, Volume 52, Issue 4, pp 419-438
Date: 06 Mar 2006

Global stability in a chemostat with multiple nutrients

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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].

supported in part by NSF grant DMS 0342153.
supported in part by NSF grant DEB-0083566 and the Andrew W. Mellon Foundation.
supported in part by USAF grant F49620-01-1-0063 and NSF grant CCR-0206789.
Part of this work was carried out when P. De Leenheer was a post-doctoral fellow at DIMACS, Rutgers University, supported in part by NSF grant EIA03-331486 and USAF grant F49620-01-1-0063.