RESEARCH OF DYNAMICS OF INFORMATION DISTRIBUTION PROCESSES BASED ON DIFFUSION HYBRID MODELS

Abstract

Context. Solving of the problem of formalization and study of the development of the process of information dissemination over time and its impact on the society is very important for ensuring information security. It is necessary to use a fundamentally new tool that will adequately reflect the state of the dynamic component of the process of information dissemination. Objective. The goal of the work is the research of mathematical models of processes of dissemination to model the dynamics of changes in the levels of influence of information within different target groups. Method. This paper proposes an approach to formalize hybrid mathematical models of the dynamics of information process propagation in the target group on the basis of diffusion models. In order to improve the adequacy and reliability of the results obtained from the constructed models, it is proposed to apply hybrid systems based on diffusion models and dynamic models describing the process of changing the size of the contingent of the information dissemination environment. The proposed method allows to simulate the dynamic processes of observing the level of information impact based on the solution of inhomogeneous diffusion equations, the change of intervals of a spatial variable in which is determined by additional relations in the form of a system of differential equations. The scalar case of f homogeneous and inhomogeneous diffusion equation is considered under the condition of one-dimensional representation of the target group contingent. The examples of application of this approach are given, the results of numerical experiments are analyzed. Results. The developed technique allows to obtain estimates of the level of information dissemination in the target group based on the use of diffusion process models. Conclusions. The conducted experiments have confirmed the existence of sufficient adequacy of model data and data obtained as a result of real observations of the processes of change in the perception of information within specific target population groups. The prospects for further research are the development of new diffusion-type models that formalize the different nature of the influence of external factors on the processes of information dissemination.