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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 1990 Volume 2, Number 5, Pages 40–59 (Mi mm2367)

This article is cited in 4 papers

Mathematical models of phenomena and processes

Local equilibria principle in regional dynamics models

Yu. S. Popkov, V. I. Shvetsov

Scientific Research Institute for System Studies, USSR Academy of Sciences

Abstract: Formulation of the general scheme for developing dynamic models of macrosystems with selfreproduction and resources exchange, using the local equilibria principle, is proposed. Regional system, where reproduction and exchange processes have significantly different relaxation times, is considered. The model of regional system, where dynamic exchange processes are described as the evolution of local stationary states, is presented. Calculation, classification and bifurcation of equilibrium points of regional dynamics are studied. Results of computational experiments are given.

Received: 21.11.1989



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