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Analysis of a model of flocculation in the chemostat

Abstract : A model of the chemostat involving planktonic and attached bacteria competing for a single nutrient is considered. We study this flocculation model with monotonic growth rates and same removal rates. We show that this model has at most one positive steady state that is stable as long as it exists where planktonic and attached bacteria can coexist. According to control parameters, the operating diagram illustrates the washout and coexistence regions that depend only on the growth rate of planktonic bacteria. Indeed, flocculation process affects only the density of isolated and attached bacteria at steady state.
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https://hal.archives-ouvertes.fr/hal-01766009
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  • HAL Id : hal-01766009, version 1
  • IRSTEA : PUB00056186

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T. Sari, R. Fekih Salem. Analysis of a model of flocculation in the chemostat. 8ème colloque - Tendances dans les Applications Mathématiques en Tunisie, Algérie et Maroc, May 2017, Hammamet, Tunisia. pp.75-80. ⟨hal-01766009⟩

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