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The spatial spread and final size of the deterministic non-reducible n- type epidemic - MaRDI portal

The spatial spread and final size of the deterministic non-reducible n- type epidemic (Q794573)

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scientific article; zbMATH DE number 3858917
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English
The spatial spread and final size of the deterministic non-reducible n- type epidemic
scientific article; zbMATH DE number 3858917

    Statements

    The spatial spread and final size of the deterministic non-reducible n- type epidemic (English)
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    1984
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    The authors consider an integrodifferential model for the spread of an epidemic involving n types of individuals. After giving an existence and uniqueness result for solutions, they study the asymptotic (long time) states. From their results they obtain conditions under which a major epidemic will or will not occur and the asymptotic states are characterized. The results are extended to the case of a spatial aspect with one or two dimensions.
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    non-reducible n-type epidemic
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    measles
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    host-vector
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    carrier-borne
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    rabies
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    spatial spread
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    final size
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    pandemic theorem
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    existence and uniqueness result
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    asymptotic states
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