Geodesic
Development of a model of information dissemination in society
Matematičeskoe modelirovanie, Tome 26 (2014) no. 3, pp. 65-74.

Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of the paper is to develop an extended model of information dissemination in society. Four mechanisms influencing the process are embedded into the model. Sufficient conditions for the stability of so-called no-adherents solution have been found.
Keywords: mathematical modeling, informational security, interpersonal communication. 
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A. P. Mikhailov; A. P. Petrov; N. A. Marevtseva; I. V. Tretiakova. Development of a model of information dissemination in society. Matematičeskoe modelirovanie, Tome 26 (2014) no. 3, pp. 65-74. http://geodesic.mathdoc.fr/item/MM_2014_26_3_a4/

[1] Samarskii A. A., Mikhailov A. P., Matematicheskoe modelirovanie, Nauka. Fizmatlit, M., 2006, 320 pp.

[2] Mikhailov A. P., Klyusov N. V., “O svoistvakh prosteishei matematicheskoi modeli rasprostraneniya informatsionnoi ugrozy”, Matematicheskoe modelirovanie sotsialnykh protsessov, 4, MAKS Press, M., 2002, 115–123

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

[4] Marevtseva N. A., “Nekotorye matematicheskie modeli informatsionnogo napadeniya i informatsionnogo protivoborstva”, Sotsiologiya, 2011, no. 3, 26–35

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

[6] Mikhailov A. P., Izmodenova K. V., “Ob optimalnom upravlenii v matematicheskoi modeli rasprostraneniya informatsii”, Trudy seminara, Matematicheskoe modelirovanie sotsialnykh protsessov, 6, MAKS Press, M., 2004

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

[8] Mikhailov A. P., Marevtseva N. A., “Modeli informatsionnoi borby”, Matematicheskoe modelirovanie, 23:10 (2011), 19–32

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

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

[11] Shvedovskii V. A., “Modelirovanie rasprostraneniya informatsii v smezhnykh sotsialnykh gruppakh”, Matematicheskie metody v sotsiologicheskom issledovanii, Nauka, M., 1981, 207–214 | MR

[12] Gubanov D. A., Novikov D. A., Chkhartishvili A. G., Sotsialnye seti: modeli informatsionnogo vliyaniya, upravleniya i protivoborstva, Fizmatlit, M., 2010, 228 pp.

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

[14] Schelling T., Micromotives and Macrobehavior, Norton, 1978

[15] Mikhailov A. P., Shvedovskii V. A., Maslov A. I., Kovalev V. F., “Obobschennaya model elektoralnogo povedeniya i ee primenenie k izucheniyu etnopoliticheskikh konfliktov”, Matem. modelirovanie, 15:8 (2003), 39–56 | MR | Zbl

[16] Shvedovskii V. A., Mikhailova P. A., “Postroenie modeli vzaimodeistviya elektoratov”, Matem. modelirovanie, 20:7 (2008), 107–118

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

[18] Shvedovskii V. A., Shvedovskii O. V., Tsaplin N. A., “Matematicheskaya model mikrodinamiki lichnostnykh izmenenii”, Matematicheskoe modelirovanie sotsialnykh protsessov, 11, Maks-press, M., 2010, 98–131

[19] Petrov A. P., Tsaplin N. A., “Vychislitelnye eksperimenty s modelyu podrazhatelnogo povedeniya”, Matematicheskoe modelirovanie sotsialnykh protsessov, 14, 2012, 81–91

[20] Marevtseva N. A., Valiullin A. N., “Vychislitelnye eksperimenty s modelyami informatsionnogo protivoborstva”, Matematicheskoe modelirovanie sotsialnykh protsessov, 14, Maks-press, M., 2012, 62–80