Well-posedness of physiologically structured population models for Daphnia magna - How biological concepts can benefit by abstract mathematical analysis

Research output: Contribution to journalArticle

35 Scopus citations

Abstract

In this paper we heuristically discuss the well-posedness of three variants of the Kooijman/Metz model. Shortcomings concerning the uniqueness and continuous dependence on data of the solutions to one of the variants are traced back to an inconsistency in the biological concept of energy allocation in this model version. The conceptional consequences are discussed and an open question concerning energy allocation is pin-pointed.

Original languageEnglish (US)
Pages (from-to)299-317
Number of pages19
JournalJournal Of Mathematical Biology
Volume26
Issue number3
DOIs
StatePublished - Jun 1 1988

Keywords

  • Age-dependent mortality
  • Measure-valued solutions
  • Size-dependent reproduction

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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