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

Authors :
Brigatti, E.
Oliva, M.
Núñez-López, M.
Oliveros-Ramos, R.
Benavides, J.
Source :
Europhysics Letters, 88 (2009) 68002
Publication Year :
2009

Abstract

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.<br />Comment: 5 pages, 4 figures

Details

Database :
arXiv
Journal :
Europhysics Letters, 88 (2009) 68002
Publication Type :
Report
Accession number :
edsarx.0911.1960
Document Type :
Working Paper
Full Text :
https://doi.org/10.1209/0295-5075/88/68002