The Exit Problem for a Class of Density-Dependent Branching Systems

Authors
Klebaner, Fima C. Zeitouni, Ofer
Citation
C. Klebaner, Fima et Zeitouni, Ofer, The Exit Problem for a Class of Density-Dependent Branching Systems, Annals of applied probability , 4(4), 1994, pp. 1188-1205
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
4
Issue
4
Year of publication
1994
Pages
1188 - 1205
Database
ACNP
SICI code
Abstract
The influence of noise on a class of discrete time systems arising from models of density-dependent branching processes is investigated. By considering iterates of the basic map, the time to escape from a stable orbit is investigated as a (nonstandard) problem of exit from a domain.