Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay
type: Item
instance of: scholarly article
title: Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay
zbMATH Open document ID: 1106.92065
DOI: 10.1155/DDNS/2006/19413
author: Wenxue Li
author: Xiaohua Ding
published in: Discrete Dynamics in Nature and Society
publication date: 2007-03-19T00:00:00Z
full work available at URL: https://eudml.org/doc/126962
review text: Summary: A kind of discrete system according to Nicholson's blowflies equation with a finite delay is obtained by the Euler forward method, and the dynamics of this discrete system are investigated. Applying the theory of normal forms and center manifolds, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give an explicit algorithm for determining the direction of bifurcation and stability of the periodic solutions of bifurcations.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 37M20
zbMATH DE Number: 5134607
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5134607