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Competing super-Brownian motions as limits of interacting particle systems
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Richard Durrett, Cornell University
Leonid Mytnik, Technion
Edwin Perkins, The University of British Columbia
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Abstract
We study two-type branching random walks in which the
birth or death rate of each type can depend on the number of neighbors of
the opposite type. This competing species model contains variants of Durrett's
predator-prey model and Durrett and Levin's colicin model as
special cases. We verify in some cases convergence of scaling limits of these
models to a pair of super-Brownian motions interacting through their collision
local times, constructed by Evans and Perkins.
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Full text: PDF
Pages: 1147-1220
Published on: September 9, 2005
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Electronic Journal of Probability. ISSN: 1083-6489 |
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