Open Access
2013 Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control
Xianghong Zhang, Sanyi Tang
Abstr. Appl. Anal. 2013(SI56): 1-11 (2013). DOI: 10.1155/2013/280945


The Filippov ratio-dependent prey-predator model with economic threshold is proposed and studied. In particular, the sliding mode domain, sliding mode dynamics, and the existence of four types of equilibria and tangent points are investigated firstly. Further, the stability of pseudoequilibrium is addressed by using theoretical and numerical methods, and also the local sliding bifurcations including regular/virtual equilibrium bifurcations and boundary node bifurcations are studied. Finally, some global sliding bifurcations are addressed numerically. The globally stable touching cycle indicates that the density of pest population can be successfully maintained below the economic threshold level by designing suitable threshold policy strategies.


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Xianghong Zhang. Sanyi Tang. "Filippov Ratio-Dependent Prey-Predator Model with Threshold Policy Control." Abstr. Appl. Anal. 2013 (SI56) 1 - 11, 2013.


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

zbMATH: 1314.92152
MathSciNet: MR3121488
Digital Object Identifier: 10.1155/2013/280945

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI56 • 2013
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