IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v56y1995i1p57-75.html
   My bibliography  Save this article

Limit theorems for multitype epidemics

Author

Listed:
  • Andersson, Håkan
  • Djehiche, Boualem

Abstract

By means of the law of large numbers and the central limit theorem, we compare the spatial epidemic model proposed by Kendall with a sequence of multitype epidemics, viewed as Hilbert space-valued stochastic processes. In the limit, the fluctuation process turns out to be an infinite-dimensional Ornstein-Uhlenbeck process.

Suggested Citation

  • Andersson, Håkan & Djehiche, Boualem, 1995. "Limit theorems for multitype epidemics," Stochastic Processes and their Applications, Elsevier, vol. 56(1), pages 57-75, March.
    • Handle: RePEc:eee:spapps:v:56:y:1995:i:1:p:57-75
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(94)00059-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Blount, Douglas, 1993. "Limit theorems for a sequence of nonlinear reaction-diffusion systems," Stochastic Processes and their Applications, Elsevier, vol. 45(2), pages 193-207, April.
    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. Alexander Aurell & René Carmona & Gökçe Dayanıklı & Mathieu Laurière, 2022. "Finite State Graphon Games with Applications to Epidemics," Dynamic Games and Applications, Springer, vol. 12(1), pages 49-81, March.

    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. Blount, Douglas, 1996. "Fourier analysis applied to SPDEs," Stochastic Processes and their Applications, Elsevier, vol. 62(2), pages 223-242, July.

    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:spapps:v:56:y:1995:i:1:p:57-75. 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: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.