Electronic Journal of Probability
- Electron. J. Probab.
- Volume 10 (2005), paper no. 35, 1147-1220.
Competing super-Brownian motions as limits of interacting particle systems
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.
Electron. J. Probab., Volume 10 (2005), paper no. 35, 1147-1220.
Accepted: 9 September 2005
First available in Project Euclid: 1 June 2016
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Durrett, Richard; Mytnik, Leonid; Perkins, Edwin. Competing super-Brownian motions as limits of interacting particle systems. Electron. J. Probab. 10 (2005), paper no. 35, 1147--1220. doi:10.1214/EJP.v10-229. https://projecteuclid.org/euclid.ejp/1464816836