Stochastic Models for the Chemostat

Abstract : The chemostat is classically represented, at high popula- tion scale, as a system of ordinary differential equations. Our goal is to establish a set of stochastic models that are valid at different scales. 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, a diffusion approximation allows us to propose a model in the form of a system of stochastic differential equations.
Type de document :
Communication dans un congrès
7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada. 2011
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https://hal.inria.fr/hal-00651777
Contributeur : Fabien Campillo <>
Soumis le : mercredi 14 décembre 2011 - 10:53:00
Dernière modification le : jeudi 11 janvier 2018 - 16:18:54

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  • HAL Id : hal-00651777, version 1

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Fabien Campillo, Marc Joannides, Irène Larramendy. Stochastic Models for the Chemostat. 7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada. 2011. 〈hal-00651777〉

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