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2012 Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays
Zizhen Zhang, Huizhong Yang, Juan Liu
Abstr. Appl. Anal. 2012: 1-19 (2012). DOI: 10.1155/2012/236484

Abstract

A modified Holling-Tanner predator-prey system with multiple delays is investigated. By analyzing the associated characteristic equation, the local stability and the existence of periodic solutions via Hopf bifurcation with respect to both delays are established. Direction and stability of the periodic solutions are obtained by using normal form and center manifold theory. Finally, numerical simulations are carried out to substantiate the analytical results.

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Zizhen Zhang. Huizhong Yang. Juan Liu. "Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays." Abstr. Appl. Anal. 2012 1 - 19, 2012. https://doi.org/10.1155/2012/236484

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1261.34065
MathSciNet: MR2994941
Digital Object Identifier: 10.1155/2012/236484

Rights: Copyright © 2012 Hindawi

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