Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139274 | Mathematics and Computers in Simulation | 2014 | 17 Pages |
Abstract
We consider a stochastic model of the two-dimensional chemostat as a diffusion process for the concentration of substrate and the concentration of biomass. The model allows for the washout phenomenon: the disappearance of the biomass inside the chemostat. We establish the Fokker–Planck equation associated with this diffusion process, in particular we describe the boundary conditions that modelize the washout. We propose an adapted finite difference scheme for the approximation of the solution of the Fokker–Planck equation.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Fabien Campillo, Marc Joannides, Irène Larramendy-Valverde,