Geodesic
The dynamics of the dissemination of information in society during hype
Matematičeskoe modelirovanie, Tome 32 (2020) no. 12, pp. 129-140.

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The process of dissemination of information in society consisting of possible adepts (individuals who perceive this information) in the presence of distrust, which means a decrease in the level of interest in assimilating the proposed information, is considered. It is assumed that the degree of influence of distrust is determined by the excitement, i.e. the rate of change in the number of adepts over time. A mathematical model of this process is considered, which is the Cauchy problem for a nonlinear ordinary differential equation depending on several numerical parameters. As a result of the study, conditions are formulated that must be satisfied by the parameters of the problem for its correct solvability. The obtained conditions, in addition, can be used in forecasting, as well as modeling the described modes of the studied process.
Keywords: mathematical modeling, behavioral hypotheses, differential equations.
Mots-clés : information dissemination, excitement 
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A. P. Mikhailov; L. F. Yukhno. The dynamics of the dissemination of information in society during hype. Matematičeskoe modelirovanie, Tome 32 (2020) no. 12, pp. 129-140. http://geodesic.mathdoc.fr/item/MM_2020_32_12_a10/

[1] A. A. Samarskii, A. P. Mikhailov, Principles of Mathematical Modelling: Ideas, Methods, Examples, Taylor and Francis Group, 2001 | MR

[2] A. P. Mikhailov, A. P. Petrov, N. A. Marevtseva, I. V. Tretiakova, “Development of a Model of Information Dissemination in Society”, Math. Models Comp. Simul., 6:5 (2014), 535–541 | DOI | MR | Zbl

[3] A. P. Mikhailov, N. A. Marevtseva, “Models of information struggle”, Math. Models Comp. Simul., 4:3 (2012), 251–259 | DOI | Zbl

[4] A. G. Chkhartishvili, D. A. Gubanov, D. A. Novikov, Social Networks: Models of information influence, control and confrontation, Springer International Publishing, Cham, Switzerland, 2019, 158 pp. | DOI

[5] A. P. Petrov, A. I. Maslov, N. A. Tsaplin, “Modeling Position Selection by Individuals during Information Warfare in Society”, Math. Mod. and Comp. Simul., 8:4 (2016), 401–408 | DOI | MR | Zbl

[6] D. Yanagizawa-Drott, “Propaganda and conflict: Evidence from the Rwandan genocide”, The Quarterly Journal of Economics, 129:4 (2014), 1947–1994 | DOI

[7] A. P. Mikhailov, A. P. Petrov, G. B. Pronchev, O. G. Proncheva, “Modeling a Decrease in Public Attention to a Past One-Time Political Event”, Doklady Mathematics, 97:3 (2018), 247–249 | DOI | MR

[8] A. P. Petrov, S. A. Lebedev, “Online Political Flashmob: the Case of 632305222316434”, Computational mathematics and information technologies, 2019, no. 1, 17–28 | DOI | Zbl

[9] A. P. Mikhailov, L. F. Yukhno, “The formulation and preliminary study of the model of the hype dissemination of information in society”, Computational mathematics and information technologies, 2019, no. 2, 76–82 | DOI