Contact process under renewals I

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

Stochastic Processes and their Applications, 2019, vol. 129, issue 8, 2903-2911

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.

Keywords: Contact process; Percolation; Renewal process (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:129:y:2019:i:8:p:2903-2911

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DOI: 10.1016/j.spa.2018.08.007

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