Role of the Colored Noise in Spatio-Temporal Behavior of Two Competing Species

TL;DR

This paper investigates how colored noise influences the spatial distribution and correlations of two competing species, revealing nonmonotonic behaviors and shifts with noise intensity and correlation time.

Contribution

It introduces a coupled map lattice model to analyze the impact of multiplicative colored noise on species distribution and spatial correlations.

Findings

Nonmonotonic dependence of spatial correlations on noise intensity

Shift of correlation behavior with increasing noise correlation time

Identification of noise-induced spatial pattern changes

Abstract

We study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior in the formation of large scale spatial correlations as a function of the multiplicative colored noise intensity. This behavior is shifted towards higher values of the noise intensity for increasing correlation time of the noise.