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On the existence and stability of a unique almost periodic solution of Schoener's competition model with pure-delays and impulsive effects - MaRDI portal

On the existence and stability of a unique almost periodic solution of Schoener's competition model with pure-delays and impulsive effects (Q430431)

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scientific article; zbMATH DE number 6048907
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English
On the existence and stability of a unique almost periodic solution of Schoener's competition model with pure-delays and impulsive effects
scientific article; zbMATH DE number 6048907

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    On the existence and stability of a unique almost periodic solution of Schoener's competition model with pure-delays and impulsive effects (English)
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    21 June 2012
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    The authors consider a 2D Schoener's competition system with pure-delays, bounded almost periodic coefficients and impulsive effects. By using the results of [\textit{Y. Nakata} and \textit{Y. Muroya}, Nonlinear Anal., Real World Appl. 11, No. 1, 528--534 (2010; Zbl 1186.34119)] and a Lyapunov functional, they present a theorem on permanence, and an existence result about a unique uniformly asymptotically stable positive almost periodic solution.
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    2D Schoener's competition system
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    delay
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    almost periodic system
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    asymptotical stability
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    almost periodic solution
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