Analysis and modeling of processes in complex social network structures based on the Fokker-Planck equation
The paper investigates stationary and dynamic distributions of news by the number of comments and shows that the power law of dependence of the stationary probability density of the distribution of news by the number of comments (states of the system x) observed in practice can be obtained from the solution of the stationary Fokker - Planck equation, if a number of assumptions are made during its derivation: the coefficient p(x), responsible in the Fokker - Planck equation for purposeful state change (“demolition”) of system x (x is the current number of comments on the news) linearly depends on the state of x, and the coefficient D(x) responsible for the random change (“diffusion”) depends on x quadratically. The solution of the unsteady Fokker-Planck differential equation with the assumptions made made it possible to obtain an analytical equation for the probability density of transitions between the states of the system per unit of time, which is in good agreement with the observed data, taking into account the effect of the delay time between the appearance of a comment to the news and a comment to this comment. Contribution of the authors: the authors contributed equally to this article. The authors declare no conflicts of interests.
Keywords
social networks,
modeling of social processes,
Fokker-Planck equation,
monitoring,
management,
nonlinear dynamics,
power law of distributionAuthors
| Perova Julia P. | Russian Technological University (MIREA) | jul-np@yandex.ru |
| Lesko Sergey A. | Russian Technological University (MIREA) | lesko@testor.ru |
| Zhukov Dmitry O. | Russian Technological University (MIREA) | zhukovdm@yandex.ru |
| Chechurin Alexey V. | Russian Technological University (MIREA) | chechurin@testor.ru |
Всего: 4
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