Survival and coexistence for a multitype contact process
Probability
2009-06-29 v1
Abstract
We study the ergodic theory of a multitype contact process with equal death rates and unequal birth rates on the -dimensional integer lattice and regular trees. We prove that for birth rates in a certain interval there is coexistence on the tree, which by a result of Neuhauser is not possible on the lattice. We also prove a complete convergence result when the larger birth rate falls outside of this interval.
Keywords
Cite
@article{arxiv.0906.4845,
title = {Survival and coexistence for a multitype contact process},
author = {J. Theodore Cox and Rinaldo B. Schinazi},
journal= {arXiv preprint arXiv:0906.4845},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/08-AOP422 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)