Long run coexistence in the chemostat with multiple species.
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.
Rapaport
Alain
A
UMR Analyse des Systèmes et Biométrie, INRA, Montpellier, France. rapaport@supagro.inra.fr
Dochain
Denis
D
Harmand
Jérôme
J
D000818:Animals; D003163:Competitive Behavior; D003198:Computer Simulation; D017753:Ecosystem; D008954:Models, Biological; D011157:Population Dynamics; D013045:Species Specificity