Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions
Probability
2023-10-24 v3
Abstract
We consider an interacting particle system which models the sterile insect technique. It is the superposition of a generalized contact process with exchanges of particles on a finite cylinder with open boundaries (see Kuoch et al., 2017). We show that when the system is in contact with reservoirs at different slowdown rates, the hydrodynamic limit is a set of coupled non linear reaction-diffusion equations with mixed boundary conditions. We also prove the hydrostatic limit when the macroscopic equations exhibit a unique attractor.
Cite
@article{arxiv.2212.07762,
title = {Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions},
author = {Mustapha Mourragui and Ellen Saada and Sonia Velasco},
journal= {arXiv preprint arXiv:2212.07762},
year = {2023}
}