A Decomposable Branching Process in a Markovian Environment | Zendy

Vladimir Vatutin | Zendy; Elena Dyakonova | Zendy; Peter Jagers | Zendy; Serik Sagitov | Zendy

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A Decomposable Branching Process in a Markovian Environment

Author(s) -

Vladimir Vatutin,

Elena Dyakonova,

Peter Jagers,

Serik Sagitov

Publication year - 2012

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2012/694285

Subject(s) - branching process , mathematics , constant (computer programming) , type (biology) , branching (polymer chemistry) , population , markov process , variable (mathematics) , pure mathematics , statistical physics , combinatorics , statistics , mathematical analysis , ecology , demography , computer science , biology , physics , materials science , sociology , composite material , programming language

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

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