МЕТОД РОЗРАХУНКУ ЗАХИСТУ ПЕРСОНАЛЬНИХ ДАНИХ З УРАХУВАННЯМ КОМПЛЕКСУ СПЕЦИФІЧНИХ ПАРАМЕТРІВ СОЦІАЛЬНИХ МЕРЕЖ

Abstract

In Ukraine, the right to protection of personal data is a constitutional guarantee, and the protection of personal data is one of the areas in which such a guarantee should be implemented. The subject of our research will not be objects in general, but dynamic systems of information protection in social networks in the mathematical sense of the term. The study developed a linear mathematical model and conducted a survey of the model of protection of personal data from a set of specific network parameters and the intensity of data transmission in social networks. Dependencies are considered: the amount of information flow in the social network from the components of information protection, personal data, and data flow rate; security of the system from the size of the system and from the amount of personal data; information security threats from a set of specific network parameters.A system of linear equations is obtained, which consists of the equation: rate of change of information flow from social network security and coefficients that reflect the impact of security measures, amount of personal data, leakage rate, changes in information protection from a set of specific network parameters, its size, personal data protection As a result of solving the system of differential equations, mathematical and graphical dependences of the indicator of personal data protection in the social network on various components are obtained. Considering three options for solving the equation near the steady-state of the system, we can conclude that, based on the conditions of the ratio of dissipation and natural frequency, the attenuation of the latter to a specific value is carried out periodically, with attenuation: amplitude, or exponentially fading law. A more visual analysis of the system behavior is performed, moving from the differential form of equations to the discrete one and modeling some interval of the system's existence. Mathematical and graphical dependences of the frequency of natural oscillations of the system, the period of oscillations, and the attenuation coefficient are presented. Simulation modeling for values with deviation from the stationary position of the system is performed. As a result of the simulation, it is proved that the social network protection system is nonlinear.