Article

Journal of Mathematical Biology

, Volume 52, Issue 4, pp 419-438

First online:

Global stability in a chemostat with multiple nutrients

  • Patrick De LeenheerAffiliated withDepartment of Mathematics, University of Florida Email author 
  • , Simon A. LevinAffiliated withPrinceton University
  • , Eduardo D. SontagAffiliated with 
  • , Christopher A. KlausmeierAffiliated withGeorgia Institute of Technology

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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].