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Global asymptotic stability of \(n\)-dimensional Lotka-Volterra chain systems with periodic coefficients - MaRDI portal

Global asymptotic stability of \(n\)-dimensional Lotka-Volterra chain systems with periodic coefficients (Q2769744)

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scientific article; zbMATH DE number 1701910
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Global asymptotic stability of \(n\)-dimensional Lotka-Volterra chain systems with periodic coefficients
scientific article; zbMATH DE number 1701910

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    26 June 2002
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    global asymptotic stability
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    \(n\)-dimensional Lotka-Volterra chain systems
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    periodic coefficients
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    Global asymptotic stability of \(n\)-dimensional Lotka-Volterra chain systems with periodic coefficients (English)
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    The authors consider the \(n\)-dimensional Lotka-Volterra chain systems with periodic coefficients. Basing on Brouwer's theorem and a Lyapunov function, the authors obtain a set of easily verifiable sufficient conditions for the existence and uniqueness of a globally asymptotically stable positive periodic solution, and they give an example.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00066].
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