Reduction of structured population models to threshold-type delay equations and functional differential equations: a case study

Hal Smith

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

Abstract

It is shown by way of a simple example that certain structured population models lead naturally to differential delay equations of the threshold type and that these equations can be transformed in a natural way to functional differential equations. The model examined can be viewed as a model of competition between adults and juveniles of a single population. The results indicate the possibility that this competition leads to instability.

Original languageEnglish (US)
Pages (from-to)1-23
Number of pages23
JournalMathematical Biosciences
Volume113
Issue number1
DOIs
StatePublished - Jan 1993

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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