2003-40: Global stability in a chemostat with multiple nutrients

DIMACS TR: 2003-40

Global stability in a chemostat with multiple nutrients

Authors: Patrick De Leenheer, Simon A. Levin, Eduardo D. Sontag and 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 previous result by Legovi{\'c} and Cruzado.

Paper available at ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/2003/2003-40.ps.gz

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