Effects of spatial structure and diffusion on the performances of the chemostat
Dynamical Systems
2010-11-17 v1
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
Cite
@article{arxiv.1011.3742,
title = {Effects of spatial structure and diffusion on the performances of the chemostat},
author = {Alain Rapaport and Ihab Haidar},
journal= {arXiv preprint arXiv:1011.3742},
year = {2010}
}