IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0123876.html
   My bibliography  Save this article

Emergent User Behavior on Twitter Modelled by a Stochastic Differential Equation

Author

Listed:
  • Anders Mollgaard
  • Joachim Mathiesen

Abstract

Data from the social-media site, Twitter, is used to study the fluctuations in tweet rates of brand names. The tweet rates are the result of a strongly correlated user behavior, which leads to bursty collective dynamics with a characteristic 1/f noise. Here we use the aggregated "user interest" in a brand name to model collective human dynamics by a stochastic differential equation with multiplicative noise. The model is supported by a detailed analysis of the tweet rate fluctuations and it reproduces both the exact bursty dynamics found in the data and the 1/f noise.

Suggested Citation

  • Anders Mollgaard & Joachim Mathiesen, 2015. "Emergent User Behavior on Twitter Modelled by a Stochastic Differential Equation," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-12, May.
    • Handle: RePEc:plo:pone00:0123876
    DOI: 10.1371/journal.pone.0123876
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0123876
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0123876&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0123876?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Jeff Alstott & Ed Bullmore & Dietmar Plenz, 2014. "powerlaw: A Python Package for Analysis of Heavy-Tailed Distributions," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-11, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andrey Dmitriev & Vasily Kornilov & Svetlana Maltseva, 2018. "Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science," Complexity, Hindawi, vol. 2018, pages 1-11, December.
    2. Pan, Jun-Shan & Li, Yuan-Qi & Hu, Han-Ping & Hu, Yong, 2021. "Modeling collective behavior of posting microblogs by stochastic differential equation with jump," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    3. Andrey Dmitriev & Victor Dmitriev & Stepan Balybin, 2019. "Self-Organized Criticality on Twitter: Phenomenological Theory and Empirical Investigation Based on Data Analysis Results," Complexity, Hindawi, vol. 2019, pages 1-16, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Geeraert, Joke & Rocha, Luis E.C. & Vandeviver, Christophe, 2024. "The impact of violent behavior on co-offender selection: Evidence of behavioral homophily," Journal of Criminal Justice, Elsevier, vol. 94(C).
    2. Sumeet Kumar & Binxuan Huang & Ramon Alfonso Villa Cox & Kathleen M. Carley, 2021. "An anatomical comparison of fake-news and trusted-news sharing pattern on Twitter," Computational and Mathematical Organization Theory, Springer, vol. 27(2), pages 109-133, June.
    3. Shu Takahashi & Kento Yamamoto & Shumpei Kobayashi & Ryoma Kondo & Ryohei Hisano, 2024. "Dynamic Link and Flow Prediction in Bank Transfer Networks," Papers 2409.08718, arXiv.org, revised Oct 2024.
    4. Li, Heyang & Wu, Meijun & Wang, Yougui & Zeng, An, 2022. "Bibliographic coupling networks reveal the advantage of diversification in scientific projects," Journal of Informetrics, Elsevier, vol. 16(3).
    5. Jiaqi Liang & Linjing Li & Daniel Zeng, 2018. "Evolutionary dynamics of cryptocurrency transaction networks: An empirical study," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-18, August.
    6. Katahira, Kei & Chen, Yu & Akiyama, Eizo, 2021. "Self-organized Speculation Game for the spontaneous emergence of financial stylized facts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    7. Wang, Xuhui & Wu, Jiao & Yang, Zheng & Xu, Kesheng & Wang, Zhengling & Zheng, Muhua, 2024. "The correlation between independent edge and triangle degrees promote the explosive information spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    8. Yu Zhang & Claudio Tessone, 2024. "Bitcoin Transaction Behavior Modeling Based on Balance Data," Papers 2409.10407, arXiv.org.
    9. Juan Miguel Carrascosa & Ruben Cuevas & Roberto Gonzalez & Arturo Azcorra & David Garcia, 2015. "Quantifying the Economic and Cultural Biases of Social Media through Trending Topics," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-14, July.
    10. Bernat Salbanya & Carlos Carrasco-Farré & Jordi Nin, 2024. "Structure matters: Assessing the statistical significance of network topologies," PLOS ONE, Public Library of Science, vol. 19(10), pages 1-28, October.
    11. Zhichao Fang & Jonathan Dudek & Rodrigo Costas, 2020. "The stability of Twitter metrics: A study on unavailable Twitter mentions of scientific publications," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 71(12), pages 1455-1469, December.
    12. Iannello, Ludovico & Tonelli, Fabrizio & Cremisi, Federico & Calcagnile, Lucio Maria & Mannella, Riccardo & Amato, Giuseppe & Di Garbo, Angelo, 2025. "Criticality in neural cultures: Insights into memory and connectivity in entorhinal-hippocampal networks," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    13. John Bryden & Eric Silverman & Simon T Powers, 2022. "Modelling transitions between egalitarian, dynamic leader and absolutist power structures," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-13, February.
    14. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034, Decembrie.
    15. Roberto Mota Navarro & Hern'an Larralde Ridaura, 2016. "A detailed heterogeneous agent model for a single asset financial market with trading via an order book," Papers 1601.00229, arXiv.org, revised Jul 2016.
    16. Damien Challet & Nikita Gourianov, 2018. "Dynamical regularities of US equities opening and closing auctions," Post-Print hal-01702726, HAL.
    17. Prencipe, Dario, 2017. "The European venture capital landscape: an EIF perspective. Volume III: Liquidity events and returns of EIF-backed VC investments," EIF Working Paper Series 2017/41, European Investment Fund (EIF).
    18. Biton, Dionessa C. & Tarun, Anjali B. & Batac, Rene C., 2020. "Comparing spatio-temporal networks of intermittent avalanche events: Experiment, model, and empirical data," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    19. Sandro Claudio Lera & Didier Sornette, 2017. "GDP growth rates as confined L\'evy flights," Papers 1709.05594, arXiv.org.
    20. Laurent Gauthier, 2025. "An empirical analysis of polytheism," Quality & Quantity: International Journal of Methodology, Springer, vol. 59(2), pages 797-818, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0123876. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.