Global boundedness of the solutions to a Gurtin-MacCamy system
type: Item
instance of: scholarly article
title: Global boundedness of the solutions to a Gurtin-MacCamy system
zbMATH Open document ID: 1004.35016
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2002-06-27T00:00:00Z
review text: This paper is concerned with the analysis of a generalized Gurtin-MacCamy model describing the evolution of an age-structured population. The problem of global boundedness is studied. Namely we ask whether there are simple general assumptions that one can make on the vital rates in order to have boundedness of the solution. Next a fully implicit finite difference scheme along the characteristic is considered to approximate the solution of the system. Global boundedness of the numerical solutions is investigated. The optimal rate of convergence of the scheme is obtained in the maximum norm. Numerical examples are presented.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M25
zbMATH DE Number: 1761065
zbMATH Keywords: age-structured population
zbMATH Keywords: fully implicit finite difference scheme
zbMATH Keywords: method of characteristics
author: M. Iannelli
author: Mi-Young Kim
author: Eun-Jae Park
author: Andrea Pugliese
reviewed by: Leonid B. Chubarov
MaRDI profile type: Publication
Wikidata QID: Q60502224
full work available at URL: s00030-002-8124-y
OpenAlex ID: W2079480934
DOI: 10.1007/S00030-002-8124-Y
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description: scientific article; zbMATH DE number 1761065