Acta Scientiarum Naturalium Universitatis Pekinensis

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The Contact Process on Trees in Random Environments

JIA Shumei   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2001-11-12 Online:2002-09-20 Published:2002-09-20



  1. 北京大学数学科学学院,北京,100871

Abstract: Consider the contact process on homogeneous trees in a random environment, in which the recovery rates {δ(x): xTd} are i.i.d. random variables (bounded above) while the infection rate is a constant λ. The contact process survives locally for every λ>0 if {lim inf }[v→∞] eβvP(logδ(x)>v)>0 for all β>0.

Key words: contact process, random environment, local survival

摘要: 考虑齐次树上随机环境下的接触过程,随机环境是指康复的速率{δ(x): xTd}是独立同分布而且有上界的随机变量,感染的速率是常数λ。如果 lim inf[v→∞]eβvP(-logδ(x)>v)>0, β>0, 则对任意的λ>0,接触过程是强蔓延的。

关键词: 接触过程, 随机环境, 强蔓延

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