Alain Rapaport ; Denis Dochain ; Jérôme Harmand - Practical coexistence in the chemostat with arbitrarily close growth functions

arima:1900 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, September 13, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1900
Practical coexistence in the chemostat with arbitrarily close growth functionsArticle

Authors: Alain Rapaport ; Denis Dochain ; Jérôme Harmand

    We show that the coexistence of different species in competition for a common resource may be substantially long when their growth functions are arbitrarily closed. The transient behavior is analyzed in terms of slow-fast dynamics. We prove that non-dominant species can first increase before decreasing, depending on their initial proportions.


    Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
    Published on: September 13, 2008
    Submitted on: April 3, 2008
    Keywords: persistence, slow-fast dynamics, competition,chémostat,compétition,persistance,dynamiques lente-rapide,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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