About the modelling of Flocculation in the Chemostat

Alain Rapaport (1, 2) , Tewfik Sari (1, 2, 3) , Claude Lobry (1) , Jérôme Harmand (1, 4)

1 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
2 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
3 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]
4 LBE - Laboratoire de Biotechnologie de l'Environnement [Narbonne]

In this work, we study a model of the chemostat where the species are present in two forms, isolated bacteria, and flocks of bacteria. We show that our model contains a lot of models which was considered in the litterature. We assume that the dynamics of flocculation and deflocculation are fast with respect to the growth of the species and we consctruct a reduced model for which the growth functions depend on the density of the species.

Mots clés: Chemostat; density dependent growth functions; flocculation

Domaines: Systèmes dynamiques [math.DS]

Alain Rapaport, Tewfik Sari, Claude Lobry, Jérôme Harmand. About the modelling of Flocculation in the Chemostat. 2011. ⟨hal-00604633v1⟩