A note on the global attractivity of a discrete model of Nicholson's blowflies
type: Item
instance of: scholarly article
title: A note on the global attractivity of a discrete model of Nicholson's blowflies
zbMATH Open document ID: 0962.39011
DOI: 10.1155/S1026022699000072
author: R. Smith
published in: Discrete Dynamics in Nature and Society
publication date: 2001-06-20T00:00:00Z
full work available at URL: https://eudml.org/doc/120987
review text: Summary: We study the global attractivity of the positive equilibrium of the discrete Nicholson's blowflies model \[ N_{n+1}-N_n =-\delta N_n+ pN_{n-k}e^{-aN_{n-k}}, \quad n=0,1,2,\dots. \] We obtain a new criterion for the positive equilibrium \(N^*\) to be a global attractor, which improves the corresponding results obtained by \textit{J. W. H. So} and \textit{J. S. Yu} [J. Math. Anal. Appl. 193, No. 1, 233-244 (1995; Zbl 0834.39009)].
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 1529586
zbMATH Keywords: positive equilibrium
zbMATH Keywords: discrete Nicholson's blowflies model
zbMATH Keywords: delay difference equation
zbMATH Keywords: global attractivity
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description: scientific article; zbMATH DE number 1529586