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

Jinhuo Luo

Abstract and Applied Analysis, 2010, vol. 2010, 1-24

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:845606

DOI: 10.1155/2010/845606

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