This article is cited in 24 papers

The 8th Scientific Conference "Modern Problems of Computational Mathematics" (Moscow, February, 21–23, 1994)

Mathematical modelling of power distribution dynamics in hierarchical structures

A. P. Mikhailov

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: The methodology of mathematical modelling [1]–[6] is applied to analysis of a system “state power – civil society”. A mathematical macromodel, describing a dynamics of power distribution in state hierarchical structures and an influence of society reaction on a formation of this distribution is built. Some important problems of power distribution dynamics available for study by modelling are discussed. The main attention is devoted to low-governed system. For this system a problem of existence and features of stable stationary power distributions as well as a problem of disobeing low frameworks by state authorities are investigated. Some negative consequences of such a disobeing in case of system deformed with respect to law-governed society are studied. From a mathematical point of view the model corresponds to some boundary problem for integro-differential equation of “parabolic” type available both for purely theoretical study and for computer simulation.

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