Asymptotic Analysis and Extinction in a Stochastic Lotka-Volterra Model

Authors
Klebaner, F.C. Liptser, R.
Citation
Klebaner, F.c et R. Liptser,, Asymptotic Analysis and Extinction in a Stochastic Lotka-Volterra Model, Annals of applied probability , 11(4), 2001, pp. 1263-1291
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
11
Issue
4
Year of publication
2001
Pages
1263 - 1291
Database
ACNP
SICI code
Abstract
A stochastic Lotka.Volterra model is formulated by using the semimartingale approach. The large deviation principle is established, and is used to obtain a bound for the asymptotics of the time to extinction of prey population. The bound is given in terms of past-dependent ODE.s closely related to the dynamics of the deterministic Lotka .Volterra model.