Permanence and stable periodic solution for a discrete competitive system with multidelays (Q963080)
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scientific article; zbMATH DE number 5690828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Permanence and stable periodic solution for a discrete competitive system with multidelays |
scientific article; zbMATH DE number 5690828 |
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Permanence and stable periodic solution for a discrete competitive system with multidelays (English)
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8 April 2010
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This paper concerns an \(M\)-species discrete competitive model with multiple delays. First, a set of sufficient conditions on the permanence of the system is established. Then, under further assumption of periodicity of the coefficients, it is shown that there exists a positive periodic solution, whose stability is also studied. The obtained results complement exisiting ones for related models.
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discrete competitive system
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delay
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permanence
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periodic solution
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stability
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positive solution
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population dynamics
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