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General population systems. macroscopic limit of a class of stochastic semigroups - MaRDI portal

General population systems. macroscopic limit of a class of stochastic semigroups (Q557009)

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scientific article; zbMATH DE number 2182085
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General population systems. macroscopic limit of a class of stochastic semigroups
scientific article; zbMATH DE number 2182085

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    General population systems. macroscopic limit of a class of stochastic semigroups (English)
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    23 June 2005
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    The author investigates three possible descriptions of population models: microscopic level of stochastically interacting individuals in terms of continuous linear semigroups of Markov operators, mesoscopic level in terms of nonlinear semigroups related to bilinear Boltzmann-type integro-differential equations and macroscopic level in terms of dynamical systems related to bilinear Lotka-Volterra-type equations.
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    population dynamics
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    integro-differential equations
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    stochastic semigroups
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