J. Theodore Cox, Rinaldo B. Schinazi
Published 2009-06-26Version 1
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.
Comments: Published in at http://dx.doi.org/10.1214/08-AOP422 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal: Annals of Probability 2009, Vol. 37, No. 3, 853-876
Coexistence for a multitype contact process with seasons
Coexistence in locally regulated competing populations and survival of branching annihilating random walk
Coexistence and extinction for stochastic Kolmogorov systems
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