Asymptotic behaviour of a nonautonomous cooperative system (Q2725332)
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scientific article; zbMATH DE number 1619132
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behaviour of a nonautonomous cooperative system |
scientific article; zbMATH DE number 1619132 |
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Asymptotic behaviour of a nonautonomous cooperative system (English)
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26 November 2002
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positive periodic solution
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cooperative system
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asymptotic behaviour
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Consider a two-dimensional cooperative Lotka-Volterra system where all coefficients are time-dependent and asymptotically approach \(T\)-periodic functions. The authors prove that under appropriate conditions the system under consideration has a unique \(T\)-periodic solution, which attracts any positive solution.
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