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arXiv · 1011.3742

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

Alain Rapaport·Ihab Haidar
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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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Alain Rapaport, Ihab Haidar. 2010-11-16. Effects of spatial structure and diffusion on the performances of the chemostat. https://arxiv.org/abs/1011.3742

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