Publikation:

Analysis and Numerics for an Age- and Sex-Structured Population Model

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2016

Autor:innen

Skvarkovskyi, Yevhenii

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
DOI (zitierfähiger Link)
https://doi.org/10.1002/num.22032
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Numerical Methods for Partial Differential Equations. 2016, 32(2), pp. 706-736. ISSN 0749-159X. eISSN 1098-2426. Available under: doi: 10.1002/num.22032

Zusammenfassung

We study a linear model of McKendrick-von Foerster-Keyfitz type for the temporal development of the age structure of a two-sex human population. For the underlying system of partial integro-differential equations, we exploit the semigroup theory to show the classical well-posedness and asymptotic stability in a Hilbert space framework under appropriate conditions on the age-specific mortality and fertility moduli. Finally, we propose an implicit finite difference scheme to numerically solve this problem and prove its convergence under minimal regularity assumptions. A real data application is also given.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

exponential stability, finite difference scheme, numerical convergence, partial integro-differential equations, population dynamics, well-posedness

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690POKOJOVY, Michael, Yevhenii SKVARKOVSKYI, 2016. Analysis and Numerics for an Age- and Sex-Structured Population Model. In: Numerical Methods for Partial Differential Equations. 2016, 32(2), pp. 706-736. ISSN 0749-159X. eISSN 1098-2426. Available under: doi: 10.1002/num.22032
BibTex
@article{Pokojovy2016Analy-29178,
  year={2016},
  doi={10.1002/num.22032},
  title={Analysis and Numerics for an Age- and Sex-Structured Population Model},
  number={2},
  volume={32},
  issn={0749-159X},
  journal={Numerical Methods for Partial Differential Equations},
  pages={706--736},
  author={Pokojovy, Michael and Skvarkovskyi, Yevhenii}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/29178">
    <dc:language>eng</dc:language>
    <dc:creator>Skvarkovskyi, Yevhenii</dc:creator>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Skvarkovskyi, Yevhenii</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-03-01T14:54:04Z</dcterms:available>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/29178"/>
    <dc:creator>Pokojovy, Michael</dc:creator>
    <dcterms:abstract xml:lang="eng">We study a linear model of McKendrick-von Foerster-Keyfitz type for the temporal development of the age structure of a two-sex human population. For the underlying system of partial integro-differential equations, we exploit the semigroup theory to show the classical well-posedness and asymptotic stability in a Hilbert space framework under appropriate conditions on the age-specific mortality and fertility moduli. Finally, we propose an implicit finite difference scheme to numerically solve this problem and prove its convergence under minimal regularity assumptions. A real data application is also given.</dcterms:abstract>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-03-01T14:54:04Z</dc:date>
    <dc:contributor>Pokojovy, Michael</dc:contributor>
    <dcterms:issued>2016</dcterms:issued>
    <dcterms:title>Analysis and Numerics for an Age- and Sex-Structured Population Model</dcterms:title>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen

Versionsgeschichte

Gerade angezeigt 1 - 2 von 2
VersionDatumZusammenfassung
2*
 2016-03-01 07:37:36
1
 2014-10-28 06:56:54
* Ausgewählte Version