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arxiv: 1209.6596 · v3 · pith:MIZPGCEEnew · submitted 2012-09-28 · 🧮 math.PR · q-bio.PE

A decomposable branching process in a Markovian environment

classification 🧮 math.PR q-bio.PE
keywords environmentindividualsislandtypeasymptoticsbranchingcasesconstant
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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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