Asymptotic analysis and extinction in a stocrastic Lotka-Volterra model
成果类型：
Article
署名作者：
Klebaner, FC; Liptser, R
署名单位：
University of Melbourne; Tel Aviv University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
2001
页码：
1263-1291
关键词：
摘要：
A stochastic Lotka-Volterra model is formulated by using the semi-martingale approach. The large deviation principle is established, and is used to obtain a bound for the asymptoties of the time to extinction of prey population. The bound is given in terms of past-dependent ODEs closely related to the dynamics of the deterministic Lotka-Volterra model.