Analysis of some stochastic chemostat models by means of random dynamical systems

• Main Author: Lopez de La Cruz, Javier
• Other Authors: Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA), Institut National de la Recherche Agronomique (INRA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Universidad de Sevilla, Institut National de Recherche Agronomique (INRA). UR Laboratoire de Biotechnologie de l'Environnement (0050).
• Format: Conference Object
• Language: French
• Published: HAL CCSD 2017
• Subjects: modélisation; commande; optimisation; bioprocédés; [SDV.BIO]Life Sciences [q-bio]/Biotechnology; [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation; [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]; [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]; sami
• Online Access: https://hal.science/hal-01607720

Journée organisée conjointement par l'objet thématique SAMI (Système, Analyse, Modélisation, Informatique) de l'UR LBE Narbonne et l'UMR MISTEA Montpellier Journée organisée conjointement par l'objet thématique SAMI (Système, Analyse, Modélisation, Informatique) de l'UR LBE Narbonne et l'UMR MISTEA Montpellier Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment and has been regarded as an idealization of nature to study competition modeling in mathematical biology. The simplest chemostat model assumes that the availability of nutrient and its supply rate are both fixed and the tendency of microorganisms to adhere to surfaces is usually neglected by assuming that the flow rate is fast enough. Nevertheless, the previous assumptions largely limit the applicability of chemostat models to realistic competition systems. Due to this fact, stochastic models have become more and more popular between researchers since they can represent much more precisely the real ones.