J Math Biol       Date:  2007-05-16       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
  2 in total

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