Approximation of linear age-structured population models using Legendre polynomials
type: Item
instance of: scholarly article
title: Approximation of linear age-structured population models using Legendre polynomials
zbMATH Open document ID: 0819.65123
author: Franz Kappel
author: Kangpei Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-09-05T00:00:00Z
review text: The authors consider the first order hyperbolic equation \((\partial l/ \partial t) + (\partial l/ \partial a) = - \mu l\), \(l(t,0) = F(l(t,0))\), \(l(0,a) = \varphi (a)\), as a model for age-structured population models. The numerical algorithm is based on approximate age distributions using modified Legendre polynomials and uses the Trotter-Kato semigroup approach for the corresponding Cauchy problem. This method permits unbounded nonintegrable mortality rates. The structure of the algorithm is considered and numerical results presented.
reviewed by: Douglas Quinney
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 566489
zbMATH Keywords: first order hyperbolic equation
zbMATH Keywords: age-structured population models
zbMATH Keywords: numerical algorithm
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: Trotter-Kato semigroup
zbMATH Keywords: Cauchy problem
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1414
OpenAlex ID: W2042355592
DOI: 10.1006/JMAA.1993.1414
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description: scientific article; zbMATH DE number 566489