Periodic trajectories of distributed parameter biochemical systems with time delay

A.K. Drame, D. Dochain, J.J. Winkin, P.R. Wolenski

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

Résumé

This paper deals with a model of a biochemical reactor system with distributed parameters and with a time delay in the growth response. Time delay has been introduced in microbial growth systems to explain the time lapse between the consumption of (liquid) substrate and its conversion to (solid) biomass. We study here the properties of the resulting system of partial functional differential equations. We first prove the existence, positivity, and a compactness property of the system trajectories. We then prove the existence of periodic solutions of the system for large values of the delay. Numerical simulations illustrate the existence of such solutions.
langue originaleAnglais
Pages (de - à)7395-7405
Nombre de pages11
journalApplied Mathematics and Computation
Volume218
Numéro de publication14
Les DOIs
Etat de la publicationPublié - 15 mars 2012

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