{"id":"https://openalex.org/W2000744193","doi":"https://doi.org/10.1155/2012/270104","title":"Existence of Almost\u2010Periodic Solutions for Lotka\u2010Volterra Cooperative Systems with Time Delay","display_name":"Existence of Almost\u2010Periodic Solutions for Lotka\u2010Volterra Cooperative Systems with Time Delay","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2000744193","doi":"https://doi.org/10.1155/2012/270104","mag":"2000744193"},"language":"en","primary_location":{"id":"doi:10.1155/2012/270104","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/270104","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/270104.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/270104.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090764974","display_name":"Kaihong Zhao","orcid":"https://orcid.org/0000-0003-2236-3016"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kaihong Zhao","raw_affiliation_strings":["Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, China","Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093","institution_ids":["https://openalex.org/I10660446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090764974"],"corresponding_institution_ids":["https://openalex.org/I10660446"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13084963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coincidence","display_name":"Coincidence","score":0.7695818543434143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7379251718521118},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6998569369316101},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47739237546920776},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.457244873046875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14977607131004333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058459192514419556},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.038352131843566895}],"concepts":[{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.7695818543434143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7379251718521118},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6998569369316101},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47739237546920776},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.457244873046875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14977607131004333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058459192514419556},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.038352131843566895},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/270104","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/270104","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/270104.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495139","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495139","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:270104","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/270104.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:acc8d6056f0c45b0a74ded78f19ed4e7","is_oa":true,"landing_page_url":"https://doaj.org/article/acc8d6056f0c45b0a74ded78f19ed4e7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/270104","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/270104","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/270104.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2042768021","display_name":null,"funder_award_id":"11161025","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3190497152","display_name":null,"funder_award_id":"2001Z001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4375044911","display_name":null,"funder_award_id":"2011FZ058","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000744193.pdf","grobid_xml":"https://content.openalex.org/works/W2000744193.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W566195298","https://openalex.org/W587890827","https://openalex.org/W1964574336","https://openalex.org/W1970037453","https://openalex.org/W1976453184","https://openalex.org/W2003330914","https://openalex.org/W2005222192","https://openalex.org/W2005334331","https://openalex.org/W2010344250","https://openalex.org/W2013584962","https://openalex.org/W2017398922","https://openalex.org/W2025011014","https://openalex.org/W2026196657","https://openalex.org/W2042688653","https://openalex.org/W2058770581","https://openalex.org/W2062837004","https://openalex.org/W2066922128","https://openalex.org/W2083772346","https://openalex.org/W2085629730","https://openalex.org/W2093200155","https://openalex.org/W2093634758","https://openalex.org/W2168394909","https://openalex.org/W4213319432","https://openalex.org/W4214540269"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2138100553","https://openalex.org/W3033220593","https://openalex.org/W3029319512","https://openalex.org/W2007743448","https://openalex.org/W3098848373","https://openalex.org/W1990560562","https://openalex.org/W2070733898","https://openalex.org/W1911643999","https://openalex.org/W2052299887"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,29,47],"existence":[4,30],"of":[5,22,31,49],"positive":[6,32],"almost\u2010periodic":[7,10,33],"solutions":[8,34],"for":[9,28],"Lotka\u2010Volterra":[11],"cooperative":[12],"system":[13],"with":[14],"time":[15],"delay.":[16],"By":[17],"using":[18],"Mawhin\u2019s":[19],"continuation":[20],"theorem":[21],"coincidence":[23],"degree":[24],"theory,":[25],"sufficient":[26],"conditions":[27],"are":[35,43],"obtained.":[36],"An":[37],"example":[38],"and":[39],"its":[40],"simulation":[41],"figure":[42],"given":[44],"to":[45],"illustrate":[46],"effectiveness":[48],"our":[50],"results.":[51]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
