A numerical method for nonlinear age-structured population models with finite maximum age

O. Angulo, J. C. López-Marcos, M. A. López-Marcos, Fabio Milner

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

We propose a new numerical method for the approximation of solutions to a non-autonomous form of the classical Gurtin-MacCamy population model with a mortality rate that is the sum of an intrinsic age-dependent rate that becomes unbounded as the age approaches its maximum value, plus a non-local, non-autonomous, bounded rate that depends on some weighted population size. We prove that our new quadrature based method converges to second-order and we show the results of several numerical simulations.

Original languageEnglish (US)
Pages (from-to)150-160
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume361
Issue number1
DOIs
StatePublished - Jan 1 2010

Keywords

  • Finite maximum age
  • Nonlinear age-structured population model
  • Numerical methods

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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