Mathematical Model of Ethnic Communities Of Kazakhstan

Abstract

In this paper, based on the sociological theory of T. Parsons and the methodology for balancing of Nash equilibria, we constructed a mathematical model of the dynamics of ethnic processes that describes the development of four subsystems of ethnic communities: political, economic, ethnic, and community of Institute of the Assembly of the People of Kazakhstan (APK). The aim of our research was to find and identify ways of constructive resolution of social conflicts, establish a balanced way of taking into account the interests of various subsystems of society. The subsystems mentioned above were identified in the framework of the Parsons theory because this theory offers a way of constructive resolution of social conflicts. The level of social tension is the control parameter. For example, when political differentiation and degree of adaptation are constantly written relations characterizing the number of equilibrium states, their type, the number of special points at infinity. The result of this work was to solve the problems of constructing a mathematical model and computer analysis of the model of ethnic groups of the Republic of Kazakhstan and the role of the Assembly of the people of Kazakhstan in stabilizing society. When studying ethnosocial processes using such a model, we can predict and predict the future of ethnic groups in modern society.