Long run coexistence in the chemostat with multiple species

JOURNAL OF THEORETICAL BIOLOGY

卷:257

Article

Rapaport, Alain¹  Dochain, Denis²  Harmand, Jerome³ 

[1] INRA, UMR Anal Syst & Biometrie, F-34090 Montpellier, France

[2] Univ Catholique Louvain, CESAME, B-1348 Louvain, Belgium

[3] INRA, Lab Biotechnol Environm, F-11100 Narbonne, France

关键词: Chemostat;    Competition;    Persistence;    Slow-fast dynamics;   

DOI  :  10.1016/j.jtbi.2008.11.015

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free