Analysis of Noise-Induced Bifurcations in the Stochastic Tritrophic Population System

A problem on the analysis of the noise-induced transitions in stochastically forced tritrophic population systems is considered. We study this problem on the basis of the conceptual “prey–predator-top predator” model which possesses coexisting attractors (limit cycles) and exhibits noise-induced transitions between them. For the parametric analysis of noise-induced phenomena in this nonlinear 3D model, we suggest a constructive approach combining the stochastic sensitivity function technique and confidence domain method. We show how increasing noise causes stochastic bifurcations, generation of mixed-mode oscillations, and transitions from order to chaos.