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2009 Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay
Xuepeng Li, Wensheng Yang
Abstr. Appl. Anal. 2009: 1-6 (2009). DOI: 10.1155/2009/960823

Abstract

Sufficient conditions for permanence of a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay x˙1(t)=x1(t)[r1(t)a11(t)x1(tτ(t))a12(t)x2(t)/(m2+x12(t))],  x˙2(t)=x2(t)[r2(t)a21(t)x2(t)/x1(t)], are obtained, where x1(t) and x2(t) stand for the density of the prey and the predator, respectively, and m0 is a constant. τ(t)0 stands for the time delays due to negative feedback of the prey population.

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Xuepeng Li. Wensheng Yang. "Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay." Abstr. Appl. Anal. 2009 1 - 6, 2009. https://doi.org/10.1155/2009/960823

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1182.34100
MathSciNet: MR2539907
Digital Object Identifier: 10.1155/2009/960823

Rights: Copyright © 2009 Hindawi

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