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Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments. - MaRDI portal

Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments. (Q1421087)

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scientific article; zbMATH DE number 2032514
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English
Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments.
scientific article; zbMATH DE number 2032514

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    Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments. (English)
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    2003
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    This paper deals with the global existence and global asymptotic stability of a strictly positive (componentwise) periodic solution of a periodic \(n\)-species Lotka-Volterra competition system with feedback controls and several deviating arguments. To this end, the authors use the method of coincidence degree and Lyapunov functional arguments.
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    Lyapunov functional
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    competition system
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    feedback control
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