Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model

DOI10.3934/dcds.2015.35.617zbMath1333.92042OpenAlexW2329018255WikidataQ70721824 ScholiaQ70721824MaRDI QIDQ480006

Jacek Banasiak, Amartya Goswami

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.617

zbMATH Keywords

aggregationsingular perturbationsemigroupsasymptotic analysisconvergence of semigroupsTrotter-Kato theoremmultiple time scalesreducible matricesstructured population models

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (3)

Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations ⋮ Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics ⋮ A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups

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