Abstract:
The process of dissemination of information in society consisting of possible adepts
(individuals who perceive this information) in the presence of distrust, which means a
decrease in the level of interest in assimilating the proposed information, is considered. It
is assumed that the degree of influence of distrust is determined by the excitement, i.e.
the rate of change in the number of adepts over time. A mathematical model of this
process is considered, which is the Cauchy problem for a nonlinear ordinary differential
equation depending on several numerical parameters. As a result of the study, conditions
are formulated that must be satisfied by the parameters of the problem for its correct
solvability. The obtained conditions, in addition, can be used in forecasting, as well as
modeling the described modes of the studied process.
Keywords:
mathematical modeling, behavioral hypotheses, information dissemination,
excitement, differential equations.
Citation:
A. P. Mikhailov, L. F. Yukhno, “The dynamics of the dissemination of information in society during hype”, Mat. Model., 32:12 (2020), 129–140; Math. Models Comput. Simul., 13:4 (2021), 716–722
\Bibitem{MikYuk20}
\by A.~P.~Mikhailov, L.~F.~Yukhno
\paper The dynamics of the dissemination of information in society during hype
\jour Mat. Model.
\yr 2020
\vol 32
\issue 12
\pages 129--140
\mathnet{http://mi.mathnet.ru/mm4249}
\crossref{https://doi.org/10.20948/mm-2020-12-11}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 4
\pages 716--722
\crossref{https://doi.org/10.1134/S2070048221040165}
Linking options:
https://www.mathnet.ru/eng/mm4249
https://www.mathnet.ru/eng/mm/v32/i12/p129
This publication is cited in the following 1 articles:
K. Loginov, “Numerical solution of the problem of filtering estimates information impact on the electorate”, Informatics and Automation, 21:3 (2022), 624–652
Citation in format AMSBIB
Contact us: