MODEL OF DYNAMIC INTERACTION OF INDIVIDUALS IN GROUPS

Abstract

The relevance of the research is caused by the complexity and importance of tracking prob-lem of the dynamic interaction of individuals in groups (study groups, work collectives, social net-works). In the course of joint activity, representatives of various groups interact and relate to each other (managerial, psychological, behavioral, communicative, etc.) The result of mutual influence is the transition of individuals from one group to another. These transitions change the quantitative structure of groups. Force of mutual influence of individuals depends on the quantitative structure of group, coefficients and time of influence. The similar complexity problem arises at the research of groups of intelligent agents in agent-based systems. The article describes the development of the mathematical model of numerical structure change in groups based on the differential equations system. The general and partial (special cases) solutions for this system are obtained. Actual numer-ical examples are given for an illustration of the received theoretical results. The solution to these examples is demonstrated in MS Excel. Results of the article can be useful not only in the social and economic sphere but also in numerous applications of artificial intelligence technologies.