Ontology type: schema:ScholarlyArticle Open Access: True
2019-12
AUTHORSZhenzhen Shi, Jianmei Wang, Qingjian Li, Huidong Cheng
ABSTRACTIn this paper, a predator–prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the homoclinic cycle is obtained by analyzing the control parameter q. The existence, uniqueness and asymptotic stability of the periodic orbit are discussed by using the geometric theory of the differential equations, the method of successor functions and analog of the Poincaré criterion. Secondly, we formulate a control optimization with a minimal total cost in pest management, and we obtain an optimal economic threshold. Finally, we verify the main results by numerical simulation. More... »
PAGES2
http://scigraph.springernature.com/pub.10.1186/s13662-018-1933-z
DOIhttp://dx.doi.org/10.1186/s13662-018-1933-z
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1111064127
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": "Shandong University of Science and Technology",
"id": "https://www.grid.ac/institutes/grid.412508.a",
"name": [
"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China"
],
"type": "Organization"
},
"familyName": "Shi",
"givenName": "Zhenzhen",
"type": "Person"
},
{
"affiliation": {
"alternateName": "Shandong University of Science and Technology",
"id": "https://www.grid.ac/institutes/grid.412508.a",
"name": [
"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China"
],
"type": "Organization"
},
"familyName": "Wang",
"givenName": "Jianmei",
"id": "sg:person.010327312433.09",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010327312433.09"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Shandong University of Science and Technology",
"id": "https://www.grid.ac/institutes/grid.412508.a",
"name": [
"College of Foreign Languages, Shandong University of Science and Technology, Qingdao, China"
],
"type": "Organization"
},
"familyName": "Li",
"givenName": "Qingjian",
"type": "Person"
},
{
"affiliation": {
"alternateName": "Shandong University of Science and Technology",
"id": "https://www.grid.ac/institutes/grid.412508.a",
"name": [
"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China"
],
"type": "Organization"
},
"familyName": "Cheng",
"givenName": "Huidong",
"id": "sg:person.013170032312.39",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013170032312.39"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/s11071-014-1486-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000139877",
"https://doi.org/10.1007/s11071-014-1486-y"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11071-016-3129-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001643471",
"https://doi.org/10.1007/s11071-016-3129-y"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11071-016-3129-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001643471",
"https://doi.org/10.1007/s11071-016-3129-y"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1080/17513758.2016.1254286",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1002536596"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.amc.2016.08.033",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1002586397"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1155/2012/181752",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1003090625"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1146/annurev.en.34.010189.000245",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1003551160"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1155/2014/314083",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004931386"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00280586",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1006191577",
"https://doi.org/10.1007/bf00280586"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00280586",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1006191577",
"https://doi.org/10.1007/bf00280586"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11071-016-2779-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1008039881",
"https://doi.org/10.1007/s11071-016-2779-0"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.ecocom.2012.01.002",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1008082122"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.cnsns.2015.10.015",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1010446727"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.mbs.2016.06.006",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1014065223"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s002850100097",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015178879",
"https://doi.org/10.1007/s002850100097"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s002850100095",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015841966",
"https://doi.org/10.1007/s002850100095"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11071-013-1194-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1016519445",
"https://doi.org/10.1007/s11071-013-1194-z"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.aml.2015.07.002",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1018418244"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11071-013-0834-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1018880022",
"https://doi.org/10.1007/s11071-013-0834-7"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.aml.2016.12.007",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023932211"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.cam.2005.12.013",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1024060918"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s13324-015-0116-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1031464761",
"https://doi.org/10.1007/s13324-015-0116-2"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.mbs.2014.08.009",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1036585309"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.mbs.2012.03.011",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1038462749"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11071-014-1473-3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040187974",
"https://doi.org/10.1007/s11071-014-1473-3"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1155/2015/848623",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1042360628"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.jmaa.2003.11.061",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1044849732"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.nahs.2016.09.002",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1049640918"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1142/s1793524514500181",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1063022371"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/2403471",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069913129"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1163-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1084980710",
"https://doi.org/10.1186/s13662-017-1163-9"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1163-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1084980710",
"https://doi.org/10.1186/s13662-017-1163-9"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1155/2017/1950970",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1086097754"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1289-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091051493",
"https://doi.org/10.1186/s13662-017-1289-9"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1289-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091051493",
"https://doi.org/10.1186/s13662-017-1289-9"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1017/s1446788717000143",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091212651"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1300-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091322698",
"https://doi.org/10.1186/s13662-017-1300-5"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1313-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091404941",
"https://doi.org/10.1186/s13662-017-1313-0"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.cnsns.2017.09.005",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091491120"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1155/2017/4861391",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1092575180"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-017-1426-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1093095876",
"https://doi.org/10.1186/s13662-017-1426-5"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.cnsns.2017.11.028",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1099689934"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.physa.2018.01.006",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1100189175"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1484-3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1100557582",
"https://doi.org/10.1186/s13662-018-1484-3"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1499-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1100620326",
"https://doi.org/10.1186/s13662-018-1499-9"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1507-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1101134329",
"https://doi.org/10.1186/s13662-018-1507-0"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1507-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1101134329",
"https://doi.org/10.1186/s13662-018-1507-0"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.na.2018.01.014",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1101185596"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.camwa.2018.03.044",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103605613"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1606-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103628220",
"https://doi.org/10.1186/s13662-018-1606-y"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1606-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103628220",
"https://doi.org/10.1186/s13662-018-1606-y"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.fss.2018.04.016",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103662079"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.fss.2018.04.016",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103662079"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1615-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103779589",
"https://doi.org/10.1186/s13662-018-1615-x"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1615-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1103779589",
"https://doi.org/10.1186/s13662-018-1615-x"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1699-3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1105812645",
"https://doi.org/10.1186/s13662-018-1699-3"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1699-3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1105812645",
"https://doi.org/10.1186/s13662-018-1699-3"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1109/tsmc.2018.2868329",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1107279519"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.amc.2018.09.027",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1107496881"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-018-1820-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1107529774",
"https://doi.org/10.1186/s13662-018-1820-7"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.5486/pmd.2018.8014",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1108467011"
],
"type": "CreativeWork"
}
],
"datePublished": "2019-12",
"datePublishedReg": "2019-12-01",
"description": "In this paper, a predator\u2013prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the homoclinic cycle is obtained by analyzing the control parameter q. The existence, uniqueness and asymptotic stability of the periodic orbit are discussed by using the geometric theory of the differential equations, the method of successor functions and analog of the Poincar\u00e9 criterion. Secondly, we formulate a control optimization with a minimal total cost in pest management, and we obtain an optimal economic threshold. Finally, we verify the main results by numerical simulation.",
"genre": "research_article",
"id": "sg:pub.10.1186/s13662-018-1933-z",
"inLanguage": [
"en"
],
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1052613",
"issn": [
"1687-1839",
"1687-1847"
],
"name": "Advances in Difference Equations",
"type": "Periodical"
},
{
"issueNumber": "1",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "2019"
}
],
"name": "Control optimization and homoclinic bifurcation of a prey\u2013predator model with ratio-dependent",
"pagination": "2",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"ff9405fe6c378f773ae2f5d441dde48e776c52030657046d5875ab1a6036a6ba"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1186/s13662-018-1933-z"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1111064127"
]
}
],
"sameAs": [
"https://doi.org/10.1186/s13662-018-1933-z",
"https://app.dimensions.ai/details/publication/pub.1111064127"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T08:33",
"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/v90/0000000310_0000000310/records_90736_00000000.jsonl",
"type": "ScholarlyArticle",
"url": "https://link.springer.com/10.1186%2Fs13662-018-1933-z"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
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/s13662-018-1933-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.10.1186/s13662-018-1933-z'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13662-018-1933-z'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13662-018-1933-z'
This table displays all metadata directly associated to this object as RDF triples.
259 TRIPLES
21 PREDICATES
79 URIs
19 LITERALS
7 BLANK NODES