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Title

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

Authors

Chen, Anyue; Li, Xiliu; Ku, HoMing

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.

Subjects

MARKOV processes; PROBABILITY theory; STOCHASTIC processes; BRANCHING processes; DIFFUSION processes

Publication

Frontiers of Mathematics in China, 2015, Vol 10, Issue 4, p733

ISSN

1673-3452

Publication type

Academic Journal

DOI

10.1007/s11464-015-0475-x

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