Applied mathematics

Creation of locally disconnected basin boundary of attractors in population dynamics model

A. Yu. Perevarukha

St. Petersburg Institute for Informatics and Automation of RAS

Abstract: Nonlinear dynamic system used for simulation of fish population with application of computing tools is analyzed. Such phenomena as rout to chaos by way of period doubling cascade, intermittency, subduction, interior crisis of strange attractor are considered. New stock-recruitment models are developed which have ability to move one of two existing attractors. Basin boundaries of a hybrid-time model becomes fractal-like which is reduced to chaotic transient behavior.

Keywords: basin boundaries of attractors, modeling of population dynamics.

UDC: 681.3.06