011. Modeling of ecological system a “predator-victim”

Recently mathematicians and physicists have been getting highly interested in chaotic fluctuations in dynamic systems of the various nature. As the deterministic chaos is observed in nonlinear systems of the ordinary differential equations (ODEs) of dimension N>2, the role of numerical modeling increases at their analysis. Numerical modeling of oscillatory systems of ODE which are under the influence of casual fluctuations is reduced to statistical modeling of trajectories of solutions of nonlinear systems of the stochastic differential equations (SDEs). For the solution of such systems, the algorithm of a variable step is offered which is based on the three-phase generalized method of Runge-Kutty. By means of the constructed method the model of ecological system “predator-victim” with two nuisance parameters is analyzed.