Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment

Maria Crespo (1) , Alain Rapaport (2)

1 UPM - Universidad Politécnica de Madrid
2 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

We consider the chemostat model with a side compartment connected by pure diffusion, and analyze its asymptotic properties. We investigate conditions under which this spatial structure is beneficial for species survival and conversion yield, compared to single chemostat. Under these conditions, we study the optimization problem for the best structure (volume distribution and diffusion rate), which minimizes the volume required to attain a desired conversion yield. The analysis reveals that particular configurations with a single tank connected by diffusion to the input stream can be the most efficient.

Mots clés: conversion yield; chemostat model; stability; optimal design; compartments

Domaines: Optimisation et contrôle [math.OC]; Biotechnologie; Ecologie, Environnement

Maria Crespo, Alain Rapaport. Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment. Journal of Optimization Theory and Applications, 2020, 185, pp.597-621. ⟨10.1007/s10957-020-01665-2⟩. ⟨hal-02513979⟩