Correlated noise induced control of prey extinction

TL;DR

This paper investigates how correlated Gaussian noise influences predator-prey dynamics, revealing that noise correlation can prevent prey extinction by destroying bistability in the system.

Contribution

It introduces a phenomenological predator model with correlated noise and analyzes how noise correlation affects steady states and prey extinction risk.

Findings

Correlated noise can eliminate bistability in predator-prey systems.

Prey extinction is prevented at certain noise correlation levels.

Steady state probability distributions are significantly affected by noise correlation.

Abstract

We study the steady state properties of a phenomenological two-state predator model in presence of correlated Gaussian white noise. Based on the corresponding Fokker-Planck equation for probability distribution function the steady state solution of the probability distribution function and its extrema have been investigated. We show for a typical value of noise correlation there is a giant loss of bistability which in turn prevents the prey population from going into extinction.