WORLD EXPERIENCE IN CONFLICT SETTLEMENT BASED ON MATHEMATICAL MODELING (BASED ON THE EXAMPLE OF THE USA)

Abstract

Abstract. This article discusses some mathematical modeling methods that are often used in American practice. It has been revealed that they are suitable for predicting modern conflicts. It is clear that conflicts can be predicted and managed using a mathematical modeling model proposed by the United States. The problem of modeling various social conflicts using diffusion equations is discussed. The main approaches and methods of mathematical modeling in modern humanities are also considered. The analyzed model is based on Langevin diffusion. This model is based on the idea that all individuals in a society interact through a communication field. This field is induced by each individual in society, modeling information interaction between people. The analytical solution of the system of equations thus obtained in the first is given for the divergent type of diffusion. Based on the analysis of phase portraits obtained by modeling, a conclusion is made about the existence of stability, within which the social system is stable and non-conflict. The article also discusses the possibility of using game theory in conflictology. Various scientific examples also show the importance of mathematical modeling for predicting and managing conflicts in modern social sciences. The article also describes the application and use of some of their types for scientific and practical purposes. At the same time, a good scientific analysis of current scientific methods and methodologies is carried out, examples of their types and features are given. Each example is supplemented with mathematical equations and formulas.