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Development of News Distribution Model in the Social Networks Based on the SIR Epidemic Model

Student: Bolotin Artem

Supervisor: Yulia Grishunina

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2018

Developing a model, that describes news distribution in social network is an important problem today, because of the growing needs for analyzing information dissemination processes. In this paper, an analysis made of already available approaches in this field. A mathematical model describing the distribution of news in a social network based on the SIR - model of the epidemic, as well as changes in the quantitative ratio of groups of people interacting with the information is developed. Factors based on qualitative indicators of news information are formulated, and a system of differential equations is compiled, its solution is presented, and computer simulation of the process is performed. The obtained results can be used for further analysis of information dissemination processes in social networks.

Full text (added May 25, 2018)

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