Analysis of stochastic attractors for population dynamical systems with environmental noise

We study stochastic attractors of nonlinear dynamical systems modeling population dynamics. For the approximation of probabilistic characteristics of these attractors, constructive computational methods based on stochastic sensitivity functions technique are suggested. Applications of these methods for analysis of the noise-induced effects in a model of population dynamics are demonstrated. The critical value of parameter corresponding to supersensitive limit cycle is found. For this value of parameter, a new noise-induced phenomenon of qualitative changes of stochastic oscillations is shown.