Global stability in a chemostat with multiple nutrients

Patrick De Leenheer; Simon Asher Levin; Eduardo D. Sontag; Christopher A. Klausmeier

doi:10.1007/s00285-005-0344-4

Global stability in a chemostat with multiple nutrients

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

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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].

Original language	English (US)
Pages (from-to)	419-438
Number of pages	20
Journal	Journal of mathematical biology
Volume	52
Issue number	4
DOIs	https://doi.org/10.1007/s00285-005-0344-4
State	Published - Apr 2006

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

Access to Document

10.1007/s00285-005-0344-4

Cite this

@article{ef48c03a79eb4cceb6122bb09d93949b,

title = "Global stability in a chemostat with multiple nutrients",

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].",

author = "{De Leenheer}, Patrick and Levin, {Simon Asher} and Sontag, {Eduardo D.} and Klausmeier, {Christopher A.}",

year = "2006",

month = apr,

doi = "10.1007/s00285-005-0344-4",

language = "English (US)",

volume = "52",

pages = "419--438",

journal = "Journal of mathematical biology",

issn = "0303-6812",

publisher = "Springer Verlag",

number = "4",

}

TY - JOUR

T1 - Global stability in a chemostat with multiple nutrients

AU - De Leenheer, Patrick

AU - Levin, Simon Asher

AU - Sontag, Eduardo D.

AU - Klausmeier, Christopher A.

PY - 2006/4

Y1 - 2006/4

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=33645076791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645076791&partnerID=8YFLogxK

U2 - 10.1007/s00285-005-0344-4

DO - 10.1007/s00285-005-0344-4

M3 - Article

C2 - 16521029

AN - SCOPUS:33645076791

SN - 0303-6812

VL - 52

SP - 419

EP - 438

JO - Journal of mathematical biology

JF - Journal of mathematical biology

IS - 4

ER -

Global stability in a chemostat with multiple nutrients

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this