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A continuous time Markov branching model with random environments

Published online by Cambridge University Press:  01 July 2016

Norman Kaplan
Norman Kaplan*
Affiliation:
University of California, Berkeley
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Abstract

A population model is constructed which combines the ideas of a discrete time branching process with random environments and a continuous time non-homogeneous Markov branching process. The extinction problem is considered and necessary and sufficient conditions for extinction are determined. Also discussed are limit theorems for what corresponds to the supercritical case.

Keywords

BRANCHING PROCESSBRANCHING PROCESS WITH RANDOM ENVIRONMENTRANDOM ENVIRONMENTSTATIONARY ERGODIC PROCESSCONTINUOUS TIME NON-HOMOGENEOUS MARKOV BRANCHING PROCESS
Type
Research Article
Information
Advances in Applied Probability , Volume 5 , Issue 1 , April 1973 , pp. 37 - 54
Copyright
Copyright © Applied Probability Trust 1973 

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References

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