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

Jinhuo Luo

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

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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https://doi.org/10.1155/2010/845606

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:845606

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