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The Markov branching process with density-independent catastrophes. III. The supercritical case

Published online by Cambridge University Press:  24 October 2008

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

This paper continues the study initiated in [9] of the Markov branching process (MBP) with a density-independent catastrophe component. The population size process (Xt) was investigated in the subcritical and critical cases in [11], and the present paper is concerned with a parallel investigation of the supercritical case. We refer the reader to [11] for definitions and notation, and we will not repeat them here.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 1 , January 1990 , pp. 177 - 192
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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