Eur. Phys. J. B 81, 321-326 (2011)
https://doi.org/10.1140/epjb/e2011-10826-6

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

¹ Instituto de Cincias Exatas, Universidade Federal Fluminense, Rua E. H. Figueira, 783, Volta Redonda, RJ, Brasil
² Instituto de Física, Universidade Federal Fluminense, Campus da Praia Vermelha, 24210-340, Niterói, RJ, Brasil
³ Instituto Mexicano del Petróleo – Eje Central Lázaro Cárdenas Norte 152, Gustavo A. Madero, 07730 DF, Mexico
⁴ Facultad de Física, Universidad de La Habana, Ave. Universidad y Ronda, Vedado, 10400 Havana, Cuba

Corresponding author: ^a edgardo@if.uff.br

Received: 27 October 2010
Revised: 21 February 2011
Published online: 13 April 2011

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.