A Decomposable Branching Process in a Markovian Environment
Journal article, 2012
A population has two types of individuals, with each occupying an island. One of those, where individuals of type 1 live, offers a variable environment. Type 2 individuals dwell on the other island, in a constant environment. Only one-way migration is possible. We study then asymptotics of the survival probability in critical and subcritical cases.
Author
V.A. Vatutin
Steklov Mathematical Institute, Russian Academy of Sciences
E. Dyakonova
Steklov Mathematical Institute, Russian Academy of Sciences
Peter Jagers
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematical Statistics
Serik Sagitov
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematical Statistics
International Journal of Stochastic Analysis
2090-3332 (ISSN) 2090-3340 (eISSN)
Article ID 694285Roots
Basic sciences
Areas of Advance
Life Science Engineering (2010-2018)
Subject Categories (SSIF 2011)
Probability Theory and Statistics
DOI
10.1155/2012/694285