title: Practical coexistence of two species in the chemostat - a slow-fast characterization.
abstract: We show that the chemostat model with two species having different but close break-even concentrations exhibits a slow-fast dynamics. Considering small perturbations about the dilution rate for which break-even concentrations are identical, we use the Fenichel theory to show the coexistence of species for large times. Then we determine the reduced dynamics, which is non-trivial and characterized by the slopes of the growth functions about their break-even concentrations.
authors.affiliation: UMR Analyse des Systèmes et Biométrie, INRA, 2 Place Viala, 34060 Montpellier Cedex, France.
authors.forename: Miled
authors.initials: M
authors.lastname: El Hajji
authors.forename: Alain
authors.initials: A
authors.lastname: Rapaport
mesh_terms: D001419:Bacteria / Q000254:growth & development*; D001431:Bacteriological Techniques; D008954:Models, Biological