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.
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Alain Rapaport, Denis Dochain, Jérôme Harmand. Long run coexistence in the chemostat with multiple species. Journal of Theoretical Biology, Elsevier, 2009, 257 (2), pp.252-259. ⟨10.1016/j.jtbi.2008.11.015⟩. ⟨hal-00554535⟩

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