IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v23y2017i2p177-195.html
   My bibliography  Save this article

Comparison of a microscopic and a macroscopic age-dependent SIR model

Author

Listed:
  • M. Bicher
  • N. Popper
  • G. Schneckenreither

Abstract

In this work, we compare two structurally different modelling approaches for the simulation of an age-dependent SIR (susceptible, infected, recovered)-type epidemic spread: a microscopic agent-based model and a macroscopic integro-partial differential equation model. Doing so, we put a newly derived mean-field theorem for mixed state-spaces (continuous and discrete) to the test, analytically proving the asymptotic equivalence of the results of both simulations on the aggregate level. Afterwards, both models are executed and compared for abstract scenarios to affirm the derived equivalence. As both models are hereby proven to deliver (asymptotically) the same results, they can be used to supplement each other in terms of structural knowledge of the model, identification and determination of parameters and their values, as well as finally verification and validation.

Suggested Citation

  • M. Bicher & N. Popper & G. Schneckenreither, 2017. "Comparison of a microscopic and a macroscopic age-dependent SIR model," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 23(2), pages 177-195, March.
    • Handle: RePEc:taf:nmcmxx:v:23:y:2017:i:2:p:177-195
    DOI: 10.1080/13873954.2016.1232279
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13873954.2016.1232279
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13873954.2016.1232279?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.

    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:taf:nmcmxx:v:23:y:2017:i:2:p:177-195. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

    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.