{"id":"https://openalex.org/W2556730443","doi":"https://doi.org/10.1142/s0218127416502035","title":"Bifurcations in a Seasonally Forced Predator\u2013Prey Model with Generalized Holling Type IV Functional Response","display_name":"Bifurcations in a Seasonally Forced Predator\u2013Prey Model with Generalized Holling Type IV Functional Response","publication_year":2016,"publication_date":"2016-11-01","ids":{"openalex":"https://openalex.org/W2556730443","doi":"https://doi.org/10.1142/s0218127416502035","mag":"2556730443"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127416502035","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416502035","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"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/A5100445016","display_name":"Jingli Ren","orcid":"https://orcid.org/0000-0002-5392-291X"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jingli Ren","raw_affiliation_strings":["School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100406401","display_name":"Xueping Li","orcid":"https://orcid.org/0000-0003-1990-0159"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueping Li","raw_affiliation_strings":["School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China","institution_ids":["https://openalex.org/I38877650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100445016"],"corresponding_institution_ids":["https://openalex.org/I38877650"],"apc_list":null,"apc_paid":null,"fwci":2.1182,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89212227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"26","issue":"12","first_page":"1650203","last_page":"1650203"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9864000082015991,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.8334313631057739},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7574781179428101},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7260226607322693},{"id":"https://openalex.org/keywords/numerical-continuation","display_name":"Numerical continuation","score":0.6388852596282959},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.6064340472221375},{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.526991069316864},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.5257388353347778},{"id":"https://openalex.org/keywords/functional-response","display_name":"Functional response","score":0.5190539956092834},{"id":"https://openalex.org/keywords/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.5067468285560608},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.5007007122039795},{"id":"https://openalex.org/keywords/quasiperiodic-function","display_name":"Quasiperiodic function","score":0.48201170563697815},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.47009751200675964},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.43822306394577026},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.4176604151725769},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3948996663093567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36289578676223755},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.3100738525390625},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.1681230068206787},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16017156839370728},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13303232192993164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07325184345245361}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8334313631057739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7574781179428101},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7260226607322693},{"id":"https://openalex.org/C2775978667","wikidata":"https://www.wikidata.org/wiki/Q7069654","display_name":"Numerical continuation","level":4,"score":0.6388852596282959},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.6064340472221375},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.526991069316864},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5257388353347778},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.5190539956092834},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.5067468285560608},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.5007007122039795},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.48201170563697815},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.47009751200675964},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.43822306394577026},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.4176604151725769},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3948996663093567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36289578676223755},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.3100738525390625},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.1681230068206787},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16017156839370728},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13303232192993164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07325184345245361},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127416502035","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416502035","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6230273021","display_name":null,"funder_award_id":"11271339","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1966200641","https://openalex.org/W2010265353","https://openalex.org/W2013770951","https://openalex.org/W2027665073","https://openalex.org/W2043607789","https://openalex.org/W2045187205","https://openalex.org/W2047364899","https://openalex.org/W2059256529","https://openalex.org/W2086851860","https://openalex.org/W2095411870","https://openalex.org/W2100794528","https://openalex.org/W2110164995","https://openalex.org/W2131915744","https://openalex.org/W2161464354","https://openalex.org/W4205940222","https://openalex.org/W4206651839","https://openalex.org/W4235905878","https://openalex.org/W4236335910"],"related_works":["https://openalex.org/W2594684547","https://openalex.org/W2082657248","https://openalex.org/W865278496","https://openalex.org/W2356715721","https://openalex.org/W2021742636","https://openalex.org/W1594652328","https://openalex.org/W2546487931","https://openalex.org/W2092883264","https://openalex.org/W2110197045","https://openalex.org/W3040509139"],"abstract_inverted_index":{"A":[0],"seasonally":[1,76],"forced":[2,77],"predator\u2013prey":[3],"system":[4,24,69],"with":[5],"generalized":[6],"Holling":[7],"type":[8],"IV":[9],"functional":[10],"response":[11],"is":[12,25],"considered":[13],"in":[14,71],"this":[15],"paper.":[16],"The":[17,75],"influence":[18],"of":[19,36,44,50,57,66,94,110,129],"seasonal":[20],"forcing":[21],"on":[22],"the":[23,67,84],"investigated":[26],"via":[27],"numerical":[28],"bifurcation":[29,42,48,64,73],"analysis.":[30],"Bifurcation":[31],"diagrams":[32],"for":[33],"periodic":[34,92],"solutions":[35,93],"periods":[37],"one":[38,46],"and":[39,47,90,98,102,117],"two,":[40,52],"containing":[41],"curves":[43],"codimension":[45,51],"points":[49],"are":[53,122],"obtained":[54],"by":[55],"means":[56],"a":[58],"continuation":[59],"technique,":[60],"corresponding":[61,118],"to":[62,124],"different":[63,127],"cases":[65],"unforced":[68,85],"illustrated":[70],"five":[72],"diagrams.":[74],"model":[78],"exhibits":[79],"more":[80],"complex":[81],"dynamics":[82],"than":[83],"one,":[86],"such":[87],"as":[88],"stable":[89,97],"unstable":[91,99],"various":[95],"periods,":[96],"quasiperiodic":[100],"solutions,":[101],"chaotic":[103],"motions":[104],"through":[105],"torus":[106],"destruction":[107],"or":[108],"cascade":[109],"period":[111],"doublings.":[112],"Finally,":[113],"some":[114],"phase":[115],"portraits":[116,121],"Poincar\u00e9":[119],"map":[120],"given":[123],"illustrate":[125],"these":[126],"types":[128],"solutions.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2025-10-10T00:00:00"}