Doklady Mathematics

, Volume 97, Issue 3, pp 247–249 | Cite as

Modeling a Decrease in Public Attention to a Past One-Time Political Event

  • A. P. MikhailovEmail author
  • A. P. Petrov
  • G. B. Pronchev
  • O. G. Proncheva


A model is introduced that describes a decrease in public attention to a past one-time political event, such as one-round elections, referendums, and coup d’état attempts. The number of web search queries is taken as an empirical measure of public attention to the event. The model is shown to match actual data.


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  1. 1.
    A. Boldyreva, O. Sobolevskiy, M. Alexandrov, and V. Danilova, “Creating collections of descriptors of events and processes based on Internet queries,” Proceedings of the 14th Mexican International Conference on Artificial Intelligence (MICAI-2016), Springer, LNAI, 10061/10062 (2016).Google Scholar
  2. 2.
    S. Baker, “What drives job search: Evidence from Google search data” [electronic resource], Technical Report (Stanford Univ., Stanford, 2011).Google Scholar
  3. 3.
    G. Chen, H. Shen, T. Ye, G. Chen, and N. Kerr, A Kinetic Model for the Spread of Rumor in Emergencies, Discrete Dyn. Nature and Soc., 2013. Article ID 605854.Google Scholar
  4. 4.
    D. J. Daley and D. G. Kendall, “Stochastic rumors,” IMA J. Appl. Math. 1 (1), 42–55 (1965).CrossRefGoogle Scholar
  5. 5.
    A. A. Samarskii and A. P. Mikhailov, Principles of Mathematical Modeling: Ideas, Methods, Examples (CRC, Boca Raton, FL, 2001)].zbMATHGoogle Scholar
  6. 6.
    A. P. Mikhailov, A. P. Petrov, N. A. Marevtseva, and I. V. Tretiakova, “Development of a model information dissemination in society,” Math. Models Computer Simul. 6 (5), 535–541 (2014).CrossRefGoogle Scholar
  7. 7.
    A. P. Petrov, A. I. Maslov, and N. A. Tsaplin, “Modeling position selection by individuals during information warfare in society,” Math. Models Computer Simul. 8 (4), 401–408 (2016).MathSciNetCrossRefGoogle Scholar
  8. 8.
    N. Rashevsky, “Outline of a physico-mathematical theory of excitation and inhibition,” Protoplasma 20, 180–188 (1933).CrossRefGoogle Scholar
  9. 9.
    N. Rashevsky, Mathematical Biophysics: Physico-Mathematical Foundations of Biology (Univ. of Chicago, Chicago Press, 1938).zbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • A. P. Mikhailov
    • 1
    Email author
  • A. P. Petrov
    • 1
  • G. B. Pronchev
    • 2
  • O. G. Proncheva
    • 1
    • 3
  1. 1.Keldysh Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia
  2. 2.Faculty of SociologyMoscow State UniversityMoscowRussia
  3. 3.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow oblastRussia

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