Asymptotic growth of a class of size-and-age-dependent birth processes
- 1 June 1974
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 11 (2) , 248-254
- https://doi.org/10.2307/3212746
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
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