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The Markov branching process with density-independent catastrophes. II. The subcritical and critical cases

Published online by Cambridge University Press:  28 June 2011

Anthony G. Pakes
Anthony G. Pakes
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, WA 6009, Australia
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Abstract

This paper continues the study initiated in [10] of the Markov branching process (MBP) subject to an independent Poisson process of catastrophe times at which the population size is reduced by random decrements whose distribution is independent of the current population size. More generally, let (Xt:t ≥ 0) be the Feller process on the non-negative integers ℕ+ having the generator

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 2 , September 1989 , pp. 369 - 383
Copyright
Copyright © Cambridge Philosophical Society 1989

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