Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2022-04-22

AUTHORS

Xiaolei Zhang, Maoxing Liu

ABSTRACT

In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings. More... »

PAGES

35

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13662-022-03707-7

DOI

http://dx.doi.org/10.1186/s13662-022-03707-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1147325962

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/35474915


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, P.R. China", 
          "id": "http://www.grid.ac/institutes/grid.440581.c", 
          "name": [
            "Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, P.R. China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Zhang", 
        "givenName": "Xiaolei", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, P.R. China", 
          "id": "http://www.grid.ac/institutes/grid.440581.c", 
          "name": [
            "Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, P.R. China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Liu", 
        "givenName": "Maoxing", 
        "id": "sg:person.014602654663.58", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014602654663.58"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1186/1687-1847-2013-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024817971", 
          "https://doi.org/10.1186/1687-1847-2013-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1006/s0092-8240(98)90005-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054615077", 
          "https://doi.org/10.1006/s0092-8240(98)90005-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00276519", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050183257", 
          "https://doi.org/10.1007/bf00276519"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1186/s13662-018-1805-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1107341689", 
          "https://doi.org/10.1186/s13662-018-1805-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1186/s40064-016-2706-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046280242", 
          "https://doi.org/10.1186/s40064-016-2706-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10483-007-0914-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024064209", 
          "https://doi.org/10.1007/s10483-007-0914-x"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2022-04-22", 
    "datePublishedReg": "2022-04-22", 
    "description": "In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings.", 
    "genre": "article", 
    "id": "sg:pub.10.1186/s13662-022-03707-7", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1052613", 
        "issn": [
          "1687-1839", 
          "2731-4235"
        ], 
        "name": "Advances in Continuous and Discrete Models", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2022"
      }
    ], 
    "keywords": [
      "SIR epidemic model", 
      "mathematical findings", 
      "dynamical analysis", 
      "epidemic model", 
      "positive solutions", 
      "sufficient conditions", 
      "epidemic dynamics", 
      "numerical simulations", 
      "epidemic transmission", 
      "specific functional responses", 
      "model", 
      "uniqueness", 
      "dynamics", 
      "simulations", 
      "more detail", 
      "existence", 
      "dynamic process", 
      "solution", 
      "occurrence of epidemics", 
      "functional response", 
      "detail", 
      "order", 
      "transmission", 
      "conditions", 
      "analysis", 
      "process", 
      "extinction", 
      "vertical transmission", 
      "epidemic", 
      "vaccination", 
      "occurrence", 
      "response", 
      "factors", 
      "persistence", 
      "findings"
    ], 
    "name": "Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination", 
    "pagination": "35", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1147325962"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1186/s13662-022-03707-7"
        ]
      }, 
      {
        "name": "pubmed_id", 
        "type": "PropertyValue", 
        "value": [
          "35474915"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1186/s13662-022-03707-7", 
      "https://app.dimensions.ai/details/publication/pub.1147325962"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-09-02T16:06", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220902/entities/gbq_results/article/article_931.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1186/s13662-022-03707-7"
  }
]
 

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.10.1186/s13662-022-03707-7'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s13662-022-03707-7'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13662-022-03707-7'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13662-022-03707-7'


 

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

126 TRIPLES      21 PREDICATES      66 URIs      52 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1186/s13662-022-03707-7 schema:about anzsrc-for:01
2 anzsrc-for:0102
3 schema:author N4d4015de1af04a9e9f2692ae0cfbf38d
4 schema:citation sg:pub.10.1006/s0092-8240(98)90005-2
5 sg:pub.10.1007/bf00276519
6 sg:pub.10.1007/s10483-007-0914-x
7 sg:pub.10.1186/1687-1847-2013-3
8 sg:pub.10.1186/s13662-018-1805-6
9 sg:pub.10.1186/s40064-016-2706-3
10 schema:datePublished 2022-04-22
11 schema:datePublishedReg 2022-04-22
12 schema:description In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings.
13 schema:genre article
14 schema:isAccessibleForFree true
15 schema:isPartOf N2aca9dc0afec4543ad975b96aa4e8da7
16 Nf68b65e892d749bcabf2b31b33ed0473
17 sg:journal.1052613
18 schema:keywords SIR epidemic model
19 analysis
20 conditions
21 detail
22 dynamic process
23 dynamical analysis
24 dynamics
25 epidemic
26 epidemic dynamics
27 epidemic model
28 epidemic transmission
29 existence
30 extinction
31 factors
32 findings
33 functional response
34 mathematical findings
35 model
36 more detail
37 numerical simulations
38 occurrence
39 occurrence of epidemics
40 order
41 persistence
42 positive solutions
43 process
44 response
45 simulations
46 solution
47 specific functional responses
48 sufficient conditions
49 transmission
50 uniqueness
51 vaccination
52 vertical transmission
53 schema:name Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination
54 schema:pagination 35
55 schema:productId N101ca52027fc45c0aa6c9a33fbd152ef
56 N61dee901edf44bc0952efd7278209406
57 Nadd3b02fdf27414fa5cdc53fd08e0efc
58 schema:sameAs https://app.dimensions.ai/details/publication/pub.1147325962
59 https://doi.org/10.1186/s13662-022-03707-7
60 schema:sdDatePublished 2022-09-02T16:06
61 schema:sdLicense https://scigraph.springernature.com/explorer/license/
62 schema:sdPublisher N0a2068e1e5864259b57c8fd3cefc4c67
63 schema:url https://doi.org/10.1186/s13662-022-03707-7
64 sgo:license sg:explorer/license/
65 sgo:sdDataset articles
66 rdf:type schema:ScholarlyArticle
67 N0a2068e1e5864259b57c8fd3cefc4c67 schema:name Springer Nature - SN SciGraph project
68 rdf:type schema:Organization
69 N101ca52027fc45c0aa6c9a33fbd152ef schema:name doi
70 schema:value 10.1186/s13662-022-03707-7
71 rdf:type schema:PropertyValue
72 N2aca9dc0afec4543ad975b96aa4e8da7 schema:issueNumber 1
73 rdf:type schema:PublicationIssue
74 N371242687aa94af3b4d3c671b3b1382b schema:affiliation grid-institutes:grid.440581.c
75 schema:familyName Zhang
76 schema:givenName Xiaolei
77 rdf:type schema:Person
78 N4d4015de1af04a9e9f2692ae0cfbf38d rdf:first N371242687aa94af3b4d3c671b3b1382b
79 rdf:rest Nf557ee028b76474c9a6db0121cb52c14
80 N61dee901edf44bc0952efd7278209406 schema:name dimensions_id
81 schema:value pub.1147325962
82 rdf:type schema:PropertyValue
83 Nadd3b02fdf27414fa5cdc53fd08e0efc schema:name pubmed_id
84 schema:value 35474915
85 rdf:type schema:PropertyValue
86 Nf557ee028b76474c9a6db0121cb52c14 rdf:first sg:person.014602654663.58
87 rdf:rest rdf:nil
88 Nf68b65e892d749bcabf2b31b33ed0473 schema:volumeNumber 2022
89 rdf:type schema:PublicationVolume
90 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
91 schema:name Mathematical Sciences
92 rdf:type schema:DefinedTerm
93 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
94 schema:name Applied Mathematics
95 rdf:type schema:DefinedTerm
96 sg:journal.1052613 schema:issn 1687-1839
97 2731-4235
98 schema:name Advances in Continuous and Discrete Models
99 schema:publisher Springer Nature
100 rdf:type schema:Periodical
101 sg:person.014602654663.58 schema:affiliation grid-institutes:grid.440581.c
102 schema:familyName Liu
103 schema:givenName Maoxing
104 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014602654663.58
105 rdf:type schema:Person
106 sg:pub.10.1006/s0092-8240(98)90005-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054615077
107 https://doi.org/10.1006/s0092-8240(98)90005-2
108 rdf:type schema:CreativeWork
109 sg:pub.10.1007/bf00276519 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050183257
110 https://doi.org/10.1007/bf00276519
111 rdf:type schema:CreativeWork
112 sg:pub.10.1007/s10483-007-0914-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1024064209
113 https://doi.org/10.1007/s10483-007-0914-x
114 rdf:type schema:CreativeWork
115 sg:pub.10.1186/1687-1847-2013-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024817971
116 https://doi.org/10.1186/1687-1847-2013-3
117 rdf:type schema:CreativeWork
118 sg:pub.10.1186/s13662-018-1805-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1107341689
119 https://doi.org/10.1186/s13662-018-1805-6
120 rdf:type schema:CreativeWork
121 sg:pub.10.1186/s40064-016-2706-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046280242
122 https://doi.org/10.1186/s40064-016-2706-3
123 rdf:type schema:CreativeWork
124 grid-institutes:grid.440581.c schema:alternateName Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, P.R. China
125 schema:name Department of Mathematics, North University of China, 030051, Taiyuan, Shanxi, P.R. China
126 rdf:type schema:Organization
 




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


...