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.
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页码：853 / 876
页数：24
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