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

Anyue CHEN; Xiliu LI; HoMing KU

doi:10.1007/s11464-015-0475-x

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Front. Math. China ›› 2015, Vol. 10 ›› Issue (4) : 733-751. DOI: 10.1007/s11464-015-0475-x

RESEARCH ARTICLE

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

Anyue CHEN¹^,² ,
Xiliu LI¹ ,
HoMing KU²

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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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Anyue CHEN, Xiliu LI, HoMing KU. A new approach in analyzing extinction probability of Markov branching process with immigration and migration. Front. Math. China, 2015, 10(4): 733‒751 https://doi.org/10.1007/s11464-015-0475-x

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