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The criteria for globally stable equilibrium in \(n\)-dimensional Lotka-Volterra systems - MaRDI portal

The criteria for globally stable equilibrium in \(n\)-dimensional Lotka-Volterra systems (Q1970006)

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scientific article; zbMATH DE number 1417584
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English
The criteria for globally stable equilibrium in \(n\)-dimensional Lotka-Volterra systems
scientific article; zbMATH DE number 1417584

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    The criteria for globally stable equilibrium in \(n\)-dimensional Lotka-Volterra systems (English)
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    26 April 2000
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    The authors obtain a set of sufficient conditions for the existence of a globally asymptotically stable equilibrium point in various submodels of the classic \(n\)-dimensional Lotka-Volterra system by applying quadratic form theory. The criteria obtained are in explicit forms of the parameters and thus they are easily verifiable in real application.
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    \(n\)-dimensional Lotka-Volterra system
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    globally asymptotically stable equilibrium point
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