Abstract:
The paper deals with a model of information warfare in a society when one of competitors periodically destabilizes the system with short abrupt increasing of intensity of media propaganda. The model takes the form of two nonlinear ordinary differential equations with periodic discontinuous right-hand side. Asymptotics of periodic solutions is built in the case of low-intensity dissemination of information through interpersonal communication. The transient regime is investigated numerically.
Keywords:
mathematical modeling, information warfare, media propaganda, interpersonal communication, differential equations.
Citation:
A. P. Mikhailov, A. P. Petrov, O. G. Proncheva, N. A. Marevtseva, “A model of information warfare in a society under periodic destabilizing effect”, Mat. Model., 29:2 (2017), 23–32; Math. Models Comput. Simul., 9:5 (2017), 580–586
\Bibitem{MikPetPro17}
\by A.~P.~Mikhailov, A.~P.~Petrov, O.~G.~Proncheva, N.~A.~Marevtseva
\paper A model of information warfare in a society under periodic destabilizing effect
\jour Mat. Model.
\yr 2017
\vol 29
\issue 2
\pages 23--32
\mathnet{http://mi.mathnet.ru/mm3812}
\elib{https://elibrary.ru/item.asp?id=28912732}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 5
\pages 580--586
\crossref{https://doi.org/10.1134/S2070048217050106}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029748086}
Linking options:
https://www.mathnet.ru/eng/mm3812
https://www.mathnet.ru/eng/mm/v29/i2/p23
This publication is cited in the following 5 articles:
V. G. Tsibulin, Z. Kh. Khosaeva, “Matematicheskaya model differentsiatsii obschestva s sotsialnoi napryazhennostyu”, Kompyuternye issledovaniya i modelirovanie, 11:5 (2019), 999–1012
B. N. Chetverushkin, V. P. Osipov, V. I. Baluta, “Podkhody k modelirovaniyu posledstvii prinyatiya reshenii v usloviyakh protivodeistviya”, Preprinty IPM im. M. V. Keldysha, 2018, 043, 15 pp.
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”, Math. Models Comput. Simul., 11:2 (2019), 190–197
C. Kopp, K. B. Korb, B. I. Mills, “Information-theoretic models of deception: modelling cooperation and diffusion in populations exposed to “fake news””, PLoS One, 13:11 (2018), e0207383
Sukhodolov A.P., Popkova E.G., Litvinova T.N., “Basic Characteristics of Information Economy”, Models of Modern Information Economy: Conceptual Contradictions and Practical Examples, eds. Sukhodolov A., Popkova E., Litvinova T., Emerald Group Publishing Ltd, 2018, 17–24