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Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria - MaRDI portal

Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria (Q1909698)

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scientific article; zbMATH DE number 856937
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English
Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria
scientific article; zbMATH DE number 856937

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    Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria (English)
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    19 August 1996
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    Systems of delayed nonautonomous Lotka-Volterra type equations are considered. Global asymptotic behavior of such systems is proved by using a new approach. Sufficient conditions are obtained by dropping the requirement of existence of a saturated equilibrium for these systems. Some applications of this method to autonomous Lotka-Volterra type competition systems are shown. Three open problems are proposed in this paper as well.
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    stability
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    systems of delayed nonautonomous Lotka-Volterra type equations
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    global asymptotic behavior
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