Youth subculture mathematical modeling

Youth subcultures are inherent in all times, have a significant impact on the formation of the worldview of youth. Mathematical modeling of the self-organization of such associations allows us to estimate the time interval of their existence, filling with fans and other characteristics. Technical and material support help to form an understanding of the tasks of the future. The paper presents the results of a sociological survey of a large group of young fans of anime culture. Based on the analysis of the author’s statistical data, taking into account statistical data published in open sources, a mathematical model of the youth subculture has been developed, including several areas of close interest. The model is represented by the Cauchy problem for a system of ordinary differential equations. An analysis of the stability of stationary states is given. The conditions imposed on the parameters of the mathematical model that determine the disintegration of the subculture are determined.