A boundary driven generalized contact process with exchange of particles:Hydrodynamics in infinite volume

We consider a two species process which evolves in a finite or infinite domain hi contact with particle reservoirs at different densities, according to the superposition of a generalized contact process and a rapid stirring dynamics in the bulk of the domain, and a creation/annihilation mechanism at its boundaries. For this process, we study the law of large numbers for densities and current. The limiting equations are given by a system of non-linear reaction diffusion equations with Dirichlet boundary conditions. (C) 2016 Elsevier B.V. All rights reserved.