Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses - Agropolis Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2015

Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses

Résumé

We consider a model of two microbial species in a chemostat competing for a single-resource, involving the floc-culation of the most competitive species which is present in two forms: isolated and attached. We first show that the model with one species and a non-monotonic growth rate of isolated bacteria may exhibit bi-stability and allows the appearance of unstable limit cycles through a sub-critical Hopf bifurcations due to the joined effect of inhibition and flocculation. We then show that the model with two species presents an even richer set of possible behaviors: coexistence, bi-stability and occurrence of stable limit cycles through a super-critical Hopf bifurcations. All these features cannot occur in the classical chemostat model, where generically at most one competitor can survive on a single resource.
Fichier principal
Vignette du fichier
Elsarticle-FRS-HAL.pdf (1.29 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01121201 , version 1 (27-02-2015)

Identifiants

  • HAL Id : hal-01121201 , version 1

Citer

Radhouane Fekih-Salem, Alain Rapaport, Tewfik Sari. Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses. 2015. ⟨hal-01121201⟩
266 Consultations
340 Téléchargements

Partager

Gmail Facebook X LinkedIn More