Information warfare model based on a cellular automaton
https://doi.org/10.23947/2587-8999-2020-1-1-12-18
Abstract
This paper considers an integro-differential model of informational confrontation based on Rashevky’s neurological scheme which is difficult to modify for taking into account the differences in susceptibility of individuals to propaganda, the special influence of the reference group for a given individual or the variance of some characteristics of individuals. This can be done by using a discrete model based on a cellular automaton having macrodynamic similar to that of the continuous model. Such a model is proposed in this paper, its dynamics is studied and it is shown to yield the main results, given by the continuous model.
About the Author
M. E. StepantsovRussian Federation
Mikhail E. Stepantsov, Ph.D., Senior Researcher
4, Miusskaya Sq., Moscow
References
1. D.J. Daley, D.G. Kendall Stochastic rumors // Journal of the Institute of Mathematics and its Applications, vol. 1, pp. 42–55, 1964.
2. Liang'an Huo, Peiqing Huang, Chun-Xiang Guo. Analyzing the Dynamics of a Rumor Transmission Model with Incubation // Discrete Dynamics in Nature and Society, vol. 2012, Article ID 328151, 21 pages, 2012
3. R. Isea, R. Mayo-García Mathematical analysis of the spreading of a rumor among different subgroups of spreaders // Pure and Applied Mathematics Letters, 2015, vol. 2015, p. 50-54.
4. A.A. Samarskii, A.P. Mikhailov Principles of mathematical modelling: Ideas, methods, examples. Taylor & Francis. 2002.
5. A.P. Mikhailov, N.A. Marevtseva Models of information warfare // Mathematical Models and Computer Simulations, May 2012, Volume 4, Issue 3, pp 251–259
6. A.P. Mikhailov, A.P. Petrov Osnovnye napravleniia matematicheskogo modelirovaniia informatsionnogo protivoborstva v sotsiume // Predstavitelnaia vlast – XXI vek. 2019, N5-6. P. 36-46.
7. 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, doi:10.1134/S2070048216040141. http://link.springer.com/article/10.1134/S2070048216040141
8. Petrov A.P., Lebedev S.A. Online Political Flashmob: the Case of 632305222316434 // Computational mathematics and information technologies. — 2019. — No 1. — P. 17–28. doi: 10.23947/2587-8999-2019-1-1-17-28 http://cmit-journal.ru/upload/iblock/dfb/_-2019-1_2.pdf
9. Rashevsky N. Mathematical biophysics: physico-mathematical foundations of biology. − Univ. of Chicago, Chicago Press. – 1938
10. Proncheva O., Petrov A. Response function to propaganda in consolidated and polarized societies // Information wars – 2018. – 3 (47). – P. 50-53.
11. Stepantsov M.E. Simulation of the “Power–Society–Economics” System with Elements of Corruption Based on Cellular Automata // Mathematical Models and Computer Simulations, March 2018, Volume 10, Issue 2. P. 249–254. https://link.springer.com/article/10.1134/S2070048218020126
Review
For citations:
Stepantsov M.E. Information warfare model based on a cellular automaton. Computational Mathematics and Information Technologies. 2020;4(1):12-18. https://doi.org/10.23947/2587-8999-2020-1-1-12-18