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Limiting diffusions for population-size dependent branching processes

Published online by Cambridge University Press:  14 July 2016

Carla Lipow*
Affiliation:
University of Pittsburgh

Abstract

A classical theorem on the convergence to a diffusion of a sequence of branching processes will be proved in the case where the branching processes are modified to allow dependence on population size of the generating function governing reproduction. Some recent semigroup convergence theorems due to Kurtz (1969), (1975) provide the main tools.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1977 

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References

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