The Hopf Bifurcation for a Predator-Prey System with -Logistic Growth and Prey Refuge

The Hopf bifurcation for a predator-prey system with -logistic growth and prey refuge is studied. It is shown that the ODEs undergo a Hopf bifurcation at the positive equilibrium when the prey refuge rate or the index- passed through some critical values. Time delay could be considered as a bifurcat...

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Bibliographic Details
Main Authors: Shaoli Wang, Zhihao Ge
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/168340