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.
- Complete convergence
- Contact process
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty