The collision branching process
Anyue Chen, Phil Pollett, Hanjun Zhang, and Junping Li
Source: J. Appl. Probab.
Volume 41, Number 4
(2004), 1033-1048.
Abstract
We consider a branching model, which we call the collision
branching process (CBP), that accounts for the effect of
collisions, or interactions, between particles or individuals. We
establish that there is a unique CBP, and derive necessary and
sufficient conditions for it to be nonexplosive. We review results
on extinction probabilities, and obtain explicit expressions for
the probability of explosion and the expected hitting times. The
upwardly skip-free case is studied in some detail.
Primary Subjects: 60J27
Secondary Subjects: 60J80
Keywords: Regularity; extinction probability; hitting time
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1101840549
Digital Object Identifier: doi:10.1239/jap/1101840549
Mathematical Reviews number (MathSciNet):
MR2122478
Zentralblatt MATH identifier:
02151052
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