title: Generalized model of information spreading in continuous time
metadata.name: dc.contributor.author
metadata.value: Karelin, Vladimir Vitalievich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Bure, Vladimir Mansurovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Svirkin, Mihail Vladimirovich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-05-18T12:30:23Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-05-18T12:30:23Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Karelin V. V., Bure V. M., Svirkin M. V. Generalized model of information spreading in continuous time. Vestnik of Saint Petersburg University. Applied mathematics. Computer science. Control processes, 2017, volume 13, issue 1, pp. 74–80.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2017.107
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6354
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The diffusion of information or spreading of rumours is a social phenomenon and plays a
  significant role in a daily life. Rumours play a very important role in social life and have existed
  as a social fact since ancient times. The rumour model explains the spread of rumours and
  serves as a tool for understanding this social phenomenon. Rumours in economics have become
  more intensively discussed and investigated in recent decades. There are examples of rumour
  dynamics based on communication and exchange at auctions, in the stock markets and during
  trading. These backgrounds and motivations give the basis for a mathematical model of the
  diffusion of information or the spreading of rumours. We give a model that is a generalization
  of the classical Maki—Thompson model and the stochastic Daley—Kendall model of rumour
  spreading using the probability approach. A new parameter is suggested for the probability of
  rumour spreading. The generalized model is formulated and is considered in continuous time.
  The process of spreading rumours is described by a system of linear differential equations. The
  general solution for dynamics of spreading of rumours is constructed. Refs 13. Figs 2. Tables 2.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке Санкт-Петербургского государственного университета (грант № 9.38.205.2014).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 13; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: information networks
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: differential equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: probability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: spreading rumors
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Generalized model of information spreading in continuous time
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 07-Karelin.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6354/1/07-Karelin.pdf
resources.format: Adobe PDF
resources.size: 311,23 kB