Survival and coexistence for a multitype contact process

Details Survival and coexistence for a multitype contact process Survival and coexistence for a multitype contact process

2009-06-26

arxiv.org/abs/0906.4845v1

Annals of Probability 2009, Vol. 37, No. 3, 853-876

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/08-AOP422 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/08-AOP422

We study the ergodic theory of a multitype contact process with equal death rates and unequal birth rates on the $d$-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.

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