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

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 int...

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Bibliographic Details
Published in:	The European physical journal. B, Condensed matter physics Vol. 81; no. 3; pp. 321 - 326
Main Authors:	Brigatti, E., Núñez-López, M., Oliva, M.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01-06-2011 EDP Sciences Springer
Subjects:	Classical statistical mechanics Complex Systems Condensed Matter Physics Exact sciences and technology Fluid- and Aerodynamics Interdisciplinary Physics Physics Physics and Astronomy Solid State Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Survival Phase Discrete Model Predatory Animal Homogeneous Spatial Distribution Demographic Noise Discrete function Finite size effect Mean field approximation Spatial distribution Predator-prey interactions Microscopic model Lotka Volterra model
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Summary:	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.
ISSN:	1434-6028 1434-6036
DOI:	10.1140/epjb/e2011-10826-6