Stochastic multimodal oscillations in nonlinear biochemical model

Abstract

We consider the influence of random noise on the dynamic regimes of one nonlinear biochemical model. The model admits either mono-or bistable zones. In the monostable zone stochastic excitability arise resulting in large-amplitude oscillations. In the bistable zone noise-induced transitions between the attractors are of interest. For a constructive research of these phenomena, we apply a theoretical approach using confidence domains method and stochastic sensitivity analysis.