In Middle Volga Mathematical Society

Simulation of population changes based on the the numerical solution of bursting ordinary differential equations

A. Yu. Perevarukha

St. Petersburg Institute for Informatics and Automation of RAS

Abstract: The paper describes the developed model based on differential equations with discontinuous right-hand side and analyzed in computing environments using a hybrid representation model time. The model has an interpretation in the theory of jumplike changes in early ontogeny of fish. Numerical investigation of the model showed the existence of a locally disconnected basin boundary $ \ partial \ Omega _1 $ of attractors.

Keywords: Simulation of population dynamics, hybrid computing systems.

UDC: 629.075

Received: 04.12.2011