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Journal Articles Mathematical Biosciences Year : 2009

Practical coexistence of two species in the chemostat - A slow-fast characterization

Miled El Hajji

Abstract

We show that the chemostat model with two species having different but close break-even concentrations exhibits a slow-fast dynamics. Considering small perturbations about the dilution rate for which break-even concentrations are identical, we use the Fenichel theory to show the coexistence of species for large times. Then we determine the reduced dynamics, which is non-trivial and characterized by the slopes of the growth functions about their break-even concentrations.

Dates and versions

hal-00858543 , version 1 (05-09-2013)

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Miled El Hajji, Alain Rapaport. Practical coexistence of two species in the chemostat - A slow-fast characterization. Mathematical Biosciences, 2009, 218 (1), pp.33-39. ⟨10.1016/j.mbs.2008.12.003⟩. ⟨hal-00858543⟩
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