Survival and coexistence for a multitype contact process

J. Theodore Cox; Rinaldo B. Schinazi

doi:10.1214/08-aop422

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arXiv · 0906.4845

Survival and coexistence for a multitype contact process

J. Theodore Cox·Rinaldo B. Schinazi

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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.

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J. Theodore Cox, Rinaldo B. Schinazi. 2009-06-26. Survival and coexistence for a multitype contact process. https://doi.org/10.1214/08-aop422

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