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Stable coexistence and bi-stability for competitive systems on ordered Banach spaces - MaRDI portal

Stable coexistence and bi-stability for competitive systems on ordered Banach spaces (Q5955608)

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scientific article; zbMATH DE number 1705598
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English
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces
scientific article; zbMATH DE number 1705598

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    Stable coexistence and bi-stability for competitive systems on ordered Banach spaces (English)
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    2001
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    abstract autonomous semiflows
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    two species competition
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    stable coexistence
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    bi-stability
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    competitive exclusion
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    The authors investigate abstract autonomous and asymptotically autonomous semiflows modeling two species competition in ordered Banach spaces. The state space of the two species model is taken as a product of two positive cones and the system is considered as a matrix on this product space.NEWLINENEWLINE The notions of stable coexistence, bi-stability and competitive exclusion are introduced and sufficient conditions are derived for them.
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