Effects of Noise in Symmetric Two-Species Competition

TL;DR

This paper investigates how noise influences a classical two-species competition model, revealing that noise induces new behaviors such as oscillations, spatial patterns, and stochastic resonance, which are absent in deterministic models.

Contribution

It demonstrates that noise fundamentally alters the dynamics of two-species competition models, introducing phenomena like stochastic resonance and spatial patterns.

Findings

Noise induces temporal oscillations.

Noise leads to spatial pattern formation.

Noise enhances system response through stochastic resonance.

Abstract

We have analyzed the interplay between noise and periodic modulations in a classical Lotka-Volterra model of two-species competition. We have found that the consideration of noise changes drastically the behavior of the system and leads to new situations which have no counterpart in the deterministic case. Among others, noise is responsible for temporal oscillations, spatial patterns, and the enhancement of the response of the system via stochastic resonance.