Noise-induced transitions in a generalized logistic model with delay

The stochastic phenomena in the generalized randomly forced logistic model with delay is considered. The probabilistic mechanisms of the noise-induced transitions between coexisting attractors, and between separate parts of the unique attractor are studied. For the analysis of these phenomena, a new semi-analytical approach is suggested. Our method takes into account a geometry of the mutual arrangement of attractors, their basins of attraction, and corresponding confidence domains. Constructive abilities of this approach are demonstrated for the various parametric zones of the generalized logistic model with delay.