Stochastic demographic models: Age of a population
type: Item
instance of: scholarly article
title: Stochastic demographic models: Age of a population
zbMATH Open document ID: 0722.92013
DOI: 10.1016/0304-4149(90)90007-F
author: Anne-Marie Borde-Boussion
published in: Stochastic Processes and their Applications
publication date: 1990-01-01T00:00:00Z
review text: The developing age distribution in a sequence of population models is considered. For each integer N there is an initial population of size N with specified ages. At subsequent times the age distribution is obtained by the empirical measure of the ages, with each person having weight 1/N. Particles divide and die with rates which depend on the age of the particle and the age distribution in the population, and the process is Markov in the age distribution. The main theorem gives conditions for there to be a limiting measure valued process as N goes to infinity. The proofs use Hilbert space techniques, with the empirical measures being treated as elements in the dual of suitable Sobolev spaces.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60J05
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 4191456
zbMATH Keywords: stochastic demographic models
zbMATH Keywords: law of large numbers theorem
zbMATH Keywords: measure- valued processes
zbMATH Keywords: weighted Sobolev space
zbMATH Keywords: birth-and-death processes
zbMATH Keywords: martingale problems
zbMATH Keywords: tightness
zbMATH Keywords: Sobolev duals
zbMATH Keywords: developing age distribution
zbMATH Keywords: sequence of population models
zbMATH Keywords: empirical measure of the ages
zbMATH Keywords: limiting measure valued process
zbMATH Keywords: Hilbert space techniques
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4191456