The differential equations of Abrams and Strogatz for the competition between two languages are compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up to 10^9 agents.
Cite
@article{arxiv.physics/0603042,
title = {Microscopic Abrams-Strogatz model of language competition},
author = {Dietrich Stauffer and Xavier Castello and Victor M. Eguiluz and Maxi San Miguel},
journal= {arXiv preprint arXiv:physics/0603042},
year = {2008}
}