Permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients (Q624496)
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scientific article; zbMATH DE number 5848819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients |
scientific article; zbMATH DE number 5848819 |
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Permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients (English)
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9 February 2011
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Summary: 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.
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