On the stability of periodic solutions in the perturbed chemostat

We study the chemostat model for one species competing for onenutrient using a Lyapunov-type analysis. We design the dilution ratefunction so that all solutions of the chemostat converge to aprescribed periodic solution. In terms of chemostat biology, this means that no matter whatpositive initial l...

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Bibliographic Details
Main Authors: Frédéric Mazenc, Michael Malisoff, Patrick D. Leenheer
Format: Article
Language:English
Published: AIMS Press 2007-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.319
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