De Leenheer P, Levin SA, Sontag ED, Klausmeier CA. Global stability in a chemostat with multiple nutrients.
J Math Biol 2006;
52:419-38. [PMID:
16521029 DOI:
10.1007/s00285-005-0344-4]
[Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2003] [Revised: 11/30/2004] [Indexed: 11/30/2022]
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].
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