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Conference Papers Year : 2011

Stochastic Models for the Chemostat


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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Dates and versions

hal-00651777 , version 1 (14-12-2011)


  • 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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