Modeling of making choices by individuals during information warfare in society
Matematičeskoe modelirovanie, Tome 27 (2015) no. 12, pp. 137-148.

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The paper deals with the construction and primary analysis of a mathematical model of information warfare in society, putting into focus the process of making choices by an individual who is choosing between the offered two points. The model is based on the traditional model of imitative behavior. The constructed model has the form of a nonlinear integro-differential equation in which the unknown function is under the sign of the derivative and in the limit of integration, and also acts as an argument from some exogenously given function.
Keywords: mathematical modeling, information warfare, imitative behavior, incentives for behavior of individuals.
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A. P. Petrov; A. I. Maslov; N. A. Tsaplin. Modeling of making choices by individuals during information warfare in society. Matematičeskoe modelirovanie, Tome 27 (2015) no. 12, pp. 137-148. http://geodesic.mathdoc.fr/item/MM_2015_27_12_a9/

[1] A. P. Mikhailov, N. V. Kliusov, “O svoistvakh prosteishei matematicheskoi modeli rasprostraneniia informatsionnoi ugrozy”, Matematicheskoe modelirovanie sotsialnyh protsessov, 4, MAKS Press, M., 2002, 115–123

[2] A. P. Mikhailov, K. V. Izmodenova, “Ob optimalnom upravlenii protsessom rasprostraneniia informatsii”, Matematicheskoe modelirovanie, 17:5 (2005), 67–76 | MR

[3] N. A. Marevtseva, “Prosteisheishie matematicheskie modeli informatsionnogo protivoborstva”, Sbornik trudov Vserossiiskikh nauchnykh molodezhnykh shkol, Matematicheskoe modelirovanie i sovremennye informatsionnye tekhnologii, 8, Izd-vo Iuzhnogo federalnogo universiteta, Rostov-na-Donu, 2009, 354–363

[4] N. A. Marevtseva, “Prosteisheishie matematicheskie modeli informatsionnogo protivoborstva”, Matematicheskoe modelirovanie sotsialnyh protsessov, 11, MAKS Press, M., 2010, 59–72

[5] N. A. Marevtseva, “Nekotorye matematicheskie modeli informatsionnogo napadeniia i informatsionnogo protivoborstva”, Sotsiologiia, 2011, no. 3, 26–35

[6] 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, 6:5 (2014), 535–541 | DOI | MR | Zbl

[7] A. P. Mikhailov, N. A. Marevtseva, “Models of information warfare”, Mathematical Models and Computer Simulations, 4:3 (2012), 251–259 | DOI | Zbl

[8] F. M. Bass, “A new product growth for model consumer durables”, Management Science, 15 (1969), 215–227 | DOI | Zbl

[9] L. L. Delitsyn, Kolichestvennye modeli rasprostraneniia novovvedenii v sfere informatsionnykh i telekommunikatsionnykh tekhnologii, MGUKI, M., 2009, 106 pp.

[10] D. A. Gubanov, D. A. Novikov, A. G. Chkhartishvili, Sotsialnye seti: modeli informatsionnogo vliianiia, upravleniia i proitivoborstva, Fizmatlit, M., 2010, 228 pp.

[11] D. J. Daley, D. G. Kendall, “Stochastic Rumors”, Journal of the Institute of Mathematics and its Applications, 1 (1964), 42–55 | DOI | MR

[12] N. Rashevsky, “Outline of a Physico-mathematical Theory of Excitation and Inhibition”, Protoplasma, 1933

[13] N. Rashevskii, “Dve modeli: podrazhatelnoe povedenie i raspredelenie statusa”, Matematicheskie metody v sovremennoi burzhuaznoi sotsiologii, Sbornik statei, ed. G. V. Osipov, Progress, M., 1966, 175–197

[14] V. A. Shvedovskii, “Dinamicheskaia model elektoralnogo povedeniia”, Matematicheskoe modelirovanie, 12 (2000), 46–56 | MR

[15] A. P. Mikhailov, L. F. Yukhno, “Investigation of Some Mathematical Models of Electorate Evolution”, Differential Equations, 38:10 (2002), 1406–1414 | DOI | MR | Zbl

[16] A. P. Mikhailov, V. A. Shvedovskii, A. I. Maslov, V. F. Kovalev, “Obobshchennaia model elektoralnogo povedeniia i ee primenenie k izucheniiu etnopoliticheskikh konfliktov”, Matematicheskoe modelirovanie, 15 (2003), 39–56 | MR | Zbl

[17] A. P. Mikhailov, Modelirovanie sistemy vlast-obshchestvo, Fizmatlit, M., 2006, 144 pp.