IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v391y2012i19p4483-4486.html
   My bibliography  Save this article

On the time to extinction from quasi-stationarity: A unified approach

Author

Listed:
  • Artalejo, J.R.

Abstract

This note provides a unified approach to the distribution of the time to extinction from quasi-stationarity for general Markov chains evolving both in discrete and in continuous time. Our results generalize a number of similar derivations which were established ad hoc for a variety of stochastic epidemic models. On the other hand, the obtained results unify the infinite irreducible case and the finite (reducible or irreducible) case which are typically presented under separate formulations in the literature for Markov chains.

Suggested Citation

  • Artalejo, J.R., 2012. "On the time to extinction from quasi-stationarity: A unified approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4483-4486.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:19:p:4483-4486
    DOI: 10.1016/j.physa.2012.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112003603
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2012.05.004?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. Pauline Coolen-Schrijner & Erik A. Doorn, 2006. "Quasi-stationary Distributions for a Class of Discrete-time Markov Chains," Methodology and Computing in Applied Probability, Springer, vol. 8(4), pages 449-465, December.
    2. de Oliveira, Marcelo M. & Dickman, Ronald, 2004. "Quasi-stationary distributions for models of heterogeneous catalysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 525-542.
    3. Dickman, Ronald & Martins de Oliveira, Marcelo, 2005. "Quasi-stationary simulation of the contact process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(1), pages 134-141.
    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. van Doorn, Erik A. & Pollett, Philip K., 2013. "Quasi-stationary distributions for discrete-state models," European Journal of Operational Research, Elsevier, vol. 230(1), pages 1-14.
    2. He, Zhidong & Van Mieghem, Piet, 2018. "The spreading time in SIS epidemics on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 317-330.

    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. Peyrard, N. & Dieckmann, U. & Franc, A., 2008. "Long-range correlations improve understanding of the influence of network structure on contact dynamics," Theoretical Population Biology, Elsevier, vol. 73(3), pages 383-394.

    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:phsmap:v:391:y:2012:i:19:p:4483-4486. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.