ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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

A. U. Perevarukha1

AnnotationThe 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.
KeywordsSimulation of population dynamics, hybrid computing systems.

1Researcher of St.--Petersburg Institute of Informatics and Automation of RAS; madelf@pisem.net.

Citation: A. U. Perevarukha, "[Simulation of population changes based on the the numerical solution of bursting ordinary differential equations.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:3 (2011) 101–106 (In Russian)