title: Long run coexistence in the chemostat with multiple species.
abstract: In this work we analyze the transient behavior of the dynamics of multiple species competing in a chemostat for a single resource, presenting slow/fast characteristics. We prove that coexistence among a subset of species, with growth functions close to each other, can last for a substantially long time. For these cases, we also show that the proportion of non-dominant species can be increasing before decreasing, under certain conditions on the initial distribution.
authors.affiliation: UMR Analyse des Systèmes et Biométrie, INRA, Montpellier, France. rapaport@supagro.inra.fr
authors.forename: Alain
authors.initials: A
authors.lastname: Rapaport
authors.forename: Denis
authors.initials: D
authors.lastname: Dochain
authors.forename: Jérôme
authors.initials: J
authors.lastname: Harmand
mesh_terms: D000818:Animals; D003163:Competitive Behavior; D003198:Computer Simulation; D017753:Ecosystem; D008954:Models, Biological; D011157:Population Dynamics; D013045:Species Specificity