Oscillation and global attractivity in a periodic Nicholson's blowflies model
type: Item
instance of: scholarly article
title: Oscillation and global attractivity in a periodic Nicholson's blowflies model
zbMATH Open document ID: 1012.34067
DOI: 10.1016/S0895-7177(02)00043-2
author: S. Agarwal
author: S. H. Saker
published in: Mathematical and Computer Modelling
publication date: 2002-08-15T00:00:00Z
review text: Here, the authors consider the following nonlinear delay differential equation \[ N'(t)=-\delta N(t)+P(t)N(t-m\omega)e^{-\alpha N(t-n\omega)},\tag{*} \] where \(m\) is a positive integer, \(\delta(t)\) and \(P(t)\) are positive \(\omega\)-periodic functions. In the non-delay case, they show that equation (*) has a unique positive periodic solution and provide sufficient conditions for their global attractivity. In the delay case, they provide sufficient conditions for the oscillation of all positive solutions.
reviewed by: Marcos Lizana
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1781833
zbMATH Keywords: oscillations
zbMATH Keywords: global attractivity
zbMATH Keywords: nonlinear delay differential equations
zbMATH Keywords: Nicholson's blowflies model
MaRDI profile type: Publication
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full work available at URL: s0895-7177(02)00043-2
OpenAlex ID: W2017979684
description: scientific article; zbMATH DE number 1781833