A phase diagram for a stochastic reaction diffusion system

• 成果类型: Article
• 署名作者: Mueller, Carl; Tribe, Roger
• 署名单位: University of Rochester; University of Warwick
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-010-0265-z
• 发表日期: 2011
• 页码: 561-637
• 关键词: brownian-motion; BEHAVIOR

摘要

In this paper a stochastic reaction diffusion system is considered, which models the spread of a finite population reacting with a non-renewable resource in the presence of individual based noise. A two-parameter phase diagram is established to describe the large time evolution, distinguishing between certain death or possible life of the population.