Compact attractors for time-periodic age-structured population models (Q2753143)

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scientific article; zbMATH DE number 1667110
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Compact attractors for time-periodic age-structured population models
scientific article; zbMATH DE number 1667110

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    24 January 2002
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    nonlinear evolutionary systems
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    non-autonomous semiflow
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    periodic semiflow
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    eventual compactness
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    Compact attractors for time-periodic age-structured population models (English)
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    The existence of compact attractors for time-periodic age-structured models is investigated. The eventual compactness of a class of abstract non-autonomous semiflows is discussed. The results are applied to non-autonomous age-structured models. In the time-periodic case, the existence of a periodic family of compact subsets that is invariant by the semiflow is obtained, which attracts the solutions of the system.
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