Abstract and Applied Analysis

Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients

Jinhuo Luo

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Abstract

We study the permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients. We provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent and a sufficient condition for the existence of a periodic solution. In addition we prove that when the predator population tends to extinction, the prey population keeps oscillating above a positive population level.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 845606, 24 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170947

Digital Object Identifier
doi:10.1155/2010/845606

Mathematical Reviews number (MathSciNet)
MR2763495

Zentralblatt MATH identifier
1211.34058

Citation

Luo, Jinhuo. Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients. Abstr. Appl. Anal. 2010 (2010), Article ID 845606, 24 pages. doi:10.1155/2010/845606. https://projecteuclid.org/euclid.aaa/1313170947


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