Skip to main content
Log in

Cellular Automaton Based Model of Information Warfare

  • Published:
Mathematical Models and Computer Simulations Aims and scope

Abstract

This paper considers continuous models of informational warfare based on the traditional neurological scheme. Using the method of substituting differential equations by cellular automata we propose a discrete version of the information warfare model. This model is used to simulate a propaganda campaign by two parties and to carry out a number of computational experiments. It is shown that the macrodynamics of the new model correspond to one of the original model, while the discrete model has a wider range of applicability. For some problems of confrontation between two parties results similar to those of the continuous model are obtained. The proposed discrete model allows a study of the problem of the optimal single destabilization of the campaign. This study yielded original results, such as existence of the critical value of the coefficient of the influence of public opinion on the opinion of an individual, which determines the period of time when it is more advantageous for one of the parties to increase the level of its propaganda.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. D. J. Daley and D. G. Kendall, “Stochastic rumors,” IMA J. Appl. Math. 1 (1), 42–55 (1965).

    Article  Google Scholar 

  2. D. P. Maki and M. Thompson, Mathematical Models and Applications (Prentice-Hall, Englewood Cliffs, NJ, 1973).

    Google Scholar 

  3. L. Huo, P. Huang, C.-X. Guo, “Analyzing the dynamics of a rumor transmission model with incubation,” Discrete Dyn. Nat. Soc. 2012, Article ID 328 151, 1–21 (2012).

    Google Scholar 

  4. R. Isea and R. Mayo-García, “Mathematical analysis of the spreading of a rumor among different subgroups of spreaders,” Pure Appl. Math. Lett. 2015, 50–54 (2015).

    Google Scholar 

  5. A. A. Samarskii and A. P. Mikhailov, Mathematical Modeling. Ideas. Methods. Examples (Fizmatlit, Moscow, 1997) [in Russian]; English translation: Principles of Mathematical Modeling. Ideas, Methods, Examples (Taylor & Francis Group, London, 2002).

  6. A. P. Mikhailov and N. A. Marevtseva, “Models of information warfare,” Math. Models Comput. Simul. 4 (3), 251–259 (2012).

    Article  Google Scholar 

  7. A. P. Mikhailov and A. P. Petrov, “Main approaches to mathematical modeling of information warfare in society,” Predstavitelnaya Vlast — XXI Vek, No. 5–6, 36–46 (2019).

  8. A. P. Petrov, A. I. Maslov, and N. A. Tsaplin, “Modeling position selection by individuals during information warfare in society,” Math. Models Comput. Simul. 8 (4), 401–408 (2016).

    Article  MathSciNet  Google Scholar 

  9. A. P. Petrov and S. A. Lebedev, “Online political Flashmob: the case of 632 305 222 316 434,” Comput. Math. Inf. Technol. 1 (1), 17–28 (2019).

    Google Scholar 

  10. N. Rashevsky, Mathematical Biophysics: Physico-Mathematical Foundations of Biology (Univ. Chicago Press, Chicago, 1938).

  11. O. G. Proncheva and A. P. Petrov, “Response function to propaganda in consolidated and polarized societies,” Inf. Voiny, No. 3 (47), 50–53 (2018).

    Google Scholar 

  12. M. E. Stepantsov, “Simulation of the “power–society–economics” system with elements of corruption based on cellular automata,” Math. Models Comput. Simul. 10 (2), 249–254 (2018).

    Article  MathSciNet  Google Scholar 

  13. A. P. Mikhailov, A. P. Petrov, and O. G. Proncheva, “A Model of information warfare in a society with a piecewise constant function of the destabilizing impact,” Math. Models Comput. Simul. 11 (2), 190–197 (2019).

    Article  MathSciNet  Google Scholar 

Download references

Funding

This study was supported by the Russian Foundation for Basic Research, projects 18-01-00619-a, 18-01-00551-a, and 19-010-00423-a.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. E. Stepantsov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Stepantsov, M.E. Cellular Automaton Based Model of Information Warfare. Math Models Comput Simul 13, 210–217 (2021). https://doi.org/10.1134/S2070048221020162

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070048221020162

Keywords:

Navigation