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Communication Dans Un Congrès Année : 2011

Stochastic models for the chemostat

Résumé

The chemostat is classically represented, at high population scale, as a system of ordinary differential equations. Our goal is to establish a set of stochastic models that are valid at different scales: from the small population scale to the scale immediately preceding the one corresponding to the deterministic model. 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, an approximation diffusion allows us to propose a model in the form of a system of stochastic differential equations.
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Dates et versions

hal-00651846 , version 1 (14-12-2011)

Identifiants

  • HAL Id : hal-00651846 , version 1

Citer

Fabien Campillo, Marc Joannides, Irène Larramendy-Valverde. Stochastic models for the chemostat. 4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN11), May 2011, Saidia, Morocco. ⟨hal-00651846⟩
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