ICCS2004 Application Submission/Review

Abstract for
"Bifurcation Study of Self-Oscillatory and Chaos Regimes in Predator-Prey Systems."

For models of the dynamics of the quantity of a predator-prey systems such as the generelized three dimensional Volterra-Lotka model with the additional effects of an intraspecific competition and saturation in predator populations under stationary and periodic environmental fluctuations we show existence of stable Self-Oscillatory and Chaos regimes of behaviour. Investigated them bifurcations at changes value of parametrs and initial values. The investigations has been carried out qualitatively based on the bifurcation theory and perturbation theory, as well as by means of a computer experiments.