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May 1997 Coupling and population dependence in branching processes
Peter Jagers
Ann. Appl. Probab. 7(2): 281-298 (May 1997). DOI: 10.1214/aoap/1034625331

Abstract

Consider supercritical general branching processes, where, however, individual reproduction may be influenced by the history of the population, in particular by the total population size. Assume that reproductions approach those of a classical, possibly multitype, supercritical process either from above or from below as the population grows. Conditions are established for the population-history dependent populations to display balanced exponential growth with the same Malthusian parameter as the limiting population. Applications are made to a tumor model with quiescence.

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Peter Jagers. "Coupling and population dependence in branching processes." Ann. Appl. Probab. 7 (2) 281 - 298, May 1997. https://doi.org/10.1214/aoap/1034625331

Information

Published: May 1997
First available in Project Euclid: 14 October 2002

zbMATH: 0884.60084
MathSciNet: MR1442313
Digital Object Identifier: 10.1214/aoap/1034625331

Subjects:
Primary: 60J80
Secondary: 60F25 , 92A15

Keywords: branching processes , cell kinetics , Population dynamics , population size dependence

Rights: Copyright © 1997 Institute of Mathematical Statistics

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Vol.7 • No. 2 • May 1997
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