IMPROVEMENT OF THE MATHEMATICAL MODEL OF PERSONAL DATA PROTECTION CONSIDERING TRUST AND QUANTITY OF INFORMATION IN SOCIAL NETWORKS

Abstract

Information needs constant reliable protection. Protection against unauthorized access and distribution, accidental deletion or modification. All developed European countries are concerned about the problem of information security, as well as the protection of personal data of the country's citizens. Social networks are one of the main methods of communication, finding connections and sharing both public and personal information. Social networks make up a constantly growing share among general networks. The network itself acquires new properties, acting as an independent factor. Therefore, it is constantly necessary to develop an information protection system, especially the protection of personal data in social networks. The paper analyzes the parameters of social networks. The parameters of the social network are the transfer of information to other users, traffic density, the probability of building a secure network, and others. A mathematical model for determining the security of personal data from trust and the amount of information in social networks has been developed. Mathematical modeling was carried out in the MatLab environment, the simulation proved that, based on the conditions of the dissipation ratio and the natural frequency of fluctuations of the quantity, the decay of the latter to a certain value is carried out periodically, with a decaying amplitude, or according to an exponential decay law. That is, the protection of personal data increases due to the growth of information trust factors. Mathematical modeling of the proposed model, a model that determines the dependence of personal data protection on trust and the amount of information, confirmed the adequacy of the developed model and proved that personal data protection is proportional to trust. The protection of personal data increases with the growth of trust parameters. But the protection of personal data diminishes slightly as the amount of information to be protected grows. This fully corresponds to the real situation and confirms the adequacy of the developed model.