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2014 Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks
Huitao Zhao, Yaowei Sun, Zhen Wang
Abstr. Appl. Anal. 2014(SI37): 1-11 (2014). DOI: 10.1155/2014/104156

Abstract

A delayed Lotka-Volterra predator-prey system with time delayed feedback is studied by using the theory of functional differential equation and Hassard’s method. By choosing appropriate control parameter, we investigate the existence of Hopf bifurcation. An explicit algorithm is given to determine the directions and stabilities of the bifurcating periodic solutions. We find that these control laws can be applied to control Hopf bifurcation and chaotic attractor. Finally, some numerical simulations are given to illustrate the effectiveness of the results found.

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Huitao Zhao. Yaowei Sun. Zhen Wang. "Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks." Abstr. Appl. Anal. 2014 (SI37) 1 - 11, 2014. https://doi.org/10.1155/2014/104156

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07021741
MathSciNet: MR3219355
Digital Object Identifier: 10.1155/2014/104156

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI37 • 2014
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