Abstract
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.
Original language | English (US) |
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Pages (from-to) | 853-876 |
Number of pages | 24 |
Journal | Annals of Probability |
Volume | 37 |
Issue number | 3 |
DOIs | |
State | Published - May 2009 |
Keywords
- Coexistence
- Complete convergence
- Contact process
- Multitype
- Survival
- Trees
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty