Про використання моделей дифузiйних процесiв для опису динамiки розповсюдження iнформацiї

Abstract

The diffusion nature of information processes allows us to successfully use the mathematical models of penetration processes to model the dynamics of changes in distribution levels and the impact of information in target groups. In this paper an approach is proposed to formalize hybrid mathematical models of the dynamics of the dissemination of information processes in a target (social or regional) population group. The mathematical substantiation of the process of formalization of information dissemination on the basis of homogeneous diffusion models is given. Hybrid systems consisting of diffusion models and dynamic models that describe the process of changing the environment size of the information dissemination are used to increase the adequacy and reliability of the constructed models. The proposed technique allows to formalize and to simulate in time levels of information influence and memory on the basis of solution of a diffusion equation, the change of distribution intervals in which is determined by additional correlations in the form of a system of differential equations. The scalar solution for one-dimensional representation of the contingent of the target group is considered. Examples of application of this approach is given, results of numerical experiments are analyzed.