Survival and Coexistence for a Multitype

نویسنده

  • Rinaldo B. Schinazi
چکیده

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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تاریخ انتشار 2009