Nonmonotonic Behavior of Spatiotemporal Pattern Formation in a Noisy Lotka-Volterra System

TL;DR

This paper investigates how noise influences pattern formation in a three-species Lotka-Volterra model, revealing nonmonotonic behavior in pattern area as noise intensity and time vary.

Contribution

It introduces a coupled map lattice approach to analyze noise-induced spatiotemporal patterns in a three-species population model.

Findings

Pattern area varies nonmonotonically with noise intensity.

Spatial correlation depends on noise level and time.

Nonmonotonic behavior observed in pattern evolution.

Abstract

The noise-induced pattern formation in a population dynamical model of three interacting species in the coexistence regime is investigated. A coupled map lattice of Lotka-Volterra equations in the presence of multiplicative noise is used to analyze the spatiotemporal evolution. The spatial correlation of the species concentration as a function of time and of the noise intensity is investigated. A nonmonotonic behavior of the area of the patterns as a function of both noise intensity and evolution time is found.