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Asymptotic growth of a class of size-and-age-dependent birth processes

Published online by Cambridge University Press:  14 July 2016

W. A. O'N. Waugh
W. A. O'N. Waugh*
Affiliation:
The University of Toronto
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Abstract

A class of binary fission stochastic population models is described, in which the fission probabilities may depend on the age of an individual and the total population size. Age-dependent binary branching processes with Erlangian lifelength distributions are a special case. An asymptotic expression for the growth of the population size is developed, which generalizes known theorems about the asymptotic exponential growth of a branching process.

Keywords

BRANCHING PROCESSESAGE-DEPENDENTERLANGIAN DISTRIBUTIONSSOJOURN TIMESASYMPTOTIC GROWTHIMBEDDED PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 2 , June 1974 , pp. 248 - 254
Copyright
Copyright © Applied Probability Trust 1974 

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References

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