The formulation and preliminary study of the model of the hype dissemination of information in society
https://doi.org/10.23947/2587-8999-2019-2-2-76-82
Abstract
The process of disseminating information in society among its possible adherents (individuals who perceive this information) under the conditions of «excitement» is considered, which means an increased level of interest in the assimilation of information. Moreover, the presence of excitement means that the influence on the rate of change of the current number of adherents, denoted N, consists of the influence not only of the media and the influence of interpersonal contacts between individuals depending on the value of N, but also the excitement and behavioral influence of adherents, , in addition, the rate of change of N over time. A corresponding mathematical model of this process is proposed and preliminary studied. The model has the form of an ordinary differential equation of the first order, not resolved with respect to the derivative. The areas of variation of the model parameters are determined for which the solution of the problem obviously exists. It is shown that under the restrictions on the parameters formulated in the work, the presence of excitement accelerates the process of society's perception of the proposed information, i.e. increases the rate of increase in the number of its followers.
About the Authors
Alexander P. Mikhailov
Keldysh Institute of Applied Mathematics
(4, Miusskaya Sq., Moscow, Russian Federation)
Russian Federation
Russian Federation
Mikhailov Alexander P., Dr.Sci. (Math), Main Researcher at Keldysh Institute of Applied Mathematics (4, Miusskaya Sq., Moscow, Russian Federation)
Lyudmila F. Yukhno
Keldysh Institute of Applied Mathematics
(4, Miusskaya Sq., Moscow, Russian Federation)
Russian Federation
Russian Federation
Yukhno Lyudmila F., Keldysh Institute of Applied Mathematics (4, Miusskaya Sq., Moscow, Russian Federation)
References
1. Samarskii A.A., Mikhailov A.P. Principles of Mathematical Modelling: Ideas, Methods, Examples. 2001. Taylor and Francis Group
2. Daley D.J., Kendall D.G. Stochastic rumors // Journal of the Institute of Mathematics and its Applications, vol. 1, pp. 42–55, 1964.
3. Maki D. P., Thompson M. Mathematical Models and Applications. Prentice-Hall, Englewood Cliffs, NJ, USA, 1973.
4. Isea R., Mayo-García R. Mathematical analysis of the spreading of a ru-mor among different subgroups of spreaders // Pure and Applied Mathematics Letters, 2015, vol. 2015, p. 50-54.
5. Yanagizawa-Drott D. Propaganda and conflict: Evidence from the Rwandan genocide // The Quarterly Journal of Economics, vol. 129, no. 4, pp. 1947–1994, 2014.
6. Mikhailov A. P., Marevtseva N. A. Models of information struggle // Math. Models Comput. Simul., Vol. 4, No. 3 (2012), P. 251–259.
7. A. P. Mikhailov, A. P. Petrov, N. A. Marevtseva, I. V. Tretiakova. Development of a Model of Information Dissemination in Society // Mathematical Models and Computer Simulations, 2014, Vol. 6, No. 5, pp. 535–541.
8. Mikhailov A. P., Petrov A. P., Proncheva O. G., Marevtseva N. A. A Model of Information Warfare in a Society Under a Periodic Destabilizing Effect // Mathematical Models and Computer Simulations, 2017, Vol. 9, No. 5, pp. 580–586.
9. Mikhailov A. P., Petrov A. P., Kalinichenko M. I., Polyakov S.V. Model-ing the Simultaneous Distribution of Legal and Counterfeit Copies of Innovative Products // Mathematical Models and Computer Simulations, 2014, Vol. 6, No. 1, pp. 25–31.
10. Petrov A. P., Maslov A. I., Tsaplin N. A. Modeling Position Selection by Individuals during Information Warfare in Society // Mathematical Models and Computer Simulations, 2016, Vol. 8, No. 4, pp. 401–408.
11. A.P. Petrov, S.A. Lebedev. Online Political Flashmob: the Case of 632305222316434 // Computational mathematics and information technologies. — 2019. — No 1. — P. 17–28.
12. Chkhartishvili A.G., Gubanov D.A., Novikov D.A. Social Networks: Models of information influence, control and confrontation. - Springer, 2019. - 158 p.
13. Chkhartishvili A., Kozitsin I. Binary Separation Index for Echo Cham-ber Effect Measuring. In 2018 Eleventh International Conference" Management of large-scale system development" MLSD, pp. 1-4. 2018. IEEE
14. Mikhailov A.P. Modelirovanie sistemy "Vlast-Obshchestvo". – M.: Fizmatlit, 2006, 144 p.
Review
For citations:
Mikhailov A.P., Yukhno L.F. The formulation and preliminary study of the model of the hype dissemination of information in society. Computational Mathematics and Information Technologies. 2019;3(2). https://doi.org/10.23947/2587-8999-2019-2-2-76-82
Views:
118
Email this article 