期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2019
卷号：XVI
期号：1
页码：49-83
DOI：10.30757/ALEA.v16-04
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：This paper is a further investigation of the problem studied in Xue(2015). We are concerned with the contact process with random vertex weights onthe oriented lattice. Our main result gives the asymptotic behavior of the survivalprobability of the process conditioned on only one vertex being infected at t = 0 asthe dimension grows to in nity. A SIR model and a branching process with randomvertex weights are the main auxiliary tools for the proof of the main result.
