Analysis of a spatial Lotka-Volterra model with a finite range predator-prey interaction

2011/04/13 by E. Brigatti, M. Núñez-López, M. Oliva
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Diffusion #Dynamics (music) #Evolutionary Game Theory and Cooperation #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Range (aeronautics) #Scale (ratio) #Spatial ecology #msc:92D40 #physics.bio-ph #q-bio.PE

paper · pdf · doi:10.1140/epjb/e2011-10826-6

published as Eur. Phys. J. B 81, 321--326 (2011) · 7 pages, 7 figures

openalex publication_date 2011/04/13 · arxiv created 2012/08/20 · arxiv updated 2012/08/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We perform an analysis of a recent spatial version of the classical Lotka-Volterra model, where a finite scale controls individuals' interaction. We study the behavior of the predator-prey dynamics in physical spaces higher than one, showing how spatial patterns can emerge for some values of the interaction range and of the diffusion parameter.

Citations

• On the origin of species by sympatric speciation
• The chemical basis of morphogenesis
• Dependence of epidemic and population velocities on basic parameters
• Pattern formation in a predator-prey system characterized by a spatial scale of interaction
• Stochastic Turing patterns in the Brusselator model
• Enhanced stochastic oscillations in autocatalytic reactions
• Predator-Prey Cycles from Resonant Amplification of Demographic Stochasticity
• Phase Transitions and Spatio-Temporal Fluctuations in Stochastic Lattice Lotka–Volterra Models