Pattern formation and spatial correlation induced by the noise in two competing species

TL;DR

This paper investigates how additive and multiplicative noise sources influence pattern formation and spatial correlations in two competing species using a coupled map lattice model.

Contribution

It introduces a model analyzing the effects of two types of noise on species competition patterns, revealing nonmonotonic behaviors.

Findings

Pattern formation varies nonmonotonically with noise intensity.

Spatial correlation between species also shows nonmonotonic dependence on noise.

Noise can induce or suppress spatial patterns in competing species.

Abstract

We analyze the spatio-temporal patterns of two competing species in the presence of two white noise sources: an additive noise acting on the interaction parameter and a multiplicative noise which affects directly the dynamics of the species densities. We use a coupled map lattice (CML) with uniform initial conditions. We find a nonmonotonic behavior both of the pattern formation and the density correlation as a function of the multiplicative noise intensity.