On connecting orbits for competing species equations with large interactions (Q1769838)

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scientific article; zbMATH DE number 2149525
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English
On connecting orbits for competing species equations with large interactions
scientific article; zbMATH DE number 2149525

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    On connecting orbits for competing species equations with large interactions (English)
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    30 March 2005
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    The author continues his previous work [\textit{E. N. Dancer} and \textit{Z. Zhang}, J. Differ. Equations 182, No.~2, 470--489 (2002; Zbl 1006.35047)] on the study of the attractors of Lotka-Volterra competition systems with large interaction terms. Conley index ideas are used to show that the full system of equations inherits part of the connection structure of its limiting systems.
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    homotopy indices
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    Lotka-Volterra competition systems
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    Conley index
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