A Mathematical Model of Distributing New Information in Society

Abstract

Diversification of any new idea or concept in the society often begins with the emergence in the mass media of information that can win the attention of particular social groups or individuals. The author analyzes and interprets the results obtained by the means of constructing and studying a basic mathematical model of distribution of new information. The article describes factors and regularities that make the basis for the model, comments on all the relators that form the structure of the model, and describes the parameters of this structure. The proposed model is represented by a system of four ordinary differential equations. The stationary points of the system are found, and their conceptual meaning is described. The stationary points have cardinally different properties, depending on different relators. This provides for several possible scenarios of distributing new information in the society, whose description and geometric interpretation is given in the article.