A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04-01

AUTHORS

Pierre Montagnon

ABSTRACT

We define and study an open stochastic SIR (Susceptible-Infected-Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same time scale. Population transition intensities are assumed to be density-dependent with a constant component, the amplitude of which determines the overall scale of the population process. Standard branching approximation results for the epidemic process are first given, along with a numerical computation method for the probability of a major epidemic outbreak. This procedure is illustrated using real data on trade-related cattle movements from a densely populated livestock farming region in western France (Finistère) and epidemiological parameters corresponding to an infectious epizootic disease. Then we exhibit an exponential lower bound for the extinction time and the total size of the epidemic in the stable endemic case as a scaling parameter goes to infinity using results inspired by the Freidlin-Wentzell theory of large deviations from a dynamical system. More... »

PAGES

1-32

Journal

TITLE

Journal of Mathematical Biology

ISSUE

N/A

VOLUME

N/A

From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00285-019-01349-0

    DOI

    http://dx.doi.org/10.1007/s00285-019-01349-0

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1113173438

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/30937531


    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", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Applied Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Centre de Recherches de Jouy-en-Josas", 
              "id": "https://www.grid.ac/institutes/grid.417961.c", 
              "name": [
                "CMAP, \u00c9cole Polytechnique, Route de Saclay, 91128, Palaiseau Cedex, France", 
                "MaIAGE, INRA, Universit\u00e9 Paris-Saclay, 78350, Jouy-en-Josas, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Montagnon", 
            "givenName": "Pierre", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1111/j.1095-8312.1991.tb00550.x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001887738"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspb.2006.0030", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006728211"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.mbs.2008.01.001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007241820"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ejor.2013.01.032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007371755"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1111/1467-9868.00178", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008100805"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002850050077", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010295633", 
              "https://doi.org/10.1007/s002850050077"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1371/journal.pone.0152144", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011829742"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physa.2015.04.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012945774"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.mbs.2012.01.002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014608741"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0252-9602(13)60003-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016290489"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1022600742", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-1158-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022600742", 
              "https://doi.org/10.1007/978-1-4612-1158-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-1158-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022600742", 
              "https://doi.org/10.1007/978-1-4612-1158-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspb.2004.3046", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022611762"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1111/j.1865-1682.2010.01187.x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023114537"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1186/1746-6148-7-31", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025096192", 
              "https://doi.org/10.1186/1746-6148-7-31"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/srep00469", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026257515", 
              "https://doi.org/10.1038/srep00469"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1186/s13567-015-0156-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031796050", 
              "https://doi.org/10.1186/s13567-015-0156-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1186/s13567-015-0156-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031796050", 
              "https://doi.org/10.1186/s13567-015-0156-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1111/j.1467-842x.1969.tb00300.x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033389002"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/17513750601032711", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034275891"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1034943124", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-65371-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034943124", 
              "https://doi.org/10.1007/978-3-642-65371-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-65371-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034943124", 
              "https://doi.org/10.1007/978-3-642-65371-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspb.2006.3754", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038928799"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.mbs.2010.01.006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039829213"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.prevetmed.2014.09.005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040452606"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00298644", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042123915", 
              "https://doi.org/10.1007/bf00298644"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002850000060", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043728559", 
              "https://doi.org/10.1007/s002850000060"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-247x(67)90155-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043940325"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-10067-7_18", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044627532", 
              "https://doi.org/10.1007/978-3-662-10067-7_18"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11538-014-9942-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046769363", 
              "https://doi.org/10.1007/s11538-014-9942-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11538-014-9942-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046769363", 
              "https://doi.org/10.1007/s11538-014-9942-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ifacol.2015.11.026", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047310239"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspa.1927.0118", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047710630"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/icesjms/3.1.3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059656362"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1214/aoap/1034968231", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064397740"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1214/aoms/1177698395", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064399298"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1427522", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069490486"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1427788", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069490736"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3212262", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070226485"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3213797", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070227980"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3215070", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070229205"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3215114", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070229244"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.aml.2017.04.021", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085065219"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/comnet/cnw026", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085367409"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/jpr.2017.41", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091807235"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jtbi.2018.04.029", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1103639690"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/9780470316658", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1109496263"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1109496263", 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-04-01", 
        "datePublishedReg": "2019-04-01", 
        "description": "We define and study an open stochastic SIR (Susceptible-Infected-Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same time scale. Population transition intensities are assumed to be density-dependent with a constant component, the amplitude of which determines the overall scale of the population process. Standard branching approximation results for the epidemic process are first given, along with a numerical computation method for the probability of a major epidemic outbreak. This procedure is illustrated using real data on trade-related cattle movements from a densely populated livestock farming region in western France (Finist\u00e8re) and epidemiological parameters corresponding to an infectious epizootic disease. Then we exhibit an exponential lower bound for the extinction time and the total size of the epidemic in the stable endemic case as a scaling parameter goes to infinity using results inspired by the Freidlin-Wentzell theory of large deviations from a dynamical system.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s00285-019-01349-0", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isFundedItemOf": [
          {
            "id": "sg:grant.7738767", 
            "type": "MonetaryGrant"
          }
        ], 
        "isPartOf": [
          {
            "id": "sg:journal.1081642", 
            "issn": [
              "0303-6812", 
              "1432-1416"
            ], 
            "name": "Journal of Mathematical Biology", 
            "type": "Periodical"
          }
        ], 
        "name": "A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale", 
        "pagination": "1-32", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "6eb993ef1cf1d4f0bd3997b89b94fd92aa8a690a3c9c69850e737aa777208c1e"
            ]
          }, 
          {
            "name": "pubmed_id", 
            "type": "PropertyValue", 
            "value": [
              "30937531"
            ]
          }, 
          {
            "name": "nlm_unique_id", 
            "type": "PropertyValue", 
            "value": [
              "7502105"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s00285-019-01349-0"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1113173438"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s00285-019-01349-0", 
          "https://app.dimensions.ai/details/publication/pub.1113173438"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:50", 
        "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/v90/0000000371_0000000371/records_130794_00000006.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs00285-019-01349-0"
      }
    ]
     

    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/s00285-019-01349-0'

    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/s00285-019-01349-0'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00285-019-01349-0'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00285-019-01349-0'


     

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

    210 TRIPLES      21 PREDICATES      72 URIs      18 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s00285-019-01349-0 schema:about anzsrc-for:01
    2 anzsrc-for:0102
    3 schema:author Nd88166a39b424177b02adbe90b6dfb20
    4 schema:citation sg:pub.10.1007/978-1-4612-1158-7
    5 sg:pub.10.1007/978-3-642-65371-1
    6 sg:pub.10.1007/978-3-662-10067-7_18
    7 sg:pub.10.1007/bf00298644
    8 sg:pub.10.1007/s002850000060
    9 sg:pub.10.1007/s002850050077
    10 sg:pub.10.1007/s11538-014-9942-x
    11 sg:pub.10.1038/srep00469
    12 sg:pub.10.1186/1746-6148-7-31
    13 sg:pub.10.1186/s13567-015-0156-5
    14 https://app.dimensions.ai/details/publication/pub.1022600742
    15 https://app.dimensions.ai/details/publication/pub.1034943124
    16 https://app.dimensions.ai/details/publication/pub.1109496263
    17 https://doi.org/10.1002/9780470316658
    18 https://doi.org/10.1016/0022-247x(67)90155-2
    19 https://doi.org/10.1016/j.aml.2017.04.021
    20 https://doi.org/10.1016/j.ejor.2013.01.032
    21 https://doi.org/10.1016/j.ifacol.2015.11.026
    22 https://doi.org/10.1016/j.jtbi.2018.04.029
    23 https://doi.org/10.1016/j.mbs.2008.01.001
    24 https://doi.org/10.1016/j.mbs.2010.01.006
    25 https://doi.org/10.1016/j.mbs.2012.01.002
    26 https://doi.org/10.1016/j.physa.2015.04.007
    27 https://doi.org/10.1016/j.prevetmed.2014.09.005
    28 https://doi.org/10.1016/s0252-9602(13)60003-x
    29 https://doi.org/10.1017/jpr.2017.41
    30 https://doi.org/10.1080/17513750601032711
    31 https://doi.org/10.1093/comnet/cnw026
    32 https://doi.org/10.1093/icesjms/3.1.3
    33 https://doi.org/10.1098/rspa.1927.0118
    34 https://doi.org/10.1098/rspb.2004.3046
    35 https://doi.org/10.1098/rspb.2006.0030
    36 https://doi.org/10.1098/rspb.2006.3754
    37 https://doi.org/10.1111/1467-9868.00178
    38 https://doi.org/10.1111/j.1095-8312.1991.tb00550.x
    39 https://doi.org/10.1111/j.1467-842x.1969.tb00300.x
    40 https://doi.org/10.1111/j.1865-1682.2010.01187.x
    41 https://doi.org/10.1214/aoap/1034968231
    42 https://doi.org/10.1214/aoms/1177698395
    43 https://doi.org/10.1371/journal.pone.0152144
    44 https://doi.org/10.2307/1427522
    45 https://doi.org/10.2307/1427788
    46 https://doi.org/10.2307/3212262
    47 https://doi.org/10.2307/3213797
    48 https://doi.org/10.2307/3215070
    49 https://doi.org/10.2307/3215114
    50 schema:datePublished 2019-04-01
    51 schema:datePublishedReg 2019-04-01
    52 schema:description We define and study an open stochastic SIR (Susceptible-Infected-Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same time scale. Population transition intensities are assumed to be density-dependent with a constant component, the amplitude of which determines the overall scale of the population process. Standard branching approximation results for the epidemic process are first given, along with a numerical computation method for the probability of a major epidemic outbreak. This procedure is illustrated using real data on trade-related cattle movements from a densely populated livestock farming region in western France (Finistère) and epidemiological parameters corresponding to an infectious epizootic disease. Then we exhibit an exponential lower bound for the extinction time and the total size of the epidemic in the stable endemic case as a scaling parameter goes to infinity using results inspired by the Freidlin-Wentzell theory of large deviations from a dynamical system.
    53 schema:genre research_article
    54 schema:inLanguage en
    55 schema:isAccessibleForFree false
    56 schema:isPartOf sg:journal.1081642
    57 schema:name A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale
    58 schema:pagination 1-32
    59 schema:productId N1f9c0f7202034d5fbe3045ce71f43976
    60 N5357283cc83748cdb314fa2941276881
    61 N73589414304649dcb2cff59712742b8b
    62 Ndcaf3d607a464d3986ad20625959a37a
    63 Ne243fe455c9f4573b49e623dbb25a71b
    64 schema:sameAs https://app.dimensions.ai/details/publication/pub.1113173438
    65 https://doi.org/10.1007/s00285-019-01349-0
    66 schema:sdDatePublished 2019-04-11T13:50
    67 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    68 schema:sdPublisher N4a8def9c74824855831faf0809888aa9
    69 schema:url https://link.springer.com/10.1007%2Fs00285-019-01349-0
    70 sgo:license sg:explorer/license/
    71 sgo:sdDataset articles
    72 rdf:type schema:ScholarlyArticle
    73 N1f9c0f7202034d5fbe3045ce71f43976 schema:name nlm_unique_id
    74 schema:value 7502105
    75 rdf:type schema:PropertyValue
    76 N423e38bea1af4c4a9ec50068c1ba7f45 schema:affiliation https://www.grid.ac/institutes/grid.417961.c
    77 schema:familyName Montagnon
    78 schema:givenName Pierre
    79 rdf:type schema:Person
    80 N4a8def9c74824855831faf0809888aa9 schema:name Springer Nature - SN SciGraph project
    81 rdf:type schema:Organization
    82 N5357283cc83748cdb314fa2941276881 schema:name readcube_id
    83 schema:value 6eb993ef1cf1d4f0bd3997b89b94fd92aa8a690a3c9c69850e737aa777208c1e
    84 rdf:type schema:PropertyValue
    85 N73589414304649dcb2cff59712742b8b schema:name dimensions_id
    86 schema:value pub.1113173438
    87 rdf:type schema:PropertyValue
    88 Nd88166a39b424177b02adbe90b6dfb20 rdf:first N423e38bea1af4c4a9ec50068c1ba7f45
    89 rdf:rest rdf:nil
    90 Ndcaf3d607a464d3986ad20625959a37a schema:name pubmed_id
    91 schema:value 30937531
    92 rdf:type schema:PropertyValue
    93 Ne243fe455c9f4573b49e623dbb25a71b schema:name doi
    94 schema:value 10.1007/s00285-019-01349-0
    95 rdf:type schema:PropertyValue
    96 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    97 schema:name Mathematical Sciences
    98 rdf:type schema:DefinedTerm
    99 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
    100 schema:name Applied Mathematics
    101 rdf:type schema:DefinedTerm
    102 sg:grant.7738767 http://pending.schema.org/fundedItem sg:pub.10.1007/s00285-019-01349-0
    103 rdf:type schema:MonetaryGrant
    104 sg:journal.1081642 schema:issn 0303-6812
    105 1432-1416
    106 schema:name Journal of Mathematical Biology
    107 rdf:type schema:Periodical
    108 sg:pub.10.1007/978-1-4612-1158-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022600742
    109 https://doi.org/10.1007/978-1-4612-1158-7
    110 rdf:type schema:CreativeWork
    111 sg:pub.10.1007/978-3-642-65371-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034943124
    112 https://doi.org/10.1007/978-3-642-65371-1
    113 rdf:type schema:CreativeWork
    114 sg:pub.10.1007/978-3-662-10067-7_18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044627532
    115 https://doi.org/10.1007/978-3-662-10067-7_18
    116 rdf:type schema:CreativeWork
    117 sg:pub.10.1007/bf00298644 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042123915
    118 https://doi.org/10.1007/bf00298644
    119 rdf:type schema:CreativeWork
    120 sg:pub.10.1007/s002850000060 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043728559
    121 https://doi.org/10.1007/s002850000060
    122 rdf:type schema:CreativeWork
    123 sg:pub.10.1007/s002850050077 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010295633
    124 https://doi.org/10.1007/s002850050077
    125 rdf:type schema:CreativeWork
    126 sg:pub.10.1007/s11538-014-9942-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1046769363
    127 https://doi.org/10.1007/s11538-014-9942-x
    128 rdf:type schema:CreativeWork
    129 sg:pub.10.1038/srep00469 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026257515
    130 https://doi.org/10.1038/srep00469
    131 rdf:type schema:CreativeWork
    132 sg:pub.10.1186/1746-6148-7-31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025096192
    133 https://doi.org/10.1186/1746-6148-7-31
    134 rdf:type schema:CreativeWork
    135 sg:pub.10.1186/s13567-015-0156-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031796050
    136 https://doi.org/10.1186/s13567-015-0156-5
    137 rdf:type schema:CreativeWork
    138 https://app.dimensions.ai/details/publication/pub.1022600742 schema:CreativeWork
    139 https://app.dimensions.ai/details/publication/pub.1034943124 schema:CreativeWork
    140 https://app.dimensions.ai/details/publication/pub.1109496263 schema:CreativeWork
    141 https://doi.org/10.1002/9780470316658 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109496263
    142 rdf:type schema:CreativeWork
    143 https://doi.org/10.1016/0022-247x(67)90155-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043940325
    144 rdf:type schema:CreativeWork
    145 https://doi.org/10.1016/j.aml.2017.04.021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085065219
    146 rdf:type schema:CreativeWork
    147 https://doi.org/10.1016/j.ejor.2013.01.032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007371755
    148 rdf:type schema:CreativeWork
    149 https://doi.org/10.1016/j.ifacol.2015.11.026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047310239
    150 rdf:type schema:CreativeWork
    151 https://doi.org/10.1016/j.jtbi.2018.04.029 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103639690
    152 rdf:type schema:CreativeWork
    153 https://doi.org/10.1016/j.mbs.2008.01.001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007241820
    154 rdf:type schema:CreativeWork
    155 https://doi.org/10.1016/j.mbs.2010.01.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039829213
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1016/j.mbs.2012.01.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014608741
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1016/j.physa.2015.04.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012945774
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1016/j.prevetmed.2014.09.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040452606
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.1016/s0252-9602(13)60003-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1016290489
    164 rdf:type schema:CreativeWork
    165 https://doi.org/10.1017/jpr.2017.41 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091807235
    166 rdf:type schema:CreativeWork
    167 https://doi.org/10.1080/17513750601032711 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034275891
    168 rdf:type schema:CreativeWork
    169 https://doi.org/10.1093/comnet/cnw026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085367409
    170 rdf:type schema:CreativeWork
    171 https://doi.org/10.1093/icesjms/3.1.3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059656362
    172 rdf:type schema:CreativeWork
    173 https://doi.org/10.1098/rspa.1927.0118 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047710630
    174 rdf:type schema:CreativeWork
    175 https://doi.org/10.1098/rspb.2004.3046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022611762
    176 rdf:type schema:CreativeWork
    177 https://doi.org/10.1098/rspb.2006.0030 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006728211
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1098/rspb.2006.3754 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038928799
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1111/1467-9868.00178 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008100805
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.1111/j.1095-8312.1991.tb00550.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1001887738
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.1111/j.1467-842x.1969.tb00300.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1033389002
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.1111/j.1865-1682.2010.01187.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1023114537
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.1214/aoap/1034968231 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064397740
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.1214/aoms/1177698395 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064399298
    192 rdf:type schema:CreativeWork
    193 https://doi.org/10.1371/journal.pone.0152144 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011829742
    194 rdf:type schema:CreativeWork
    195 https://doi.org/10.2307/1427522 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069490486
    196 rdf:type schema:CreativeWork
    197 https://doi.org/10.2307/1427788 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069490736
    198 rdf:type schema:CreativeWork
    199 https://doi.org/10.2307/3212262 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070226485
    200 rdf:type schema:CreativeWork
    201 https://doi.org/10.2307/3213797 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070227980
    202 rdf:type schema:CreativeWork
    203 https://doi.org/10.2307/3215070 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070229205
    204 rdf:type schema:CreativeWork
    205 https://doi.org/10.2307/3215114 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070229244
    206 rdf:type schema:CreativeWork
    207 https://www.grid.ac/institutes/grid.417961.c schema:alternateName Centre de Recherches de Jouy-en-Josas
    208 schema:name CMAP, École Polytechnique, Route de Saclay, 91128, Palaiseau Cedex, France
    209 MaIAGE, INRA, Université Paris-Saclay, 78350, Jouy-en-Josas, France
    210 rdf:type schema:Organization
     




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


    ...