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Long run coexistence in the chemostat with multiple species |
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| Authors: | Alain Rapaport,Denis Dochain,Jé rô me Harmand |
| Affiliation: | a UMR Analyse des Systèmes et Biométrie, INRA, 2 place Viala, 34090 Montpellier, France b CESAME, Université Catholique de Louvain, 4-6 avenue G. Lema?ˆtre, 1348 Louvain-la-Neuve, Belgium c Laboratoire de Biotechnologies de l’Environnement, INRA, Avenue des étangs, 11100 Narbonne, France |
| 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. |
| Keywords: | Chemostat Competition Persistence Slow-fast dynamics |
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