{"id":"https://openalex.org/W4414501461","doi":"https://doi.org/10.1063/5.0290164","title":"Hopf bifurcation of age structure predator-prey model with parental care in prey and B-D functional responses","display_name":"Hopf bifurcation of age structure predator-prey model with parental care in prey and B-D functional responses","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4414501461","doi":"https://doi.org/10.1063/5.0290164"},"language":"en","primary_location":{"id":"doi:10.1063/5.0290164","doi":"https://doi.org/10.1063/5.0290164","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0290164","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5093432492","display_name":"Dian Savitri","orcid":"https://orcid.org/0000-0002-8064-7191","observed_orcids":["https://orcid.org/0000-0002-8064-7191"]},"institutions":[{"id":"https://openalex.org/I23758234","display_name":"Universitas Negeri Surabaya","ror":"https://ror.org/01jf74q70","country_code":"ID","type":"education","lineage":["https://openalex.org/I23758234"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"Dian Savitri","raw_affiliation_strings":["Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia","institution_ids":["https://openalex.org/I23758234"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Abadi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I23758234","display_name":"Universitas Negeri Surabaya","ror":"https://ror.org/01jf74q70","country_code":"ID","type":"education","lineage":["https://openalex.org/I23758234"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Abadi","raw_affiliation_strings":["Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia","institution_ids":["https://openalex.org/I23758234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110603512","display_name":"Sunu Kuntjoro","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I23758234","display_name":"Universitas Negeri Surabaya","ror":"https://ror.org/01jf74q70","country_code":"ID","type":"education","lineage":["https://openalex.org/I23758234"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Sunu Kuntjoro","raw_affiliation_strings":["Biology Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biology Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia","institution_ids":["https://openalex.org/I23758234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114271372","display_name":"Mifta Kharisma Dewi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I23758234","display_name":"Universitas Negeri Surabaya","ror":"https://ror.org/01jf74q70","country_code":"ID","type":"education","lineage":["https://openalex.org/I23758234"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Mifta Kharisma Dewi","raw_affiliation_strings":["Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia","institution_ids":["https://openalex.org/I23758234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116091580","display_name":"An Nisa Salsabila","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I23758234","display_name":"Universitas Negeri Surabaya","ror":"https://ror.org/01jf74q70","country_code":"ID","type":"education","lineage":["https://openalex.org/I23758234"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"An Nisa Salsabila","raw_affiliation_strings":["Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia","institution_ids":["https://openalex.org/I23758234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5093432492"],"corresponding_institution_ids":["https://openalex.org/I23758234"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3316","issue":null,"first_page":"070001","last_page":"070001"},"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":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":1.0,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.972000002861023},{"id":"https://openalex.org/keywords/parental-care","display_name":"parental care","score":0.8230000138282776},{"id":"https://openalex.org/keywords/prey","display_name":"prey species","score":0.8069999814033508},{"id":"https://openalex.org/keywords/beddington-deangelis-functional-response","display_name":"Beddington-DeAngelis functional response","score":0.9710000157356262},{"id":"https://openalex.org/keywords/local-stability","display_name":"local stability","score":0.8019999861717224},{"id":"https://openalex.org/keywords/stability-of-equilibrium","display_name":"equilibrium stability","score":0.6899999976158142},{"id":"https://openalex.org/keywords/oscillatory-dynamics","display_name":"oscillatory dynamics","score":0.7459999918937683},{"id":"https://openalex.org/keywords/coexistence-equilibrium","display_name":"coexistence equilibrium","score":0.7689999938011169}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6901999711990356},{"id":"https://openalex.org/C3018663394","wikidata":"https://www.wikidata.org/wiki/Q329823","display_name":"Age structure","level":3,"score":0.6183000206947327},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5637000203132629},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.5157999992370605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4975000023841858},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.3695000112056732},{"id":"https://openalex.org/C111507845","wikidata":"https://www.wikidata.org/wiki/Q17074181","display_name":"Paternal care","level":4,"score":0.36419999599456787},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3246000111103058},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.3224000036716461},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.2842999994754791},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.27619999647140503},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2743000090122223}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/5.0290164","doi":"https://doi.org/10.1063/5.0290164","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0290164","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1966619128","https://openalex.org/W1974851988","https://openalex.org/W1975550388","https://openalex.org/W1984955994","https://openalex.org/W1986023394","https://openalex.org/W1991644667","https://openalex.org/W1993936709","https://openalex.org/W1997297480","https://openalex.org/W2004191665","https://openalex.org/W2008631606","https://openalex.org/W2009777353","https://openalex.org/W2014352588","https://openalex.org/W2022306040","https://openalex.org/W2023831231","https://openalex.org/W2032647616","https://openalex.org/W2033248503","https://openalex.org/W2050588898","https://openalex.org/W2054549295","https://openalex.org/W2059711752","https://openalex.org/W2060796013","https://openalex.org/W2070070988","https://openalex.org/W2088333081","https://openalex.org/W2089357070","https://openalex.org/W2090670890","https://openalex.org/W2113411010","https://openalex.org/W2131915744","https://openalex.org/W2308473015","https://openalex.org/W2321471475","https://openalex.org/W2331625639","https://openalex.org/W2552558112","https://openalex.org/W2588275666","https://openalex.org/W2606081917","https://openalex.org/W2617704217","https://openalex.org/W2619998782","https://openalex.org/W2736014075","https://openalex.org/W2757916626","https://openalex.org/W2779404005","https://openalex.org/W4226204027"],"related_works":["https://openalex.org/W1877831143","https://openalex.org/W3042373052","https://openalex.org/W2767985154","https://openalex.org/W4285154513","https://openalex.org/W2943411324","https://openalex.org/W4323926391","https://openalex.org/W4206283280","https://openalex.org/W2939686142","https://openalex.org/W4382249060","https://openalex.org/W3166475372"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,19,23,26,39,57,73,76,86,94,104,110,122,125],"stability":[4,21],"of":[5,22,56,70,75,124,130],"an":[6],"age":[7],"structure":[8],"predator-prey":[9],"model":[10,24],"with":[11,45],"parental":[12],"care":[13],"for":[14],"prey.":[15],"Firstly,":[16],"we":[17,53,65],"investigate":[18,60],"local":[20],"around":[25],"equilibria":[27,96,112],"point.":[28,97],"There":[29],"is":[30,35,81,101],"one":[31,55],"equilibrium":[32,41],"condition":[33],"that":[34,48,85],"always":[36],"unstable,":[37],"and":[38,90,109,121,142],"other":[40],"points":[42,137],"are":[43],"stable":[44,89],"certain":[46],"conditions":[47],"have":[49],"been":[50],"proven.":[51],"Secondly,":[52],"choose":[54],"parameters":[58],"to":[59],"several":[61],"dynamical":[62],"behaviors.":[63],"Finally,":[64],"observe":[66],"numerically":[67],"a":[68],"point":[69,113],"bifurcation":[71,120,136],"as":[72],"value":[74],"saturation":[77],"maximum":[78],"parameter":[79],"(\ud835\udc58)":[80],"varied,":[82],"which":[83],"indicates":[84],"change":[87],"remains":[88],"becomes":[91],"unstable":[92],"at":[93,138],"interior":[95],"Initially,":[98],"when":[99],"\ud835\udc58":[100,139,143],"small,":[102],"all":[103],"populations":[105],"will":[106,114],"be":[107,115],"balanced,":[108],"coexisting":[111],"stable.":[116],"We":[117],"observed":[118],"Hopf":[119,135],"emergence":[123],"bubbling":[126],"effect":[127],"phenomenon":[128],"vanishing":[129],"oscillatory":[131],"behavior":[132],"through":[133],"two":[134],"=":[140,144],"11.93192":[141],"72.924663.":[145]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2025-10-10T00:00:00"}