Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise

TL;DR

This paper investigates how colored noise influences pattern formation in a three-species Lotka-Volterra system, revealing nonmonotonic behavior and larger patterns compared to white noise.

Contribution

It introduces a coupled map lattice model with colored noise to analyze complex spatiotemporal patterns in ecological systems.

Findings

Noise induces pattern formation with nonmonotonic size dependence.

Colored noise results in larger patterns than white noise.

Maximum pattern size shifts to higher noise intensities with colored noise.

Abstract

A coupled map lattice of generalized Lotka-Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting species: one predator and two preys symmetrically competing each other. The correlation of the species concentration over the grid as a function of time and of the noise intensity is investigated. The presence of noise induces pattern formation, whose dimensions show a nonmonotonic behavior as a function of the noise intensity. The colored noise induces a greater dimension of the patterns with respect to the white noise case and a shift of the maximum of its area towards higher values of the noise intensity.