Delay differential equations with Hill's type growth rate and linear harvesting

L. Berezansky, E. Braverman, L. Idels

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

For the equation, Ṅ(t)=r(t)N(t)1+[N(t)]γ-b(t)N(t)-a(t)N(g(t)), we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.

Original languageEnglish
Pages (from-to)549-563
Number of pages15
JournalComputers and Mathematics with Applications
Volume49
Issue number4
DOIs
StatePublished - 1 Feb 2005

Keywords

  • Bounded solutions
  • Delay equations
  • Extinction and persistence
  • Mackey-Glass equation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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