Volume 88, Number 6, December 2009
Article Number 68002
Number of page(s) 5
Section Interdisciplinary Physics and Related Areas of Science and Technology
Published online 01 December 2009
EPL, 88 (2009) 68002
DOI: 10.1209/0295-5075/88/68002

Pattern formation in a predator-prey system characterized by a spatial scale of interaction

E. Brigatti1, 2, M. Oliva3, M. Núñez-López4, R. Oliveros-Ramos5 and J. Benavides6

1   Centro Brasileiro de Pesquisas Físicas - Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brasil
2   Instituto de Física, Universidade Federal Fluminense - Campus da Praia Vermelha, 24210-340, Niterói, RJ, Brasil
3   Facultad de Física, Universidad de La Habana - Ave. Universidad y Ronda, Vedado, 10400, Havana, Cuba
4   Instituto Mexicano del Petróleo - Eje Central Lázaro Cárdenas Norte 152, Gustavo A. Madero, 07730 DF, México
5   Centro de Investigaciones en Modelado Oceanográfico y Biológico Pesquero, IMARPE - Apartado 22, Callao, Perú
6   Institut des Sciences de l'Evolution - Place Eugene Bataillon, CC 065, 34095 Montpellier, France, EU

received 20 August 2009; accepted in final form 18 November 2009; published December 2009
published online 22 December 2009

We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that patterns can emerge in some regions of the parameters space where the instability is driven by the range of the interaction. The individual-based implementation captures realistic ecological features. In fact, spatial structures emerge in an erratic oscillatory regime which can contemplate predators' extinction.

87.23.Cc - Population dynamics and ecological pattern formation.
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.
05.45.-a - Nonlinear dynamics and chaos.

© EPLA 2009