{"id":"https://openalex.org/W2997235550","doi":"https://doi.org/10.1142/s0218127419501931","title":"Complex Dynamics Due to Multiple Limit Cycle Bifurcations in a Tritrophic Food Chain Model","display_name":"Complex Dynamics Due to Multiple Limit Cycle Bifurcations in a Tritrophic Food Chain Model","publication_year":2019,"publication_date":"2019-12-26","ids":{"openalex":"https://openalex.org/W2997235550","doi":"https://doi.org/10.1142/s0218127419501931","mag":"2997235550"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419501931","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419501931","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/A5100369974","display_name":"Xiangyu Wang","orcid":"https://orcid.org/0000-0001-8718-6941"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xiangyu Wang","raw_affiliation_strings":["Department of Applied Mathematics, Western University, London, Ontario N6A5B7, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Western University, London, Ontario N6A5B7, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100652002","display_name":"Pei Yu","orcid":"https://orcid.org/0000-0002-8848-0584"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Pei Yu","raw_affiliation_strings":["Department of Applied Mathematics, Western University, London, Ontario N6A5B7, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Western University, London, Ontario N6A5B7, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100652002"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":null,"apc_paid":null,"fwci":0.2196,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64831729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"29","issue":"14","first_page":"1950193","last_page":"1950193"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9957000017166138,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.8060754537582397},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7553420662879944},{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.7287055253982544},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.6971421241760254},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6791549921035767},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.658123791217804},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6127012372016907},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.5232155323028564},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.5044797658920288},{"id":"https://openalex.org/keywords/infinite-period-bifurcation","display_name":"Infinite-period bifurcation","score":0.4379570782184601},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4349668025970459},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42806926369667053},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"Complex dynamics","score":0.4224027395248413},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2861647605895996},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22152382135391235},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19008290767669678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08863773941993713}],"concepts":[{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.8060754537582397},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7553420662879944},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.7287055253982544},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.6971421241760254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6791549921035767},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.658123791217804},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6127012372016907},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.5232155323028564},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5044797658920288},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.4379570782184601},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4349668025970459},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42806926369667053},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.4224027395248413},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2861647605895996},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22152382135391235},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19008290767669678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08863773941993713},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127419501931","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419501931","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/G7407874952","display_name":null,"funder_award_id":"R2686A2","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W589366791","https://openalex.org/W1561704653","https://openalex.org/W1564263151","https://openalex.org/W1734689372","https://openalex.org/W1827761481","https://openalex.org/W1967497177","https://openalex.org/W1988577532","https://openalex.org/W1998107461","https://openalex.org/W2009497399","https://openalex.org/W2009948646","https://openalex.org/W2022666585","https://openalex.org/W2025622260","https://openalex.org/W2055238138","https://openalex.org/W2056801025","https://openalex.org/W2057761253","https://openalex.org/W2081879691","https://openalex.org/W2089876099","https://openalex.org/W2092169790","https://openalex.org/W2096180748","https://openalex.org/W2097518385","https://openalex.org/W2284538598","https://openalex.org/W2340824690","https://openalex.org/W2464837953","https://openalex.org/W2474031850","https://openalex.org/W2553099219","https://openalex.org/W2562779659","https://openalex.org/W2796919817","https://openalex.org/W4293244147"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W4245057904","https://openalex.org/W3020506472","https://openalex.org/W4281733204","https://openalex.org/W2775656422","https://openalex.org/W2325048728","https://openalex.org/W4366091759","https://openalex.org/W56905705","https://openalex.org/W2025138898","https://openalex.org/W2369348556"],"abstract_inverted_index":{"In":[0,70],"this":[1],"paper,":[2],"we":[3],"consider":[4],"a":[5,40,92,97],"tritrophic":[6],"food":[7,51],"chain":[8],"model":[9],"with":[10],"Holling":[11],"functional":[12],"response":[13],"types":[14],"III":[15],"and":[16,21,32],"IV":[17],"for":[18],"the":[19,30,37,50,89],"predator":[20],"superpredator,":[22],"respectively.":[23],"The":[24],"main":[25],"attention":[26],"is":[27,47,58,75],"focused":[28],"on":[29],"stability":[31],"bifurcation":[33,57],"of":[34,44,91],"equilibria":[35],"when":[36],"prey":[38],"has":[39],"linear":[41],"growth.":[42],"Coexistence":[43],"different":[45],"species":[46],"shown":[48],"in":[49,88],"chain,":[52],"demonstrating":[53],"bistable":[54,99],"phenomenon.":[55],"Hopf":[56,93],"studied":[59],"to":[60,65,77],"show":[61],"complex":[62],"dynamics":[63],"due":[64],"multiple":[66],"limit":[67,81,105],"cycles":[68,82],"bifurcation.":[69],"particular,":[71],"normal":[72],"form":[73],"theory":[74],"applied":[76],"prove":[78],"that":[79],"three":[80],"can":[83],"bifurcate":[84],"from":[85],"an":[86],"equilibrium":[87],"vicinity":[90],"critical":[94],"point,":[95],"yielding":[96],"new":[98],"phenomenon":[100],"which":[101],"involves":[102],"two":[103],"stable":[104],"cycles.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
