Some rigorous results for the stacked contact process

Nicolas Lanchier, Yuan Zhang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The stacked contact process is a stochastic model for the spread of an infection 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 at the same rate and in accordance to the evolution rules of the neutral multitype contact process. The infection is transmitted both vertically from infected parents to their offspring and horizontally from infected hosts to nearby healthy hosts. The population survives if and only if the common birth rate of healthy and infected hosts exceeds the critical value of the basic contact process. The main purpose of this work is to study the existence of a phase transition between extinction and persistence of the infection in the parameter region where the hosts survive.

Original languageEnglish (US)
Pages (from-to)193-222
Number of pages30
JournalAlea
Volume13
Issue number1
DOIs
StatePublished - 2016

Keywords

  • Horizontal infection
  • Host
  • Multitype contact process
  • Phase transition
  • Vertical infection

ASJC Scopus subject areas

  • Statistics and Probability

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