IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0246961.html
   My bibliography  Save this article

Fast and principled simulations of the SIR model on temporal networks

Author

Listed:
  • Petter Holme

Abstract

The Susceptible–Infectious–Recovered (SIR) model is the canonical model of epidemics of infections that make people immune upon recovery. Many of the open questions in computational epidemiology concern the underlying contact structure’s impact on models like the SIR model. Temporal networks constitute a theoretical framework capable of encoding structures both in the networks of who could infect whom and when these contacts happen. In this article, we discuss the detailed assumptions behind such simulations—how to make them comparable with analytically tractable formulations of the SIR model, and at the same time, as realistic as possible. We also present a highly optimized, open-source code for this purpose and discuss all steps needed to make the program as fast as possible.

Suggested Citation

  • Petter Holme, 2021. "Fast and principled simulations of the SIR model on temporal networks," PLOS ONE, Public Library of Science, vol. 16(2), pages 1-15, February.
  • Handle: RePEc:plo:pone00:0246961
    DOI: 10.1371/journal.pone.0246961
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0246961
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0246961&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0246961?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. Luis E C Rocha & Fredrik Liljeros & Petter Holme, 2011. "Simulated Epidemics in an Empirical Spatiotemporal Network of 50,185 Sexual Contacts," PLOS Computational Biology, Public Library of Science, vol. 7(3), pages 1-9, March.
    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. Lazebnik, Teddy, 2023. "Computational applications of extended SIR models: A review focused on airborne pandemics," Ecological Modelling, Elsevier, vol. 483(C).
    2. Tao, Li & Kong, Shengzhou & He, Langzhou & Zhang, Fan & Li, Xianghua & Jia, Tao & Han, Zhen, 2022. "A sequential-path tree-based centrality for identifying influential spreaders in temporal networks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

    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. Eugenio Valdano & Davide Colombi & Chiara Poletto & Vittoria Colizza, 2023. "Epidemic graph diagrams as analytics for epidemic control in the data-rich era," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    2. Eugenio Valdano & Chiara Poletto & Armando Giovannini & Diana Palma & Lara Savini & Vittoria Colizza, 2015. "Predicting Epidemic Risk from Past Temporal Contact Data," PLOS Computational Biology, Public Library of Science, vol. 11(3), pages 1-19, March.
    3. Heetae Kim & Petter Holme, 2015. "Network Theory Integrated Life Cycle Assessment for an Electric Power System," Sustainability, MDPI, vol. 7(8), pages 1-15, August.
    4. Luis E C Rocha & Vincent D Blondel, 2013. "Bursts of Vertex Activation and Epidemics in Evolving Networks," PLOS Computational Biology, Public Library of Science, vol. 9(3), pages 1-9, March.
    5. Liu, Kang & Yin, Ling & Ma, Zhanwu & Zhang, Fan & Zhao, Juanjuan, 2020. "Investigating physical encounters of individuals in urban metro systems with large-scale smart card data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    6. Zhao, Xiuming & Yu, Hongtao & Li, Shaomei & Liu, Shuxin & Zhang, Jianpeng & Cao, Xiaochun, 2022. "Effects of memory on spreading processes in non-Markovian temporal networks based on simplicial complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    7. Anirban Dasgupta & Srijan Sengupta, 2022. "Scalable Estimation of Epidemic Thresholds via Node Sampling," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 321-344, June.
    8. Jeffrey A. Smith & Jessica Burow, 2020. "Using Ego Network Data to Inform Agent-based Models of Diffusion," Sociological Methods & Research, , vol. 49(4), pages 1018-1063, November.
    9. Yanjie Xu & Tao Ren & Shixiang Sun, 2021. "Identifying Influential Edges by Node Influence Distribution and Dissimilarity Strategy," Mathematics, MDPI, vol. 9(20), pages 1-13, October.
    10. Hong, Xiao & Han, Yuexing & Wang, Bing, 2023. "Impacts of detection and contact tracing on the epidemic spread in time-varying networks," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    11. Hao, Hongchang & Xing, Wanli & Wang, Anjian & Song, Hao & Han, Yawen & Zhao, Pei & Xie, Ziqi & Chen, Xuemei, 2022. "Multi-layer networks research on analyzing supply risk transmission of lithium industry chain," Resources Policy, Elsevier, vol. 79(C).
    12. Wang, Min & Li, Wanchun & Guo, Yuning & Peng, Xiaoyan & Li, Yingxiang, 2020. "Identifying influential spreaders in complex networks based on improved k-shell method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

    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:pone00:0246961. 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.