Stability loss delay in the chemostat with a slowly varying washout rate

Claude Lobry 1 Alain Rapaport 2 Tewfik Sari 2
1 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : In this paper, we propose to study a model with two competitors competing for a single nutrient in a chemostat with a slowly varying washout rate. We show that the model exhibits the delayed loss of stability phenomenon when the washout rate crosses the bifurcation value at which the growth curves of the two competitors intersect.
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Conference papers
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Submitted on : Monday, July 7, 2014 - 10:48:15 AM
Last modification on : Wednesday, November 7, 2018 - 11:10:06 PM

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Claude Lobry, Alain Rapaport, Tewfik Sari. Stability loss delay in the chemostat with a slowly varying washout rate. MATHMOD 2009: 6th Vienna International Conference on Mathematical Modelling, Feb 2009, Vienna, Austria. pp.1582-1586. ⟨hal-01019296⟩

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