Noise induced stabilization in population dynamics

TL;DR

This paper explores how strong noise in a sub-population can induce a metastable, vortex-like state in an unstable two-population system, with persistence times that grow exponentially with noise strength.

Contribution

It introduces a model demonstrating noise-induced metastability and analyzes how different noise strengths affect the system's scaling behavior.

Findings

Metastable vortex-like state induced by noise

Persistence time grows exponentially with noise strength

Different scaling relations depending on noise strength

Abstract

We investigate a model where strong noise in a sub-population creates a metastable state in an otherwise unstable two-population system. The induced metastable state is vortex-like, and its persistence time grows exponentially with the noise strength. A variety of distinct scaling relations are observed depending on the relative strength of the sub-population noises.