Analytical modeling of processes in Volterra stochastic systems by the canonical expansions method

On the basis of the stochastic canonical expansions (StCE) theory, approximate nonlinear correlational methods and algorithms for analytical modeling of additive and parametric harmonic, quasi-harmonic, and wideband noises in generalized Volterra stochastic systems (VStS) are developed. The elements of StCE are given. The stochastic Volterra problem “Preys and Victims” with one trophical level is investigated in detail. Special attention is paid to test examples for one- and two-dimensional VStS with additive and parametric harmonic, quasi-harmonic, and wideband noises.