Population-size-dependent and age-dependent branching processes.
type: Item
instance of: scholarly article
title: Population-size-dependent and age-dependent branching processes.
zbMATH Open document ID: 1045.60090
DOI: 10.1016/S0304-4149(99)00111-8
author: P. Jagers
author: Fima Klebaner
published in: Stochastic Processes and their Applications
publication date: 2004-09-07T00:00:00Z
review text: Supercritical branching processes are studied which are Markovian in the age structure and where the reproduction parameters may depend on population size and the age structure of the population. The age chart of all individuals forms a Markov process. The generator of this process is given and a stochastic equation is derived, from which asymptotic behaviour of the process is obtained. General supercritical asymptotics then follows by means of \(L^2\) arguments and Tauberian theorems.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2098077
zbMATH Keywords: supercritical branching processes
zbMATH Keywords: age-dependent processes
MaRDI profile type: Publication
Wikidata QID: Q57712796
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full work available at URL: s0304-4149(99)00111-8
OpenAlex ID: W2128887841
description: scientific article; zbMATH DE number 2098077