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

TL;DR

This paper analyzes a spatial Lotka-Volterra predator-prey model with finite interaction range, revealing how spatial patterns emerge depending on interaction and diffusion parameters in higher-dimensional spaces.

Contribution

It introduces a spatial version of the Lotka-Volterra model with finite interaction range and explores pattern formation in higher-dimensional spaces.

Findings

Spatial patterns emerge for specific interaction ranges and diffusion rates.

Pattern formation depends on the finite interaction scale and spatial dimension.

The model extends classical predator-prey dynamics to higher-dimensional spaces.

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.