Stochastic models for the chemostat

نویسندگان

  • Fabien Campillo
  • Marc Joannides
  • Irène Larramendy-Valverde
چکیده

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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تاریخ انتشار 2011