The effect of dispersal on single-species nonautonomous dispersal models with delays View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2001-05

AUTHORS

Zhidong Teng, Zhengyi Lu

ABSTRACT

In this paper, single-species nonautonomous dispersal models with delays are considered. An interesting result on the effect of dispersal for persistence and extinction is obtained. That is, if the species is persistent in a patch then it is also persistent in all other patches; if the species is permanent in a patch then it is also permanent in all other patches; if the species is extinct in a patch then it is also extinct in all other patches. Furthermore, some new sufficient conditions for the permanence and extinction of the species in a patch are established. The existence of positive periodic solutions is obtained in the periodic case by employing Teng and Chen's results on the existence of positive periodic solutions for functional differential equations. More... »

PAGES

439-454

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s002850000076

DOI

http://dx.doi.org/10.1007/s002850000076

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040616693

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/11419619


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/2008/0502", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Environmental Science and Management", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/05", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Environmental Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Animals", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Conservation of Natural Resources", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Logistic Models", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Models, Biological", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Nonlinear Dynamics", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Population Dynamics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Xinjiang University", 
          "id": "https://www.grid.ac/institutes/grid.413254.5", 
          "name": [
            "Department of Mathematics, Xinjiang University, Urumqi 830046, P.R. China. e-mail: zhidong@xju.edu.cn, CN"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Teng", 
        "givenName": "Zhidong", 
        "id": "sg:person.01203372045.84", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01203372045.84"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Sichuan University", 
          "id": "https://www.grid.ac/institutes/grid.13291.38", 
          "name": [
            "Department of Mathematics, Sichuan University, Chengdu 610064, P.R. China, CN"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Lu", 
        "givenName": "Zhengyi", 
        "id": "sg:person.013044225051.78", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013044225051.78"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf02458861", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000840272", 
          "https://doi.org/10.1007/bf02458861"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02458861", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000840272", 
          "https://doi.org/10.1007/bf02458861"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0025-5564(87)90051-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007112472"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0898-1221(96)00129-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010547158"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0898-1221(96)00210-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012381393"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0898-1221(98)00124-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024752323"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0362-546x(92)90107-p", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025467033"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0025-5564(94)90038-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030928594"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00160375", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032285819", 
          "https://doi.org/10.1007/bf00160375"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0362-546x(97)00705-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032573472"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0362-546x(94)e0024-b", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049648592"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0898-1221(99)00087-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050348128"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0148035", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062840602"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2001-05", 
    "datePublishedReg": "2001-05-01", 
    "description": "In this paper, single-species nonautonomous dispersal models with delays are considered. An interesting result on the effect of dispersal for persistence and extinction is obtained. That is, if the species is persistent in a patch then it is also persistent in all other patches; if the species is permanent in a patch then it is also permanent in all other patches; if the species is extinct in a patch then it is also extinct in all other patches. Furthermore, some new sufficient conditions for the permanence and extinction of the species in a patch are established. The existence of positive periodic solutions is obtained in the periodic case by employing Teng and Chen's results on the existence of positive periodic solutions for functional differential equations.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s002850000076", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1081642", 
        "issn": [
          "0303-6812", 
          "1432-1416"
        ], 
        "name": "Journal of Mathematical Biology", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "42"
      }
    ], 
    "name": "The effect of dispersal on single-species nonautonomous dispersal models with delays", 
    "pagination": "439-454", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "c17b8b133f2b448ebf5d6934c4e6aaaab25cff6e7352982e210a7551a3555bf4"
        ]
      }, 
      {
        "name": "pubmed_id", 
        "type": "PropertyValue", 
        "value": [
          "11419619"
        ]
      }, 
      {
        "name": "nlm_unique_id", 
        "type": "PropertyValue", 
        "value": [
          "7502105"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s002850000076"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1040616693"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s002850000076", 
      "https://app.dimensions.ai/details/publication/pub.1040616693"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T02:01", 
    "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_8700_00000515.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs002850000076"
  }
]
 

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/s002850000076'

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/s002850000076'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s002850000076'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s002850000076'


 

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

141 TRIPLES      21 PREDICATES      47 URIs      27 LITERALS      15 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s002850000076 schema:about N0d654d4c43a546f88b3fbaed4b2b2c1e
2 N82c31cfd1ea0404798e3b989748c5025
3 N96a5605dd19547bf9622b3ca2154dcd6
4 Nb472642fea8943e1b0d456c2a1bce749
5 Nc3e628b89c5c48d8864d29985dbd225f
6 Nf8a45f3dca2040189d30f38f2ceca160
7 anzsrc-for:05
8 anzsrc-for:0502
9 schema:author N2516df808ac842838d329594ba1a92a0
10 schema:citation sg:pub.10.1007/bf00160375
11 sg:pub.10.1007/bf02458861
12 https://doi.org/10.1016/0025-5564(87)90051-4
13 https://doi.org/10.1016/0025-5564(94)90038-8
14 https://doi.org/10.1016/0362-546x(92)90107-p
15 https://doi.org/10.1016/0362-546x(94)e0024-b
16 https://doi.org/10.1016/0898-1221(96)00129-0
17 https://doi.org/10.1016/s0362-546x(97)00705-0
18 https://doi.org/10.1016/s0898-1221(96)00210-6
19 https://doi.org/10.1016/s0898-1221(98)00124-2
20 https://doi.org/10.1016/s0898-1221(99)00087-5
21 https://doi.org/10.1137/0148035
22 schema:datePublished 2001-05
23 schema:datePublishedReg 2001-05-01
24 schema:description In this paper, single-species nonautonomous dispersal models with delays are considered. An interesting result on the effect of dispersal for persistence and extinction is obtained. That is, if the species is persistent in a patch then it is also persistent in all other patches; if the species is permanent in a patch then it is also permanent in all other patches; if the species is extinct in a patch then it is also extinct in all other patches. Furthermore, some new sufficient conditions for the permanence and extinction of the species in a patch are established. The existence of positive periodic solutions is obtained in the periodic case by employing Teng and Chen's results on the existence of positive periodic solutions for functional differential equations.
25 schema:genre research_article
26 schema:inLanguage en
27 schema:isAccessibleForFree false
28 schema:isPartOf Ndda53f1cae164e919d439e98eec46828
29 Ne2c30e2074934072b7cad0eefeae665c
30 sg:journal.1081642
31 schema:name The effect of dispersal on single-species nonautonomous dispersal models with delays
32 schema:pagination 439-454
33 schema:productId N02d22ffe87c8403ea43fb272dfdce6e8
34 N60c4a7cf93e14fb0b272c8b1f7139f56
35 N626bc84424bc462f98453995f30d80c4
36 N711c674254304186a0953d80646f9feb
37 Nef9aaa575ca042d9bf1b1644edca1cea
38 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040616693
39 https://doi.org/10.1007/s002850000076
40 schema:sdDatePublished 2019-04-11T02:01
41 schema:sdLicense https://scigraph.springernature.com/explorer/license/
42 schema:sdPublisher Nda542747452b4b2e8f4ca416551c9e1e
43 schema:url http://link.springer.com/10.1007%2Fs002850000076
44 sgo:license sg:explorer/license/
45 sgo:sdDataset articles
46 rdf:type schema:ScholarlyArticle
47 N02d22ffe87c8403ea43fb272dfdce6e8 schema:name readcube_id
48 schema:value c17b8b133f2b448ebf5d6934c4e6aaaab25cff6e7352982e210a7551a3555bf4
49 rdf:type schema:PropertyValue
50 N0d654d4c43a546f88b3fbaed4b2b2c1e schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
51 schema:name Conservation of Natural Resources
52 rdf:type schema:DefinedTerm
53 N2516df808ac842838d329594ba1a92a0 rdf:first sg:person.01203372045.84
54 rdf:rest N6ac4e969936d4ea48eacfe35a89b46ca
55 N60c4a7cf93e14fb0b272c8b1f7139f56 schema:name dimensions_id
56 schema:value pub.1040616693
57 rdf:type schema:PropertyValue
58 N626bc84424bc462f98453995f30d80c4 schema:name nlm_unique_id
59 schema:value 7502105
60 rdf:type schema:PropertyValue
61 N6ac4e969936d4ea48eacfe35a89b46ca rdf:first sg:person.013044225051.78
62 rdf:rest rdf:nil
63 N711c674254304186a0953d80646f9feb schema:name pubmed_id
64 schema:value 11419619
65 rdf:type schema:PropertyValue
66 N82c31cfd1ea0404798e3b989748c5025 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
67 schema:name Animals
68 rdf:type schema:DefinedTerm
69 N96a5605dd19547bf9622b3ca2154dcd6 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
70 schema:name Logistic Models
71 rdf:type schema:DefinedTerm
72 Nb472642fea8943e1b0d456c2a1bce749 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
73 schema:name Nonlinear Dynamics
74 rdf:type schema:DefinedTerm
75 Nc3e628b89c5c48d8864d29985dbd225f schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
76 schema:name Population Dynamics
77 rdf:type schema:DefinedTerm
78 Nda542747452b4b2e8f4ca416551c9e1e schema:name Springer Nature - SN SciGraph project
79 rdf:type schema:Organization
80 Ndda53f1cae164e919d439e98eec46828 schema:issueNumber 5
81 rdf:type schema:PublicationIssue
82 Ne2c30e2074934072b7cad0eefeae665c schema:volumeNumber 42
83 rdf:type schema:PublicationVolume
84 Nef9aaa575ca042d9bf1b1644edca1cea schema:name doi
85 schema:value 10.1007/s002850000076
86 rdf:type schema:PropertyValue
87 Nf8a45f3dca2040189d30f38f2ceca160 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
88 schema:name Models, Biological
89 rdf:type schema:DefinedTerm
90 anzsrc-for:05 schema:inDefinedTermSet anzsrc-for:
91 schema:name Environmental Sciences
92 rdf:type schema:DefinedTerm
93 anzsrc-for:0502 schema:inDefinedTermSet anzsrc-for:
94 schema:name Environmental Science and Management
95 rdf:type schema:DefinedTerm
96 sg:journal.1081642 schema:issn 0303-6812
97 1432-1416
98 schema:name Journal of Mathematical Biology
99 rdf:type schema:Periodical
100 sg:person.01203372045.84 schema:affiliation https://www.grid.ac/institutes/grid.413254.5
101 schema:familyName Teng
102 schema:givenName Zhidong
103 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01203372045.84
104 rdf:type schema:Person
105 sg:person.013044225051.78 schema:affiliation https://www.grid.ac/institutes/grid.13291.38
106 schema:familyName Lu
107 schema:givenName Zhengyi
108 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013044225051.78
109 rdf:type schema:Person
110 sg:pub.10.1007/bf00160375 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032285819
111 https://doi.org/10.1007/bf00160375
112 rdf:type schema:CreativeWork
113 sg:pub.10.1007/bf02458861 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000840272
114 https://doi.org/10.1007/bf02458861
115 rdf:type schema:CreativeWork
116 https://doi.org/10.1016/0025-5564(87)90051-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007112472
117 rdf:type schema:CreativeWork
118 https://doi.org/10.1016/0025-5564(94)90038-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030928594
119 rdf:type schema:CreativeWork
120 https://doi.org/10.1016/0362-546x(92)90107-p schema:sameAs https://app.dimensions.ai/details/publication/pub.1025467033
121 rdf:type schema:CreativeWork
122 https://doi.org/10.1016/0362-546x(94)e0024-b schema:sameAs https://app.dimensions.ai/details/publication/pub.1049648592
123 rdf:type schema:CreativeWork
124 https://doi.org/10.1016/0898-1221(96)00129-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010547158
125 rdf:type schema:CreativeWork
126 https://doi.org/10.1016/s0362-546x(97)00705-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032573472
127 rdf:type schema:CreativeWork
128 https://doi.org/10.1016/s0898-1221(96)00210-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012381393
129 rdf:type schema:CreativeWork
130 https://doi.org/10.1016/s0898-1221(98)00124-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024752323
131 rdf:type schema:CreativeWork
132 https://doi.org/10.1016/s0898-1221(99)00087-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050348128
133 rdf:type schema:CreativeWork
134 https://doi.org/10.1137/0148035 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062840602
135 rdf:type schema:CreativeWork
136 https://www.grid.ac/institutes/grid.13291.38 schema:alternateName Sichuan University
137 schema:name Department of Mathematics, Sichuan University, Chengdu 610064, P.R. China, CN
138 rdf:type schema:Organization
139 https://www.grid.ac/institutes/grid.413254.5 schema:alternateName Xinjiang University
140 schema:name Department of Mathematics, Xinjiang University, Urumqi 830046, P.R. China. e-mail: zhidong@xju.edu.cn, CN
141 rdf:type schema:Organization
 




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


...