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Effects of spatial structure and diffusion on the performances of the chemostat

Abstract : Given hydric capacity and nutrient flow of a chemostat-like system, we analyse the influence of a spatial structure on the output concentrations at steady-state. Three configurations are compared: perfectly-mixed, serial and parallel with diffusion rate. We show the existence of a threshold on the input concentration of nutrient for which the benefits of the serial and parallel configurations over the perfectly-mixed one are reversed. In addition, we show that the dependency of the output concentrations on the diffusion rate can be non-monotonic, and give precise conditions for the diffusion effect to be advantageous. The study encompasses dead-zone models
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https://hal.archives-ouvertes.fr/hal-00536647
Contributor : Alain Rapaport <>
Submitted on : Tuesday, November 16, 2010 - 4:11:01 PM
Last modification on : Thursday, September 17, 2020 - 10:12:01 AM
Long-term archiving on: : Thursday, February 17, 2011 - 3:03:31 AM

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Alain Rapaport, Ihab Haidar, Frédéric Gérard. Effects of spatial structure and diffusion on the performances of the chemostat. Mathematical Biosciences and Engineering, AIMS Press, 2011, 8 (4), pp.953-971. ⟨10.3934/mbe.2011.8.953⟩. ⟨hal-00536647⟩

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