SURVIVAL AND COEXISTENCE FOR A MULTITYPE OF CONTACT PROCESS

• 成果类型: Article
• 署名作者: Cox, J. Theodore; Schinazi, Rinaldo B.
• 署名单位: Syracuse University; University of Colorado System; University of Colorado at Colorado Springs
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/08-AOP422
• 发表日期: 2009
• 页码: 853-876
• 关键词: model

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.