A reaction-diffusion model, constructed on a grid by linking nonlinear density-dependent birth and death processes through particle diffusion, is studied by proving two laws of large numbers and a fluctuation theorem under varying assumptions on the density parameter.
Publié le : 1994-10-14
Classification:
Central limit theorem,
stochastic partial differential equation,
reaction-diffusion model,
law of large numbers,
60F17,
60H15,
60G15
@article{1176988494,
author = {Blount, Douglas},
title = {Density-Dependent Limits for a Nonlinear Reaction-Diffusion Model},
journal = {Ann. Probab.},
volume = {22},
number = {4},
year = {1994},
pages = { 2040-2070},
language = {en},
url = {http://dml.mathdoc.fr/item/1176988494}
}
Blount, Douglas. Density-Dependent Limits for a Nonlinear Reaction-Diffusion Model. Ann. Probab., Tome 22 (1994) no. 4, pp. 2040-2070. http://gdmltest.u-ga.fr/item/1176988494/