IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i20p4749-4759.html
   My bibliography  Save this article

Contact processes with random connection weights on regular graphs

Author

Listed:
  • Xue, Xiaofeng

Abstract

In this paper we study the asymptotic critical value of contact processes with random connection weights, sitting on a degree-increasing sequence of r-regular graph Gr. We propose a method to generalize the asymptotics results for λc(Zd) and λc(Td) of classical contact processes as well as of recent work for contact processes on complete graphs with random connection weights. Only the lower bound is rigorously proved; it is conjectured, however, that the lower bound gives the right asymptotic behavior. For comparison purposes we also introduce binary contact path processes with random connection weights, whose asymptotic behavior of the critical value is obtained.

Suggested Citation

  • Xue, Xiaofeng, 2013. "Contact processes with random connection weights on regular graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4749-4759.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:4749-4759
    DOI: 10.1016/j.physa.2013.06.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711300527X
    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.2013.06.029?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. Peterson, Jonathon, 2011. "The contact process on the complete graph with random vertex-dependent infection rates," Stochastic Processes and their Applications, Elsevier, vol. 121(3), pages 609-629, March.
    2. Wang, Jia-Zeng & Qian, Min & Qian, Hong, 2012. "Circular stochastic fluctuations in SIS epidemics with heterogeneous contacts among sub-populations," Theoretical Population Biology, Elsevier, vol. 81(3), pages 223-231.
    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. Xue, Xiaofeng, 2016. "Critical value for contact processes on clusters of oriented bond percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 205-215.
    2. Xue, Xiaofeng, 2016. "Critical value for the contact process with random recovery rates and edge weights on regular tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 793-806.

    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. Xue, Xiaofeng, 2016. "Critical value for contact processes on clusters of oriented bond percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 205-215.
    2. Xue, Xiaofeng, 2017. "Law of large numbers for the SIR model with random vertex weights on Erdős–Rényi graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 434-445.
    3. Wang, Jia-Zeng & Peng, Wei-Hua, 2020. "Fluctuations for the outbreak prevalence of the SIR epidemics in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    4. Xue, Xiaofeng, 2016. "Critical value for the contact process with random recovery rates and edge weights on regular tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 793-806.
    5. Garrett Jenkinson & John Goutsias, 2014. "Intrinsic Noise Induces Critical Behavior in Leaky Markovian Networks Leading to Avalanching," PLOS Computational Biology, Public Library of Science, vol. 10(1), pages 1-15, January.

    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:392:y:2013:i:20:p:4749-4759. 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.