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

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.

5 pages, 4 figures

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Cited by in corpus (3)

• Analysis of a spatial Lotka-Volterra model with a finite range predator-prey interaction
• Exploring the onset of collective motion in self-organised trails of social organisms
• Influence of invasion on natural selection in dispersal-structured populations