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Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays - MaRDI portal

Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays (Q2388404)

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Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays
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    Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays (English)
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    13 September 2005
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    For a discrete predator-prey system with delays the existence of a positive periodic solution is proved under certain conditions. A positive solution is shown as globally asymptotically stable when all delays are zero.
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    global asymptotic stability
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    system of difference equations with delays
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    periodic solutions
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    discrete predator-prey system
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    method of Lyapunov functional
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    positive solution
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