A new approach in analyzing extinction probability of Markov branching process with immigration and migration

Abstract

We use a new approach to consider the extinction properties of the Markov branching process with immigration and migration recently discussed by Li and Liu [Sci. China Math., 2011, 54: 1043–1062]. Some much better explicit expressions are obtained for the extinction probabilities of the subtle super-interacting case.

Keywords

Markov branching processes / interaction / extinction probability

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Higher Education Press and Springer-Verlag Berlin Heidelberg