SURVIVAL AND COEXISTENCE FOR A MULTITYPE OF CONTACT PROCESS

被引：10

作者：

Cox, J. Theodore ^{[1
]}

Schinazi, Rinaldo B. ^{[2
]}

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[2] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

来源：

ANNALS OF PROBABILITY | 2009年 / 37卷 / 03期

基金：

美国国家科学基金会;

关键词：

Contact process; trees; multitype; survival; coexistence complete convergence; MODEL;

D O I：

10.1214/08-AOP422

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study the ergodic theory of a multitype contact process with equal death rates and unequal birth rates on the d-dimensional integer lattice and OF regular trees. We prove that for birth rates in a certain interval there is coexistence on the tree, which by a result of Neuhauser is not possible on the lattice. We also prove a complete convergence result when the larger birth rate falls outside of this interval.

引用

页码：853 / 876

页数：24

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