Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay

•Stochastically forced regular attractors of the discrete-time nonlinear systems are studied.•Unified approach based on the stochastic sensitivity function technique is suggested.•Potentialities of the elaborated theory are demonstrated.•Parametric analysis of the stochastic Ricker model with delay is given.

Stochastically forced regular attractors (equilibria, cycles, closed invariant curves) of the discrete-time nonlinear systems are studied. For the analysis of noisy attractors, a unified approach based on the stochastic sensitivity function technique is suggested and discussed. Potentialities of the elaborated theory are demonstrated in the parametric analysis of the stochastic Ricker model with delay nearby Neimark–Sacker bifurcation.