English

A decomposable branching process in a Markovian environment

Probability 2012-12-19 v3 Populations and Evolution

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.

Keywords

Cite

@article{arxiv.1209.6596,
  title  = {A decomposable branching process in a Markovian environment},
  author = {Vladimir Vatutin and Elena Dyakonova and Peter Jagers and Serik Sagitov},
  journal= {arXiv preprint arXiv:1209.6596},
  year   = {2012}
}
R2 v1 2026-06-21T22:12:58.065Z