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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.
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Contributor : Fabien Campillo Connect in order to contact the contributor
Submitted on : Wednesday, December 14, 2011 - 10:53:00 AM
Last modification on : Friday, August 5, 2022 - 10:34:02 AM


  • HAL Id : hal-00651777, version 1


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



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