Global boundedness of the solutions to a Gurtin-MacCamy system

M. Iannelli; M. Y. Kim; E. J. Park; A. Pugliese

doi:10.1007/s00030-002-8124-y

Global boundedness of the solutions to a Gurtin-MacCamy system

M. Iannelli, M. Y. Kim, E. J. Park, A. Pugliese

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	197-216
Number of pages	20
Journal	Nonlinear Differential Equations and Applications
Volume	9
Issue number	2
DOIs	https://doi.org/10.1007/s00030-002-8124-y
Publication status	Published - 2002

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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AB - 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.

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Global boundedness of the solutions to a Gurtin-MacCamy system

Abstract

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