Stochastic models for the chemostat

Abstract : The chemostat is classically represented, at high population scale, as a system of ordinary differential equations. Our goal is to establish a set of stochastic models that are valid at different scales: from the small population scale to the scale immediately preceding the one corresponding to the deterministic model. At a microscopic scale we present a pure jump stochastic model that gives rise, at the macroscopic scale, to the ordinary differential equation model. At an intermediate scale, an approximation diffusion allows us to propose a model in the form of a system of stochastic differential equations.
Type de document :
Communication dans un congrès
4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN11), May 2011, Saidia, Morocco. 2011
Liste complète des métadonnées

Littérature citée [6 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-00651846
Contributeur : Fabien Campillo <>
Soumis le : mercredi 14 décembre 2011 - 12:37:02
Dernière modification le : samedi 27 janvier 2018 - 01:30:43
Document(s) archivé(s) le : vendredi 16 novembre 2012 - 15:31:56

Fichier

mamern11-campillo2.pdf
Accord explicite pour ce dépôt

Identifiants

  • HAL Id : hal-00651846, version 1

Citation

Fabien Campillo, Marc Joannides, Irène Larramendy-Valverde. Stochastic models for the chemostat. 4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN11), May 2011, Saidia, Morocco. 2011. 〈hal-00651846〉

Partager

Métriques

Consultations de la notice

288

Téléchargements de fichiers

197