The semigroup associated with nonlinear age dependent population dynamics (Q791470)

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scientific article; zbMATH DE number 3850887
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English
The semigroup associated with nonlinear age dependent population dynamics
scientific article; zbMATH DE number 3850887

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    The semigroup associated with nonlinear age dependent population dynamics (English)
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    1983
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    The author characterizes the infinitesimal generator of the strongly continuous semigroup of nonlinear operators in \(L^ 1\) associated with an integral form of the McKendrick-von Foerster equations for the evolution of an age-structured population. The vital birth and death rates are assumed to satisfy, amongst other technical things, global Lipschitz conditions as nonlinear functions of the total population size.
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    infinitesimal generator
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    integral form of the McKendrick-von Foerster equations
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    age-structured population
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    global Lipschitz conditions
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