Hopf bifurcation in a two-competitor, one-prey system with time delay
type: Item
instance of: scholarly article
title: Hopf bifurcation in a two-competitor, one-prey system with time delay
zbMATH Open document ID: 1181.34090
author: Yu Yang
published in: Applied Mathematics and Computation
publication date: 2009-07-24T00:00:00Z
review text: The author considers a delayed two-competitor/one-prey system in which both two competitors exhibit Holling II functional response. By choosing the time delay as a bifurcation parameter, it is found that Hopf bifurcation occurs when the delay passes through a certain critical value. Numerical simulations are performed to illustrate the analytical results.
reviewed by: Cheng-Hsiung Hsu
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5586697
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: time delay
zbMATH Keywords: functional response
zbMATH Keywords: stability
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: j.amc.2009.03.078
OpenAlex ID: W1967338831
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DOI: 10.1016/J.AMC.2009.03.078
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description: scientific article