English

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

Populations and Evolution 2016-03-02 v1

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.

Keywords

Cite

@article{arxiv.0911.1960,
  title  = {Pattern formation in a predator-prey system characterized by a spatial scale of interaction},
  author = {E. Brigatti and M. Oliva and M. Núñez-López and R. Oliveros-Ramos and J. Benavides},
  journal= {arXiv preprint arXiv:0911.1960},
  year   = {2016}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T14:09:50.781Z