Journal of Mathematical Biology

, Volume 52, Issue 4, pp 419–438

Global stability in a chemostat with multiple nutrients

  • Patrick De Leenheer
  • Simon A. Levin
  • Eduardo D. Sontag
  • Christopher A. Klausmeier
Article

DOI: 10.1007/s00285-005-0344-4

Cite this article as:
De Leenheer, P., Levin, S., Sontag, E. et al. J. Math. Biol. (2006) 52: 419. doi:10.1007/s00285-005-0344-4

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].

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Patrick De Leenheer
    • 1
  • Simon A. Levin
    • 2
  • Eduardo D. Sontag
    • 3
  • Christopher A. Klausmeier
    • 4
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA
  2. 2.Princeton UniversityUSA
  3. 3. RutgersUSA
  4. 4.Georgia Institute of TechnologyUSA