Chemostat model under periodic dilution rate with a prescribed mean value

Alain Rapaport (1)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

We compare strategies that bring the same amount of nutrient over a given period, in terms of mean value of the biomass density over a periodic solution, and show how it can discriminate between growth functions. The objectives of this study are twofold: 1. from an ecological view-point, determine if periodic fluctutations over or under estimate the average biomass density compared to the steady state, 2. from an biotechnological view-point, characterize the feeding strategies improving at best the average water quality.

Mots clés: chemostat; periodic solution; overyielding; optimal control

Domaines: Biodiversité et Ecologie; Systèmes dynamiques [math.DS]

Alain Rapaport. Chemostat model under periodic dilution rate with a prescribed mean value. Workshop on Mathematics for Complex Microbial Systems, The Fields Institute, May 2018, Toronto, Canada. ⟨hal-01790595⟩