Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay

Sufficient conditions for permanence of a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay ̇𝑥1(𝑡)=𝑥1(𝑡)[𝑟1(𝑡)−𝑎11(𝑡)𝑥1(𝑡−𝜏(𝑡))−𝑎12(𝑡)𝑥2(𝑡)/(𝑚2+𝑥21(𝑡))],  ̇𝑥2(𝑡)=𝑥2(𝑡)[𝑟2(𝑡)−𝑎21(𝑡)𝑥2(𝑡)/𝑥1(𝑡)], are obtained, where 𝑥1(𝑡) and 𝑥2(𝑡) stand for the density of...

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Bibliographic Details
Main Authors: Xuepeng Li, Wensheng Yang
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/960823
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