Oscillation and global attractivity in a periodic Nicholson's blowflies model

S. H. Saker, S. Agarwal

Research output: Contribution to journalArticle

Abstract

In this paper, we shall consider the nonlinear delay differential equation N′(t) = -δ(t)N(t) + P(t)N(t - mw)e-aN(t - mw), (*) where tn is a positive integer, δ(t) and P(t) are positive periodic functions of period w. In the nondelay case, we shall show that (*) has a unique positive periodic solution N̄(t), and provide sufficient conditions for the global attractivity of N̄(t). In the delay case, we shall present sufficient conditions for the oscillation of all positive solutions of (*) about N̄(t), and establish sufficient conditions for the global attractivity of N̄(t).

Original languageEnglish (US)
Pages (from-to)719-731
Number of pages13
JournalMathematical and Computer Modelling
Volume35
Issue number7-8
DOIs
StatePublished - Mar 26 2002
Externally publishedYes

Keywords

  • Global attractivity
  • Nicholson's blowflies model
  • Nonlinear delay differential equations
  • Oscillation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

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