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2014 Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting
Fengying Wei, Lanqi Wu, Yuzhi Fang
Abstr. Appl. Anal. 2014: 1-12 (2014). DOI: 10.1155/2014/624162

Abstract

A kind of delayed predator-prey system with harvesting is considered in this paper. The influence of harvesting and delay is investigated. Our results show that Hopf bifurcations occur as the delay τ passes through critical values. By using of normal form theory and center manifold theorem, the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are obtained. Finally, numerical simulations are given to support our theoretical predictions.

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Fengying Wei. Lanqi Wu. Yuzhi Fang. "Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting." Abstr. Appl. Anal. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/624162

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022755
MathSciNet: MR3178878
Digital Object Identifier: 10.1155/2014/624162

Rights: Copyright © 2014 Hindawi

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