vmaitComputational Mathematics and Information TechnologiesComputational Mathematics and Information Technologies2587-8999Донской государственный технический университет10.23947/2587-8999-2019-2-2-76-82vmait-57Research ArticleСтатьиФормулировка и предварительное исследование модели ажиотажного распространения информации в социумеThe formulation and preliminary study of the model of the hype dissemination of information in societyМихайловАлександр ПетровичMikhailovAlexander P.

Михайлов Александр Петрович, доктор физико-математических наук, главный научный сотрудник Института прикладной математики им. М.В. Келдыша РАН (РФ, г. Москва, Миусская пл., 4).

Mikhailov Alexander P., Dr.Sci. (Math), Main Researcher at Keldysh Institute of Applied Mathematics (4, Miusskaya Sq., Moscow, Russian Federation)

ЮхноЛюдмила ФилипповнаYukhnoLyudmila F.

Юхно Людмила Филипповна, сотрудник Института прикладной математики им. М.В. Келдыша РАН (РФ, г. Москва, Миусская пл., 4).

Yukhno Lyudmila F., Keldysh Institute of Applied Mathematics (4, Miusskaya Sq., Moscow, Russian Federation)

yukhno@imamod.ruИнститут прикладной математики им. М.В. Келдыша РАН (РФ, г. Москва, Миусская пл., 4)РоссияKeldysh Institute of Applied Mathematics (4, Miusskaya Sq., Moscow, Russian Federation)Russian FederationИнститута прикладной математики им. М.В. Келдыша РАН (РФ, г. Москва, Миусская пл., 4)РоссияKeldysh Institute of Applied Mathematics (4, Miusskaya Sq., Moscow, Russian Federation)Russian Federation2019280320233257Copyright © Михайлов А.П., Юхно Л.Ф., 20232023Михайлов А.П., Юхно Л.Ф.Mikhailov A.P., Yukhno L.F.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.cmit-journal.ru/jour/article/view/57

Рассматривается процесс распространения информации в социуме среди ее возможных адептов (индивидов, воспринимающих эту информацию) в условиях «ажиотажа», под которым понимается повышенный уровень интереса к усвоению информации. При этом наличие ажиотажа означает, что влияние на скорость изменения текущего количества адептов, обозначенного N, складывается из влияния не только средств массовой информации и зависящего от значения N влияния межличностных контактов между индивидами, но и ажиотажно-поведенческого влияния адептов, зависящего, кроме того, от скорости изменения N по времени. Предложена и предварительно изучена соответствующая математическая модель этого процесса. Модель имеет вид обыкновенного дифференциального уравнения первого порядка, не разрешенного относительно производной. Определены области изменения параметров модели, при которых решение поставленной задачи заведомо существует. Показано, что при сформулированных в работе ограничениях на параметры наличие ажиотажа ускоряет процесс восприятия социумом предлагаемой информации, т.е. увеличивает скорость возрастания числа ее адептов.

The process of disseminating information in society among its possible adherents (individuals who perceive this information) under the conditions of «excitement» is considered, which means an increased level of interest in the assimilation of information. Moreover, the presence of excitement means that the influence on the rate of change of the current number of adherents, denoted N, consists of the influence not only of the media and the influence of interpersonal contacts between individuals depending on the value of N, but also the excitement and behavioral influence of adherents, , in addition, the rate of change of N over time. A corresponding mathematical model of this process is proposed and preliminary studied. The model has the form of an ordinary differential equation of the first order, not resolved with respect to the derivative. The areas of variation of the model parameters are determined for which the solution of the problem obviously exists. It is shown that under the restrictions on the parameters formulated in the work, the presence of excitement accelerates the process of society's perception of the proposed information, i.e. increases the rate of increase in the number of its followers.

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The authors declare that there are no conflicts of interest present.