Age structured populations with history dependent mortality and natality

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We consider a modification of the Gurtin-MacCamy model of population dynamics, where the birth and death moduli depend on a time integral of the solution rather than on an age integral. This models the influence of past history in the time dependence of the death and birth rates. We propose a numerical algorithm to approximate the solution based on the finite difference method of characteristics and prove that it is optimally convergent. The algorithm is devised to minimize the storage requirement in the time variable.

Original languageEnglish (US)
Pages (from-to)29-39
Number of pages11
JournalCALCOLO
Volume30
Issue number1
DOIs
StatePublished - Mar 1 1993
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics

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