Open Access
2013 Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Xia Liu, Yepeng Xing
Abstr. Appl. Anal. 2013(SI17): 1-10 (2013). DOI: 10.1155/2013/478315

Abstract

The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several kinds bifurcation phenomena, for example, the saddle-node bifurcation, Bogdanov-Takens bifurcation, Hopf bifurcation, backward bifurcation, separatrix connecting a saddle-node and a saddle bifurcation and heteroclinic bifurcation, and so forth. Our main results reveal much richer dynamics of the system compared to the system with no refuge and harvesting.

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Xia Liu. Yepeng Xing. "Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting." Abstr. Appl. Anal. 2013 (SI17) 1 - 10, 2013. https://doi.org/10.1155/2013/478315

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1272.92042
MathSciNet: MR3035282
Digital Object Identifier: 10.1155/2013/478315

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI17 • 2013
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