IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v485y2025ics0096300324004806.html
   My bibliography  Save this article

Exploring the limits of the law of mass action in the mean field description of epidemics on Erdös-Rényi networks

Author

Listed:
  • Muñoz, Francisco J.
  • Meacci, Luca
  • Nuño, Juan Carlos
  • Primicerio, Mario

Abstract

The manner epidemics occurs in a social network depends on various elements, with two of the most influential being the relationships among individuals in the population and the mechanism of transmission. In this paper, we assume that the social network has a homogeneous random topology of Erdös-Rényi type. Regarding the contagion process, we assume that the probability of infection is proportional to the proportion of infected neighbours.

Suggested Citation

  • Muñoz, Francisco J. & Meacci, Luca & Nuño, Juan Carlos & Primicerio, Mario, 2025. "Exploring the limits of the law of mass action in the mean field description of epidemics on Erdös-Rényi networks," Applied Mathematics and Computation, Elsevier, vol. 485(C).
    • Handle: RePEc:eee:apmaco:v:485:y:2025:i:c:s0096300324004806
    DOI: 10.1016/j.amc.2024.129019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300324004806
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2024.129019?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Eberhard O Voit & Harald A Martens & Stig W Omholt, 2015. "150 Years of the Mass Action Law," PLOS Computational Biology, Public Library of Science, vol. 11(1), pages 1-7, January.
    Full references (including those not matched with items on IDEAS)

    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. Mathias Foo & Declan G Bates & Ozgur E Akman, 2020. "A simplified modelling framework facilitates more complex representations of plant circadian clocks," PLOS Computational Biology, Public Library of Science, vol. 16(3), pages 1-34, March.
    2. Kaitaniemi, Pekka & Lintunen, Anna & Sievänen, Risto, 2020. "Power-law estimation of branch growth," Ecological Modelling, Elsevier, vol. 416(C).
    3. Vasiliki Bitsouni & Nikolaos Gialelis & Ioannis G. Stratis, 2022. "Rigorous Analysis of the Quasi-Steady-State Assumption in Enzyme Kinetics," Mathematics, MDPI, vol. 10(7), pages 1-29, March.
    4. Vinh Q. Mai & Martin Meere, 2021. "Modelling the Phosphorylation of Glucose by Human hexokinase I," Mathematics, MDPI, vol. 9(18), pages 1-24, September.

    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:eee:apmaco:v:485:y:2025:i:c:s0096300324004806. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.