IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v129y2019i8p2903-2911.html
   My bibliography  Save this article

Contact process under renewals I

Author

Listed:
  • Fontes, Luiz Renato G.
  • Marchetti, Domingos H.U.
  • Mountford, Thomas S.
  • Vares, Maria Eulalia

Abstract

We investigate a non-Markovian analogue of the Harris contact process in Zd: an individual is attached to each site x∈Zd, and it can be infected or healthy; the infection propagates to healthy neighbours just as in the usual contact process, according to independent exponential times with a fixed rate λ; nevertheless, the possible recovery times for an individual are given by the points of a renewal process with heavy tail; the renewal processes are assumed to be independent for different sites. We show that the resulting processes have a critical value equal to zero.

Suggested Citation

  • Fontes, Luiz Renato G. & Marchetti, Domingos H.U. & Mountford, Thomas S. & Vares, Maria Eulalia, 2019. "Contact process under renewals I," Stochastic Processes and their Applications, Elsevier, vol. 129(8), pages 2903-2911.
    • Handle: RePEc:eee:spapps:v:129:y:2019:i:8:p:2903-2911
    DOI: 10.1016/j.spa.2018.08.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304414918304186
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spa.2018.08.007?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.

    Citations

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


    Cited by:

    1. Nguyen, Hieu T. & Felder, Frank A., 2020. "Generation expansion planning with renewable energy credit markets: A bilevel programming approach," Applied Energy, Elsevier, vol. 276(C).
    2. Jiang, Zhimin & Cai, Jie & Moses, Paul S., 2020. "Smoothing control of solar photovoltaic generation using building thermal loads," Applied Energy, Elsevier, vol. 277(C).
    3. Chudinzow, Dimitrij & Nagel, Sylvio & Güsewell, Joshua & Eltrop, Ludger, 2020. "Vertical bifacial photovoltaics – A complementary technology for the European electricity supply?," Applied Energy, Elsevier, vol. 264(C).
    4. Fontes, Luiz Renato & Mountford, Thomas S. & Vares, Maria Eulália, 2020. "Contact process under renewals II," Stochastic Processes and their Applications, Elsevier, vol. 130(2), pages 1103-1118.
    5. Fontes, Luiz Renato & Mountford, Thomas S. & Ungaretti, Daniel & Vares, Maria Eulália, 2023. "Renewal Contact Processes: Phase transition and survival," Stochastic Processes and their Applications, Elsevier, vol. 161(C), pages 102-136.

    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:129:y:2019:i:8:p:2903-2911. 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: 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.