Survival and coexistence for a multitype contact process
arXiv:0906.4845 · doi:10.1214/08-AOP422
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.
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)