Determining the degree of information security in social networks depending on the profile of connections between subscribers

DOI: 10.31673/2409-7292.2023.030303

Abstract

Even before the emergence of social networks, it was found out what influence the people around him have on a person. At the same time, it was determined that very often the most useful for a person is not the close environment of the subject (strong ties), but people with whom the subject communicates "on the surface" (weak ties). Based on these conclusions, the question arises about the role of unfamiliar people in the life of an individual. People who are not part of a narrow cluster of close friends and acquaintances reveal useful information to the individual - information that the individual does not possess, due to the fact that with weak ties the subject of communication has fewer general contacts. At the same time, another problem arises - the problem of information security, which can be accessed by completely unknown people who are not part of the subject's close environment. To develop a methodology for assessing the security of information in social networks, a solution to the protection system in social networks was found, taking into account the effect of a specific parameter - the strength of connections between subscribers, to conduct a visual analysis of the system's behavior. In contrast to the classical approach, a linear mathematical model was created, the stationary position of the system was found, and the equation of a harmonic oscillator with decaying amplitude was obtained. The natural oscillation frequency, period and damping coefficient of the protection system are determined. It was concluded that, based on the conditions of the ratio of dissipation 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 exponentially decaying law. As a result of studies of the linear model of protection based on differential equations, it was established that the social network protection systems are non-linear. The need for further research of the non-linear model of the information protection system in social networks for the purpose of calculating the security of information, taking into account the type of connections between subscribers, has been determined.

Keywords: social network, subscriber connections, protection system, differential equations.