Existence of periodic solutions in a discrete predator-prey system with Beddington-DeAngelis functional responses (Q763035)
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scientific article; zbMATH DE number 6013263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of periodic solutions in a discrete predator-prey system with Beddington-DeAngelis functional responses |
scientific article; zbMATH DE number 6013263 |
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Existence of periodic solutions in a discrete predator-prey system with Beddington-DeAngelis functional responses (English)
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8 March 2012
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Summary: A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated. With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with Beddington-DeAngelis functional responses is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive solutions of the model are established.
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discrete predator-prey model
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Holling II and Beddington-DeAngelis functional responses
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coincidence degree theory
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positive solutions
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0.98361886
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0.96940863
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0.9654621
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0.9551314
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