Model of new information dissemination in society

Abstract

Diversification of any new idea, the concept in society both in general and within various classes and social groups often begins with information emergence in media concerning a goal. The research defines generalized factors and regularities of news information promotion in society; offers the basic mathematical model of new information dissemination. The model represents the system of four ordinary differential equations with square non-linearity in the right parts. Two stationary solutions which received quite logical interpretation for this system are found. At the same time in space of parameters of the system two areas with various properties of stationary decisions are allocated. Using qualitative methods of the differential equations theory, studying of global properties of a phase portrait of the constructed dynamic system is carried out. It allows to offer several possible scenarios of new information dissemination in society.

Keywords

• dissemination of new information
• stationary solution of system
• invariant set
• asymptotic stability