Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations

Research output: Contribution to journalArticle

395 Scopus citations

Abstract

Conditions are presented under which the solutions of asymptotically autonomous differential equations have the same asymptotic behavior as the solutions of the associated limit equations. An example displays that this does not hold in general.

Original languageEnglish (US)
Pages (from-to)755-763
Number of pages9
JournalJournal Of Mathematical Biology
Volume30
Issue number7
DOIs
StatePublished - Aug 1992

Keywords

  • Asymptotic behavior
  • Butler-McGehee lemma
  • Chemostat
  • Dynamical systems
  • Epidemics

ASJC Scopus subject areas

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

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