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arXiv · 1209.6596

A decomposable branching process in a Markovian environment

Vladimir Vatutin·Elena Dyakonova·Peter Jagers·Serik Sagitov
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Abstract

A population has two types of individuals, 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->2) is possible. We study the asymptotics of the survival probability in critical and subcritical cases.

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Vladimir Vatutin, Elena Dyakonova, Peter Jagers, Serik Sagitov. 2012-12-18. A decomposable branching process in a Markovian environment. https://arxiv.org/abs/1209.6596

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