V. Vatutin, E. Dyakonova, P. Jagers, S. Sagitov, “A decomposable branching process in a Markovian environment”, International Journal of Stochastic Analysis, 2012, Volume 2012, Pages 694285

International Journal of Stochastic Analysis

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International Journal of Stochastic Analysis, 2012, Volume 2012, Pages 694285–24
DOI: https://doi.org/10.1155/2012/694285 (Mi ijsa1)

This article is cited in 7 scientific papers (total in 7 papers)

A decomposable branching process in a Markovian environment

V. Vatutin^a, E. Dyakonova^a, P. Jagers^b, S. Sagitov^b

^a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow 119991, Russia
^b Chalmers University of Technology and University of Gothenberg, 412 96 Gothenburg, Sweden

Full-text PDF Citations (7)

DOI: https://doi.org/10.1155/2012/694285

Abstract: 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 (1$\to$2) is possible. We study then asymptotics of the survival probability in critical and subcritical cases.

Funding agency	Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
INTAS	03-51-5018
Swedish Research Council	621-2010-5623
Wenner-Gren Foundation
ED was supported in part by the Program of RAS “Theoretical Problems of Contemporary Mathematics” and by INTAS grant No. 03-51-5018. SS was supported by Swedish Research Council grant No. 621-2010-5623. VV was supported in part by the Program of RAS “Theoretical Problems of Contemporary Mathematics” and by a Wenner-Gren Foundation Visiting Researcher Scholarship.

Received: 28.09.2012
Accepted: 18.12.2012

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Document Type: Article

Language: English

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