{"id":"https://openalex.org/W2070318881","doi":"https://doi.org/10.1007/s00332-010-9091-9","title":"Hopf Bifurcation for a Maturity Structured Population Dynamic Model","display_name":"Hopf Bifurcation for a Maturity Structured Population Dynamic Model","publication_year":2011,"publication_date":"2011-02-07","ids":{"openalex":"https://openalex.org/W2070318881","doi":"https://doi.org/10.1007/s00332-010-9091-9","mag":"2070318881"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-010-9091-9","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103845002","display_name":"Jixun Chu","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jixun Chu","raw_affiliation_strings":["BEIJING NORMAL UNIVERSITY"],"affiliations":[{"raw_affiliation_string":"BEIJING NORMAL UNIVERSITY","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035929676","display_name":"Pierre Magal","orcid":"https://orcid.org/0000-0002-4776-0061"},"institutions":[{"id":"https://openalex.org/I3132554261","display_name":"Galen University","ror":"https://ror.org/00vnste75","country_code":"BZ","type":"education","lineage":["https://openalex.org/I3132554261"]},{"id":"https://openalex.org/I3018882396","display_name":"Victor (Japan)","ror":"https://ror.org/04b0q3m21","country_code":"JP","type":"company","lineage":["https://openalex.org/I3018882396"]}],"countries":["BZ","JP"],"is_corresponding":false,"raw_author_name":"Pierre Magal","raw_affiliation_strings":["Universit\u00e9 Victor Segalen Bordeaux 2"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Victor Segalen Bordeaux 2","institution_ids":["https://openalex.org/I3132554261","https://openalex.org/I3018882396"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100730141","display_name":"Rong Yuan","orcid":"https://orcid.org/0000-0002-6824-3055"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Yuan","raw_affiliation_strings":["BEIJING NORMAL UNIVERSITY"],"affiliations":[{"raw_affiliation_string":"BEIJING NORMAL UNIVERSITY","institution_ids":["https://openalex.org/I25254941"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890,"provenance":"doaj"},"apc_paid":null,"fwci":0.322,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.760033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":81,"max":82},"biblio":{"volume":"21","issue":"4","first_page":"521","last_page":"562"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9999,"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":0.9999,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9943,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9883,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/population-model","display_name":"Population model","score":0.68368596},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.47943467},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.45062405}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.83106995},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.68368596},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6450009},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.61584646},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.539518},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.52556026},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.49496406},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.47943467},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.46671292},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.457759},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.45062405},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.44475293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41860965},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3959003},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.37258145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-010-9091-9","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":61,"referenced_works":["https://openalex.org/W1519611344","https://openalex.org/W1542865006","https://openalex.org/W1543562729","https://openalex.org/W1545383257","https://openalex.org/W1606157354","https://openalex.org/W16559667","https://openalex.org/W1862037849","https://openalex.org/W1963631430","https://openalex.org/W1969501258","https://openalex.org/W1973004975","https://openalex.org/W1973114577","https://openalex.org/W1983431812","https://openalex.org/W1984507032","https://openalex.org/W1986547883","https://openalex.org/W1987758916","https://openalex.org/W1988232585","https://openalex.org/W1992077739","https://openalex.org/W1994800451","https://openalex.org/W1996741937","https://openalex.org/W2004293327","https://openalex.org/W2009817621","https://openalex.org/W2010017500","https://openalex.org/W2011163777","https://openalex.org/W2012058749","https://openalex.org/W2015908665","https://openalex.org/W2016907540","https://openalex.org/W2026388026","https://openalex.org/W2030433270","https://openalex.org/W2037205890","https://openalex.org/W2048740639","https://openalex.org/W2050701451","https://openalex.org/W2058760931","https://openalex.org/W2063293649","https://openalex.org/W2063491472","https://openalex.org/W2071060299","https://openalex.org/W2071831172","https://openalex.org/W2074500234","https://openalex.org/W2080243363","https://openalex.org/W2083321256","https://openalex.org/W2098689898","https://openalex.org/W2100891518","https://openalex.org/W2110891892","https://openalex.org/W2114513740","https://openalex.org/W2119631463","https://openalex.org/W2120062314","https://openalex.org/W2122324131","https://openalex.org/W2124406635","https://openalex.org/W2126968938","https://openalex.org/W2129129358","https://openalex.org/W2167006711","https://openalex.org/W2244084445","https://openalex.org/W2431806563","https://openalex.org/W2479336790","https://openalex.org/W2556820110","https://openalex.org/W2592473381","https://openalex.org/W349804477","https://openalex.org/W4210624827","https://openalex.org/W4295287519","https://openalex.org/W4300374450","https://openalex.org/W432955989","https://openalex.org/W616785923"],"related_works":["https://openalex.org/W56905705","https://openalex.org/W3042510364","https://openalex.org/W2923981205","https://openalex.org/W2775656422","https://openalex.org/W2546487931","https://openalex.org/W2387129305","https://openalex.org/W2356715721","https://openalex.org/W2053691198","https://openalex.org/W2024878967","https://openalex.org/W1968678806"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2070318881","counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-13T19:51:57.649470","created_date":"2016-06-24"}