Method for calculating the protection of personal data from trust between users and the intensity of data transfer in social networks

Abstract

A mathematical model was developed and a study of the model of protection of personal data from trust between users and the intensity of data transmission in social networks was carried out. Dependencies are considered: the amount of information flow in the social network from the components of information protection, personal data, and the speed of data flow; protection of the system from the size of the system (as well as the amount of personal data); threats to information security from loss of trust between users The resulting system of linear equations consists of an equation: the rate of change in the flow of information from the security of the social network and coefficients that reflect the impact of security measures, the amount of personal data, the speed of leakage, changes in the indicator of protection of information from trust between network users, its size, the security of personal data. As a result of the solution of the system of differential equations mathematical and graphical dependences of the indicator of personal data protection in the social network from various components were obtained. Having considered three options for solving the equation near the stationary state of the system, we can conclude that, based on the conditions of the ratio of dissipation and its own frequency of fluctuations in the value, the attenuation of the latter to a certain value is carried out periodically, with a suffocating amplitude, or exponentially fading law. A more visual analysis of the system behavior was performed, moving from the differential form of equations to discrete and to model a certain period of existence of the system. Mathematical and graphical dependences of frequency of own oscillations of the system, oscillation period, attenuation coefficient are presented. Simulation modeling for values with deviation from the stationary position of the system is carried out. As a result of simulation modeling, it has been proved that the social network protection system is nonlineable.