Abstract:
The model of information warfare in society is considered in the absence of forgetting information by individuals in the case when one of the parties periodically destabilizes the system by means of a short-term jump in the increase in the intensity of broadcasting of the mass media. The model has the form of a system of two nonlinear ordinary differential equations with periodic discontinuous right-hand side. The asymptotics of the first order in a small parameter is constructed, a numerical example illustrating the qualitative behavior of the solution and the closeness of the constructed asymptotics to the exact solution is given.
Keywords:
mathematical modeling of social processes, information warfare, ordinary
differential equations, asymptotic solution, numerical experiment.
Citation:
A. P. Mikhailov, A. P. Petrov, O. G. Proncheva, “A model of information warfare in a society with a piecewise constant periodic function of desstabilizing impact”, Mat. Model., 30:7 (2018), 47–60; Math. Models Comput. Simul., 11:2 (2019), 190–197
\Bibitem{MikPetPro18}
\by A.~P.~Mikhailov, A.~P.~Petrov, O.~G.~Proncheva
\paper A model of information warfare in a society with a piecewise constant periodic function of desstabilizing impact
\jour Mat. Model.
\yr 2018
\vol 30
\issue 7
\pages 47--60
\mathnet{http://mi.mathnet.ru/mm3984}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 2
\pages 190--197
\crossref{https://doi.org/10.1134/S2070048219020108}
Linking options:
https://www.mathnet.ru/eng/mm3984
https://www.mathnet.ru/eng/mm/v30/i7/p47
This publication is cited in the following 9 articles:
Nikolay Belotelov, Fedor Loginov, Communications in Computer and Information Science, 1913, Advances in Optimization and Applications, 2024, 147
Maria Utenkova, Elena Maksimova, Lecture Notes in Networks and Systems, 863, AISMA-2024: International Workshop on Advanced Information Security Management and Applications, 2024, 311
I. Polyansky, K. Loginov, “Optimal nonlinear filtering of information impact estimates in a stochastic model of information warfare”, Informatics and Automation, 22:4 (2023), 745–776
A. P. Petrov, O. G. Podlipskaya, G. B. Pronchev, “Modelirovanie dinamiki obschestvennogo vnimaniya k protyazhennym protsessam na primere pandemii COVID-19”, Kompyuternye issledovaniya i modelirovanie, 14:5 (2022), 1131–1141
K. Loginov, “Numerical solution of the problem of filtering estimates information impact on the electorate”, Informatics and Automation, 21:3 (2022), 624–652
M. E. Stepantsov, “Cellular automaton based model of information warfare”, Math. Models Comput. Simul., 13:2 (2021), 210–217
Ivan V. Kozitsin, Alexander G. Chkhartishvili, 2020 13th International Conference “Management of large-scale system development” (MLSD), 2020, 1
Alexander G. Chartishvili, Ivan V. Kozitsin, Vyacheslav L. Goiko, Eduard R. Saifulin, 2019 Twelfth International Conference “Management of large-scale system development” (MLSD), 2019, 1
Ivan V. Kozitsin, Artemy M. Marchenko, Vyacheslav L. Goiko, Roman V. Palkin, 2019 Twelfth International Conference “Management of large-scale system development” (MLSD), 2019, 1
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