Survival and extinction in a locally regulated population

• 成果类型: Article
• 署名作者: Etheridge, AM
• 署名单位: University of Oxford
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/aoap/1075828051
• 发表日期: 2004
• 页码: 188-214
• 关键词: super-brownian motion; moment equations; time

摘要

Bolker and Pacala recently introduced a model of an evolving population in which an individual's fecundity is reduced in proportion to the local population density. We consider two versions of this model and prove complementary extinction/persistence results, one for each version. Roughly, if individuals in the population disperse sufficiently quickly relative to the range of the interaction induced by the density dependent regulation, then the population has positive chance of survival, whereas, if they do not, then the population will die out.