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Branching processes with random absorbing processes

Published online by Cambridge University Press:  14 July 2016

F. Thomas Bruss
F. Thomas Bruss*
Affiliation:
University of Cambridge
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Abstract

A discrete Galton–Watson process is modified by an absorbing process, which, within each generation, eliminates a subset of the living particles without leaving offspring. The absorbing process will be only roughly specified by its expected efficiency on the associated process. We give a sharp sufficient condition for the joint process to be extinguished with probability one and give, after an easy generalization, an example for possible biomedical applications.

Keywords

BRANCHING PROCESSABSORPTIONEXTINCTION PROBABILITYBOUNDED POPULATION GROWTH

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978, pp. 54 - 64
Copyright
Copyright © Applied Probability Trust 1978 

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