STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 卷:129 |
Contact process under renewals I | |
Article | |
Fontes, Luiz Renato G.1  Marchetti, Domingos H. U.2  Mountford, Thomas S.3  Vares, Maria Eulalia4  | |
[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP, Brazil | |
[2] Univ Sao Paulo, Inst Fis, Sao Paulo, SP, Brazil | |
[3] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland | |
[4] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, RJ, Brazil | |
关键词: Contact process; Percolation; Renewal process; | |
DOI : 10.1016/j.spa.2018.08.007 | |
来源: Elsevier | |
【 摘 要 】
We investigate a non-Markovian analogue of the Harris contact process in Z(d): an individual is attached to each site x is an element of Z(d), 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 lambda; 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. (C) 2018 Elsevier B.V. All rights reserved.
【 授权许可】
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