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Contact processes with random connection weights on regular graphs

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  • 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
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    References listed on IDEAS

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    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.
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    Cited by:

    1. 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.
    2. 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.

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