Stability of Traveling Wavefronts for a Nonlocal Dispersal System with Delay View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Zhihua Guo, Shi-Liang Wu

ABSTRACT

This paper is concerned with a nonlocal epidemic model arising from the spread of an epidemic by oral-fecal transmission. Comparing with the previous works, here we extend the model in Capasso and Maddalena, Nonlinear Phenom Math Sci. 41:207–217 (1982) by including a spatial convolution term and a discrete delay term corresponding to the dispersal of bacteria in the environment and the latent period of the virus, respectively. Besides existence and asymptotic behavior, the main part of the paper is devoted to the stability of the traveling wavefronts under some monostable assumptions. By using a comparison theorem and the weighted energy method with a suitably selected weight function, we show that all the non-critical traveling waves are exponentially stable. Finally, we apply our results to a specific epidemic model and discuss the effect of time delay on the stability of wavefront. More... »

PAGES

175-195

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10883-018-9405-z

DOI

http://dx.doi.org/10.1007/s10883-018-9405-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1104158891


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/2008/1117", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Public Health and Health Services", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Medical and Health Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Xidian University", 
          "id": "https://www.grid.ac/institutes/grid.440736.2", 
          "name": [
            "School of Mathematics and Statistics, Xidian University Xi\u2019an, 710071, Shaanxi, People\u2019s Republic of China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Guo", 
        "givenName": "Zhihua", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Xidian University", 
          "id": "https://www.grid.ac/institutes/grid.440736.2", 
          "name": [
            "School of Mathematics and Statistics, Xidian University Xi\u2019an, 710071, Shaanxi, People\u2019s Republic of China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Wu", 
        "givenName": "Shi-Liang", 
        "id": "sg:person.07420735147.06", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07420735147.06"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.jmaa.2009.11.028", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003812158"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(84)90147-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005883956"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/b98869", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012012562", 
          "https://doi.org/10.1007/b98869"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/b98869", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012012562", 
          "https://doi.org/10.1007/b98869"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10884-008-9103-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014945923", 
          "https://doi.org/10.1007/s10884-008-9103-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10884-014-9416-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020374274", 
          "https://doi.org/10.1007/s10884-014-9416-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0377-0427(02)00363-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020856354"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2014.10.009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021047817"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2008.12.026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023523894"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00275212", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027072333", 
          "https://doi.org/10.1007/bf00275212"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00275212", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027072333", 
          "https://doi.org/10.1007/bf00275212"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2009.12.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027320603"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.nonrwa.2010.09.017", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029432667"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2008.12.020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030437619"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/b978-0-12-434170-8.50031-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030456726"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-0396(03)00175-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038065453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-0396(03)00175-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038065453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jtbi.2000.2287", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041538900"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9939-04-07432-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046089478"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10884-004-6113-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046676098", 
          "https://doi.org/10.1007/s10884-004-6113-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00332-007-9003-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048336617", 
          "https://doi.org/10.1007/s00332-007-9003-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00332-007-9003-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048336617", 
          "https://doi.org/10.1007/s00332-007-9003-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/s0305004100053494", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053847964"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0951-7715/26/1/121", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059110218"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/qam/963580", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059349554"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/tran/6526", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059351414"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/090776342", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062856875"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/s0036139995284681", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062875288"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcds.2012.32.3621", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071734517"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcds.2016.36.1331", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071735427"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdsb.2004.4.1117", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071735913"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdsb.2005.5.1043", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071735999"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdsb.2012.17.347", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071736793"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aml.2017.05.014", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1085609596"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-04", 
    "datePublishedReg": "2019-04-01", 
    "description": "This paper is concerned with a nonlocal epidemic model arising from the spread of an epidemic by oral-fecal transmission. Comparing with the previous works, here we extend the model in Capasso and Maddalena, Nonlinear Phenom Math Sci. 41:207\u2013217 (1982) by including a spatial convolution term and a discrete delay term corresponding to the dispersal of bacteria in the environment and the latent period of the virus, respectively. Besides existence and asymptotic behavior, the main part of the paper is devoted to the stability of the traveling wavefronts under some monostable assumptions. By using a comparison theorem and the weighted energy method with a suitably selected weight function, we show that all the non-critical traveling waves are exponentially stable. Finally, we apply our results to a specific epidemic model and discuss the effect of time delay on the stability of wavefront.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s10883-018-9405-z", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1052643", 
        "issn": [
          "1079-2724", 
          "1573-8698"
        ], 
        "name": "Journal of Dynamical and Control Systems", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "25"
      }
    ], 
    "name": "Stability of Traveling Wavefronts for a Nonlocal Dispersal System with Delay", 
    "pagination": "175-195", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "997bb59ed0031cb6074ca5c0e2914819798019f404826c22f840a7366060b19d"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10883-018-9405-z"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1104158891"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10883-018-9405-z", 
      "https://app.dimensions.ai/details/publication/pub.1104158891"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:17", 
    "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/v90/0000000368_0000000368/records_78938_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs10883-018-9405-z"
  }
]
 

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/s10883-018-9405-z'

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/s10883-018-9405-z'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10883-018-9405-z'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10883-018-9405-z'


 

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

163 TRIPLES      21 PREDICATES      57 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10883-018-9405-z schema:about anzsrc-for:11
2 anzsrc-for:1117
3 schema:author N263d4011492b455f93557689d9529c35
4 schema:citation sg:pub.10.1007/b98869
5 sg:pub.10.1007/bf00275212
6 sg:pub.10.1007/s00332-007-9003-9
7 sg:pub.10.1007/s10884-004-6113-z
8 sg:pub.10.1007/s10884-008-9103-8
9 sg:pub.10.1007/s10884-014-9416-8
10 https://doi.org/10.1006/jtbi.2000.2287
11 https://doi.org/10.1016/0022-247x(84)90147-1
12 https://doi.org/10.1016/b978-0-12-434170-8.50031-5
13 https://doi.org/10.1016/j.aml.2017.05.014
14 https://doi.org/10.1016/j.jde.2008.12.020
15 https://doi.org/10.1016/j.jde.2008.12.026
16 https://doi.org/10.1016/j.jde.2014.10.009
17 https://doi.org/10.1016/j.jmaa.2009.11.028
18 https://doi.org/10.1016/j.na.2009.12.008
19 https://doi.org/10.1016/j.nonrwa.2010.09.017
20 https://doi.org/10.1016/s0022-0396(03)00175-x
21 https://doi.org/10.1016/s0377-0427(02)00363-1
22 https://doi.org/10.1017/s0305004100053494
23 https://doi.org/10.1088/0951-7715/26/1/121
24 https://doi.org/10.1090/qam/963580
25 https://doi.org/10.1090/s0002-9939-04-07432-5
26 https://doi.org/10.1090/tran/6526
27 https://doi.org/10.1137/090776342
28 https://doi.org/10.1137/s0036139995284681
29 https://doi.org/10.3934/dcds.2012.32.3621
30 https://doi.org/10.3934/dcds.2016.36.1331
31 https://doi.org/10.3934/dcdsb.2004.4.1117
32 https://doi.org/10.3934/dcdsb.2005.5.1043
33 https://doi.org/10.3934/dcdsb.2012.17.347
34 schema:datePublished 2019-04
35 schema:datePublishedReg 2019-04-01
36 schema:description This paper is concerned with a nonlocal epidemic model arising from the spread of an epidemic by oral-fecal transmission. Comparing with the previous works, here we extend the model in Capasso and Maddalena, Nonlinear Phenom Math Sci. 41:207–217 (1982) by including a spatial convolution term and a discrete delay term corresponding to the dispersal of bacteria in the environment and the latent period of the virus, respectively. Besides existence and asymptotic behavior, the main part of the paper is devoted to the stability of the traveling wavefronts under some monostable assumptions. By using a comparison theorem and the weighted energy method with a suitably selected weight function, we show that all the non-critical traveling waves are exponentially stable. Finally, we apply our results to a specific epidemic model and discuss the effect of time delay on the stability of wavefront.
37 schema:genre research_article
38 schema:inLanguage en
39 schema:isAccessibleForFree false
40 schema:isPartOf N22517da00b74465e85dffb363facc012
41 Nff19a55fa5094556b3874d1cbc858fe6
42 sg:journal.1052643
43 schema:name Stability of Traveling Wavefronts for a Nonlocal Dispersal System with Delay
44 schema:pagination 175-195
45 schema:productId N3132ced395bb43e285fc86d9c7c2d21b
46 N6c8f46f4b83d48168563388987787fd2
47 N9e4d04e4f4d44f8ba6b3cd36c0ba8b76
48 schema:sameAs https://app.dimensions.ai/details/publication/pub.1104158891
49 https://doi.org/10.1007/s10883-018-9405-z
50 schema:sdDatePublished 2019-04-11T13:17
51 schema:sdLicense https://scigraph.springernature.com/explorer/license/
52 schema:sdPublisher Ne21d517bc1e443f7bebc56f5b6d590d1
53 schema:url https://link.springer.com/10.1007%2Fs10883-018-9405-z
54 sgo:license sg:explorer/license/
55 sgo:sdDataset articles
56 rdf:type schema:ScholarlyArticle
57 N22517da00b74465e85dffb363facc012 schema:volumeNumber 25
58 rdf:type schema:PublicationVolume
59 N263d4011492b455f93557689d9529c35 rdf:first Nf4b35ce09a0642f09c1187a8288b510b
60 rdf:rest Nf26adc2da2c94a5ba63120533ea9ef33
61 N3132ced395bb43e285fc86d9c7c2d21b schema:name dimensions_id
62 schema:value pub.1104158891
63 rdf:type schema:PropertyValue
64 N6c8f46f4b83d48168563388987787fd2 schema:name readcube_id
65 schema:value 997bb59ed0031cb6074ca5c0e2914819798019f404826c22f840a7366060b19d
66 rdf:type schema:PropertyValue
67 N9e4d04e4f4d44f8ba6b3cd36c0ba8b76 schema:name doi
68 schema:value 10.1007/s10883-018-9405-z
69 rdf:type schema:PropertyValue
70 Ne21d517bc1e443f7bebc56f5b6d590d1 schema:name Springer Nature - SN SciGraph project
71 rdf:type schema:Organization
72 Nf26adc2da2c94a5ba63120533ea9ef33 rdf:first sg:person.07420735147.06
73 rdf:rest rdf:nil
74 Nf4b35ce09a0642f09c1187a8288b510b schema:affiliation https://www.grid.ac/institutes/grid.440736.2
75 schema:familyName Guo
76 schema:givenName Zhihua
77 rdf:type schema:Person
78 Nff19a55fa5094556b3874d1cbc858fe6 schema:issueNumber 2
79 rdf:type schema:PublicationIssue
80 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
81 schema:name Medical and Health Sciences
82 rdf:type schema:DefinedTerm
83 anzsrc-for:1117 schema:inDefinedTermSet anzsrc-for:
84 schema:name Public Health and Health Services
85 rdf:type schema:DefinedTerm
86 sg:journal.1052643 schema:issn 1079-2724
87 1573-8698
88 schema:name Journal of Dynamical and Control Systems
89 rdf:type schema:Periodical
90 sg:person.07420735147.06 schema:affiliation https://www.grid.ac/institutes/grid.440736.2
91 schema:familyName Wu
92 schema:givenName Shi-Liang
93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07420735147.06
94 rdf:type schema:Person
95 sg:pub.10.1007/b98869 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012012562
96 https://doi.org/10.1007/b98869
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/bf00275212 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027072333
99 https://doi.org/10.1007/bf00275212
100 rdf:type schema:CreativeWork
101 sg:pub.10.1007/s00332-007-9003-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048336617
102 https://doi.org/10.1007/s00332-007-9003-9
103 rdf:type schema:CreativeWork
104 sg:pub.10.1007/s10884-004-6113-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1046676098
105 https://doi.org/10.1007/s10884-004-6113-z
106 rdf:type schema:CreativeWork
107 sg:pub.10.1007/s10884-008-9103-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014945923
108 https://doi.org/10.1007/s10884-008-9103-8
109 rdf:type schema:CreativeWork
110 sg:pub.10.1007/s10884-014-9416-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020374274
111 https://doi.org/10.1007/s10884-014-9416-8
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1006/jtbi.2000.2287 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041538900
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1016/0022-247x(84)90147-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005883956
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1016/b978-0-12-434170-8.50031-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030456726
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1016/j.aml.2017.05.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085609596
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1016/j.jde.2008.12.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030437619
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1016/j.jde.2008.12.026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023523894
124 rdf:type schema:CreativeWork
125 https://doi.org/10.1016/j.jde.2014.10.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021047817
126 rdf:type schema:CreativeWork
127 https://doi.org/10.1016/j.jmaa.2009.11.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003812158
128 rdf:type schema:CreativeWork
129 https://doi.org/10.1016/j.na.2009.12.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027320603
130 rdf:type schema:CreativeWork
131 https://doi.org/10.1016/j.nonrwa.2010.09.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029432667
132 rdf:type schema:CreativeWork
133 https://doi.org/10.1016/s0022-0396(03)00175-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1038065453
134 rdf:type schema:CreativeWork
135 https://doi.org/10.1016/s0377-0427(02)00363-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020856354
136 rdf:type schema:CreativeWork
137 https://doi.org/10.1017/s0305004100053494 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053847964
138 rdf:type schema:CreativeWork
139 https://doi.org/10.1088/0951-7715/26/1/121 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059110218
140 rdf:type schema:CreativeWork
141 https://doi.org/10.1090/qam/963580 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059349554
142 rdf:type schema:CreativeWork
143 https://doi.org/10.1090/s0002-9939-04-07432-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046089478
144 rdf:type schema:CreativeWork
145 https://doi.org/10.1090/tran/6526 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059351414
146 rdf:type schema:CreativeWork
147 https://doi.org/10.1137/090776342 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062856875
148 rdf:type schema:CreativeWork
149 https://doi.org/10.1137/s0036139995284681 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062875288
150 rdf:type schema:CreativeWork
151 https://doi.org/10.3934/dcds.2012.32.3621 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071734517
152 rdf:type schema:CreativeWork
153 https://doi.org/10.3934/dcds.2016.36.1331 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071735427
154 rdf:type schema:CreativeWork
155 https://doi.org/10.3934/dcdsb.2004.4.1117 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071735913
156 rdf:type schema:CreativeWork
157 https://doi.org/10.3934/dcdsb.2005.5.1043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071735999
158 rdf:type schema:CreativeWork
159 https://doi.org/10.3934/dcdsb.2012.17.347 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071736793
160 rdf:type schema:CreativeWork
161 https://www.grid.ac/institutes/grid.440736.2 schema:alternateName Xidian University
162 schema:name School of Mathematics and Statistics, Xidian University Xi’an, 710071, Shaanxi, People’s Republic of China
163 rdf:type schema:Organization
 




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


...