Survival and coexistence in stochastic spatial Lotka-Volterra models

DOI10.1007/s00440-006-0040-3zbMath1129.60089OpenAlexW2091899925MaRDI QIDQ2641901

J. Theodore Cox, Edwin A. Perkins

Publication date: 17 August 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-006-0040-3

zbMATH Keywords

super-Brownian motionLotka-Volterra modelcoexistence regionVoter modelsurvival region

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Stochastic Spatial Models of Host-Pathogen and Host-Mutualist Interactions II, Renormalization of the two-dimensional Lotka-Volterra model, Rescaled Lotka-Volterra models converge to super-stable processes, Numerical analysis of the rebellious voter model, A complete convergence theorem for voter model perturbations, Coexistence in locally regulated competing populations and survival of branching annihilating random walk, Voter models with heterozygosity selection

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