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2013 On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays
Changjin Xu, Yusen Wu
J. Appl. Math. 2013: 1-17 (2013). DOI: 10.1155/2013/679602

Abstract

A ratio-dependent predator-prey model with two delays is investigated. The conditions which ensure the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are obtained. It shows that the two different time delays have different effects on the dynamical behavior of the system. An example together with its numerical simulations shows the feasibility of the main results. Finally, main conclusions are included.

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Changjin Xu. Yusen Wu. "On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays." J. Appl. Math. 2013 1 - 17, 2013. https://doi.org/10.1155/2013/679602

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.92029
MathSciNet: MR3070202
Digital Object Identifier: 10.1155/2013/679602

Rights: Copyright © 2013 Hindawi

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