Eventual compactness for semiflows generated by nonlinear age-structured models

P. Magal, Horst Thieme

Research output: Contribution to journalArticle

34 Scopus citations

Abstract

In this paper we investigate compactness properties for a semiflow generated by a semi-linear equation with non-dense domain. We start with the non-homogeneous linear case, and we derive some abstract conditions for non-autonomous semilinear equations. Then we investigate a special situation which is well adapted for age-structured equations. We conclude the paper by applying the abstract results to an age-structured model with an additional structure.

Original languageEnglish (US)
Pages (from-to)695-727
Number of pages33
JournalCommunications on Pure and Applied Analysis
Volume3
Issue number4
StatePublished - Sep 1 2004

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Keywords

  • Age structured models
  • Asymptotically smooth semiflow
  • Attractors

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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