Global stability in a chemostat with multiple nutrients

Journal of Mathematical Biology
Patrick De LeenheerChristopher 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].

References

Mar 1, 1975·Journal of Theoretical Biology·J A León, D B Tumpson
Oct 1, 1992·Mathematical Biosciences·K Lange, F J Oyarzun
Jun 1, 1994·Mathematical Biosciences·F J Oyarzun, K Lange
Dec 1, 1993·Mathematical Biosciences·M M Ballyk, G S Wolkowicz
Feb 7, 1997·Cell·P J Follette, P H O'Farrell
Mar 8, 2000·Mathematical Biosciences·S R Jang, J Baglama
Jul 2, 2003·Mathematical Biosciences·Bingtuan Li, Hal L Smith
May 14, 2004·Nature·Christopher A KlausmeierSimon A Levin
Jul 10, 2004·Proceedings of the National Academy of Sciences of the United States of America·David Tilman
Aug 13, 2004·Proceedings. Biological Sciences·Sébastien Clodong, Bernd Blasius
Jan 1, 1982·Oecologia·B D Woodward

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Citations

May 17, 2007·Journal of Mathematical Biology·Bingtuan Li, Hal L Smith
Jul 13, 2006·Bulletin of Mathematical Biology·Junling Ma, Simon A Levin
Feb 13, 2007·Journal of Theoretical Biology·C A KlausmeierS A Levin
Aug 29, 2020·PLoS Computational Biology·Zhiyuan LiNed S Wingreen
May 13, 2017·Journal of Mathematical Biology·Sze-Bi HsuFeng-Bin Wang

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