Optimal control of age-structured populations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1986

AUTHORS

Martin Brokate

ABSTRACT

We consider optimal control of a population with continuous age and time structure. We prove that an optimal control exists, give the necessary optimality conditions, and derive some consequences.

PAGES

125-132

References to SciGraph publications

  • 1974-09. Non-linear age-dependent population dynamics in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1985-12. Pontryagin's principle for control problems in age-dependent population dynamics in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1981-12. On the optimal harvesting of persistent age-structured populations in JOURNAL OF MATHEMATICAL BIOLOGY
  • Book

    TITLE

    System Modelling and Optimization

    ISBN

    3-540-16854-0

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bfb0043831

    DOI

    http://dx.doi.org/10.1007/bfb0043831

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1018367853


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of Augsburg", 
              "id": "https://www.grid.ac/institutes/grid.7307.3", 
              "name": [
                "Institut f\u00fcr Mathematik, Universit\u00e4t Augsburg, Augsburg, F. R. G."
              ], 
              "type": "Organization"
            }, 
            "familyName": "Brokate", 
            "givenName": "Martin", 
            "id": "sg:person.012117736427.77", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012117736427.77"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/0025-5564(81)90015-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000506210"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/b978-0-12-148360-9.50014-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002699926"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00275209", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011643659", 
              "https://doi.org/10.1007/bf00275209"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00275209", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011643659", 
              "https://doi.org/10.1007/bf00275209"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00276559", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033714051", 
              "https://doi.org/10.1007/bf00276559"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00276559", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033714051", 
              "https://doi.org/10.1007/bf00276559"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00250793", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051272341", 
              "https://doi.org/10.1007/bf00250793"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00250793", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051272341", 
              "https://doi.org/10.1007/bf00250793"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1986", 
        "datePublishedReg": "1986-01-01", 
        "description": "We consider optimal control of a population with continuous age and time structure. We prove that an optimal control exists, give the necessary optimality conditions, and derive some consequences.", 
        "editor": [
          {
            "familyName": "Pr\u00e9kopa", 
            "givenName": "A.", 
            "type": "Person"
          }, 
          {
            "familyName": "Szelezs\u00e1an", 
            "givenName": "J.", 
            "type": "Person"
          }, 
          {
            "familyName": "Strazicky", 
            "givenName": "B.", 
            "type": "Person"
          }
        ], 
        "genre": "chapter", 
        "id": "sg:pub.10.1007/bfb0043831", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": {
          "isbn": [
            "3-540-16854-0"
          ], 
          "name": "System Modelling and Optimization", 
          "type": "Book"
        }, 
        "name": "Optimal control of age-structured populations", 
        "pagination": "125-132", 
        "productId": [
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bfb0043831"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "57842d6454694ebd0b401751ed623d93db6d901497ab6c13461a8da5e08e067c"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1018367853"
            ]
          }
        ], 
        "publisher": {
          "location": "Berlin/Heidelberg", 
          "name": "Springer-Verlag", 
          "type": "Organisation"
        }, 
        "sameAs": [
          "https://doi.org/10.1007/bfb0043831", 
          "https://app.dimensions.ai/details/publication/pub.1018367853"
        ], 
        "sdDataset": "chapters", 
        "sdDatePublished": "2019-04-15T16:59", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8678_00000031.jsonl", 
        "type": "Chapter", 
        "url": "http://link.springer.com/10.1007/BFb0043831"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bfb0043831'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bfb0043831'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bfb0043831'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bfb0043831'


     

    This table displays all metadata directly associated to this object as RDF triples.

    84 TRIPLES      22 PREDICATES      30 URIs      20 LITERALS      8 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bfb0043831 schema:author Nb69e189c138949148aca550c2eead7f4
    2 schema:citation sg:pub.10.1007/bf00250793
    3 sg:pub.10.1007/bf00275209
    4 sg:pub.10.1007/bf00276559
    5 https://doi.org/10.1016/0025-5564(81)90015-8
    6 https://doi.org/10.1016/b978-0-12-148360-9.50014-7
    7 schema:datePublished 1986
    8 schema:datePublishedReg 1986-01-01
    9 schema:description We consider optimal control of a population with continuous age and time structure. We prove that an optimal control exists, give the necessary optimality conditions, and derive some consequences.
    10 schema:editor Ne5a3a32591894d64913cce80ae5ed6d5
    11 schema:genre chapter
    12 schema:inLanguage en
    13 schema:isAccessibleForFree false
    14 schema:isPartOf N053b8ac9c7ca40838f5728798a8c745c
    15 schema:name Optimal control of age-structured populations
    16 schema:pagination 125-132
    17 schema:productId N10add2d7503b4ffdab4ae29447eb8d5c
    18 N6142b4aff7d747a88ae38f04b897e102
    19 Nb8d69b77c9bd4cd39d0a195559e4b835
    20 schema:publisher N24a7311a8b7045e2bef4d4bed26fea6c
    21 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018367853
    22 https://doi.org/10.1007/bfb0043831
    23 schema:sdDatePublished 2019-04-15T16:59
    24 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    25 schema:sdPublisher Nef66b44c7ef2493f8c08e69e8329c51a
    26 schema:url http://link.springer.com/10.1007/BFb0043831
    27 sgo:license sg:explorer/license/
    28 sgo:sdDataset chapters
    29 rdf:type schema:Chapter
    30 N053b8ac9c7ca40838f5728798a8c745c schema:isbn 3-540-16854-0
    31 schema:name System Modelling and Optimization
    32 rdf:type schema:Book
    33 N10add2d7503b4ffdab4ae29447eb8d5c schema:name dimensions_id
    34 schema:value pub.1018367853
    35 rdf:type schema:PropertyValue
    36 N24a7311a8b7045e2bef4d4bed26fea6c schema:location Berlin/Heidelberg
    37 schema:name Springer-Verlag
    38 rdf:type schema:Organisation
    39 N32048699ea3d4d0daf3f8a46aa538373 schema:familyName Prékopa
    40 schema:givenName A.
    41 rdf:type schema:Person
    42 N6142b4aff7d747a88ae38f04b897e102 schema:name readcube_id
    43 schema:value 57842d6454694ebd0b401751ed623d93db6d901497ab6c13461a8da5e08e067c
    44 rdf:type schema:PropertyValue
    45 N71ea0d67035b445b94272baf7e8abe2b rdf:first Nd7855d7b9e7d426695ca6e57e6aa06f2
    46 rdf:rest rdf:nil
    47 N741cc228c6a24bb38fad985088417346 rdf:first Na7fa7673acbb456384dc62311f104be4
    48 rdf:rest N71ea0d67035b445b94272baf7e8abe2b
    49 Na7fa7673acbb456384dc62311f104be4 schema:familyName Szelezsáan
    50 schema:givenName J.
    51 rdf:type schema:Person
    52 Nb69e189c138949148aca550c2eead7f4 rdf:first sg:person.012117736427.77
    53 rdf:rest rdf:nil
    54 Nb8d69b77c9bd4cd39d0a195559e4b835 schema:name doi
    55 schema:value 10.1007/bfb0043831
    56 rdf:type schema:PropertyValue
    57 Nd7855d7b9e7d426695ca6e57e6aa06f2 schema:familyName Strazicky
    58 schema:givenName B.
    59 rdf:type schema:Person
    60 Ne5a3a32591894d64913cce80ae5ed6d5 rdf:first N32048699ea3d4d0daf3f8a46aa538373
    61 rdf:rest N741cc228c6a24bb38fad985088417346
    62 Nef66b44c7ef2493f8c08e69e8329c51a schema:name Springer Nature - SN SciGraph project
    63 rdf:type schema:Organization
    64 sg:person.012117736427.77 schema:affiliation https://www.grid.ac/institutes/grid.7307.3
    65 schema:familyName Brokate
    66 schema:givenName Martin
    67 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012117736427.77
    68 rdf:type schema:Person
    69 sg:pub.10.1007/bf00250793 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051272341
    70 https://doi.org/10.1007/bf00250793
    71 rdf:type schema:CreativeWork
    72 sg:pub.10.1007/bf00275209 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011643659
    73 https://doi.org/10.1007/bf00275209
    74 rdf:type schema:CreativeWork
    75 sg:pub.10.1007/bf00276559 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033714051
    76 https://doi.org/10.1007/bf00276559
    77 rdf:type schema:CreativeWork
    78 https://doi.org/10.1016/0025-5564(81)90015-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000506210
    79 rdf:type schema:CreativeWork
    80 https://doi.org/10.1016/b978-0-12-148360-9.50014-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002699926
    81 rdf:type schema:CreativeWork
    82 https://www.grid.ac/institutes/grid.7307.3 schema:alternateName University of Augsburg
    83 schema:name Institut für Mathematik, Universität Augsburg, Augsburg, F. R. G.
    84 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...