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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Conference papers
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https://hal.archives-ouvertes.fr/hal-01001373
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Submitted on : Wednesday, June 4, 2014 - 3:19:12 PM
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  • HAL Id : hal-01001373, version 1

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Ihab Haidar, Alain Rapaport, Frederic Gerard. Effects of spatial structure and diffusion on the performances of the chemostat. STIC Environnement, May 2011, saint-Etienne, France. pp.87-100. ⟨hal-01001373⟩

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