Ecological equilibrium for restrained branching random walks
Probability
2009-09-29 v2
Abstract
We study a generalized branching random walk where particles breed at a rate which depends on the number of neighboring particles. Under general assumptions on the breeding rates we prove the existence of a phase where the population survives without exploding. We construct a nontrivial invariant measure for this case.
Cite
@article{arxiv.math/0611720,
title = {Ecological equilibrium for restrained branching random walks},
author = {Daniela Bertacchi and Gustavo Posta and Fabio Zucca},
journal= {arXiv preprint arXiv:math/0611720},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/105051607000000203 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)