文章基本信息

标题：Some rigorous results for the stacked contact process
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作者：Nicolas Lanchier ; Yuan Zhang
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2016
卷号：XIII
页码：193-222
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：The stacked contact process is a stochastic model for the spread of aninfection within a population of hosts located on the d-dimensional integer lattice.Regardless of whether they are healthy or infected, hosts give birth and die atthe same rate and in accordance to the evolution rules of the neutral multitypecontact process. The infection is transmitted both vertically from infected parentsto their offspring and horizontally from infected hosts to nearby healthy hosts. Thepopulation survives if and only if the common birth rate of healthy and infectedhosts exceeds the critical value of the basic contact process. The main purpose ofthis work is to study the existence of a phase transition between extinction andpersistence of the infection in the parameter region where the hosts survive.