{"id":"https://openalex.org/W4378801853","doi":"https://doi.org/10.1137/22m1488466","title":"An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change","display_name":"An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4378801853","doi":"https://doi.org/10.1137/22m1488466"},"language":"en","primary_location":{"id":"doi:10.1137/22m1488466","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1488466","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5065620185","display_name":"Min L\u00fc","orcid":"https://orcid.org/0000-0002-1386-1315"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Lu","raw_affiliation_strings":["School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People\u2019s Republic of China","School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People\u2019s Republic of China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People's Republic of China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054826576","display_name":"Jicai Huang","orcid":"https://orcid.org/0000-0002-8910-5233"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jicai Huang","raw_affiliation_strings":["Corresponding author. School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-8910-5233","affiliations":[{"raw_affiliation_string":"Corresponding author. School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, Hubei 430079, People\u2019s Republic of China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066678888","display_name":"Hao Wang","orcid":"https://orcid.org/0000-0002-4132-6109"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hao Wang","raw_affiliation_strings":["Corresponding author. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4132-6109","affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.8254,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.97931896,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"22","issue":"2","first_page":"694","last_page":"729"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9965999722480774,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9957000017166138,"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/generalist-and-specialist-species","display_name":"Generalist and specialist species","score":0.7535573244094849},{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.6977953910827637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5396357774734497},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.5109833478927612},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46123480796813965},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.423176109790802},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3827950954437256},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3194679617881775},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.3016124963760376},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.253728985786438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24941012263298035},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.14503243565559387},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12024670839309692}],"concepts":[{"id":"https://openalex.org/C45371612","wikidata":"https://www.wikidata.org/wiki/Q3058587","display_name":"Generalist and specialist species","level":3,"score":0.7535573244094849},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.6977953910827637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5396357774734497},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.5109833478927612},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46123480796813965},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.423176109790802},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3827950954437256},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3194679617881775},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.3016124963760376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.253728985786438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24941012263298035},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.14503243565559387},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12024670839309692},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C185933670","wikidata":"https://www.wikidata.org/wiki/Q52105","display_name":"Habitat","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1488466","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1488466","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G2834956727","display_name":null,"funder_award_id":"11871235","funder_id":"https://openalex.org/F4320335595","funder_display_name":"National Natural Science Foundation of China-Yunnan Joint Fund"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320335595","display_name":"National Natural Science Foundation of China-Yunnan Joint Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W595524075","https://openalex.org/W1564263151","https://openalex.org/W1647458904","https://openalex.org/W1964719958","https://openalex.org/W1966200641","https://openalex.org/W1977100588","https://openalex.org/W1977187092","https://openalex.org/W1977415556","https://openalex.org/W1979971755","https://openalex.org/W2009451683","https://openalex.org/W2013677451","https://openalex.org/W2021377296","https://openalex.org/W2032048067","https://openalex.org/W2035870063","https://openalex.org/W2052125279","https://openalex.org/W2060852353","https://openalex.org/W2091384477","https://openalex.org/W2102892532","https://openalex.org/W2113034974","https://openalex.org/W2126084338","https://openalex.org/W2127018976","https://openalex.org/W2334229214","https://openalex.org/W2892348326","https://openalex.org/W2919605649","https://openalex.org/W2922412282","https://openalex.org/W2972719272","https://openalex.org/W2982403507","https://openalex.org/W3043804495","https://openalex.org/W3092631372","https://openalex.org/W3125116850","https://openalex.org/W3125363251","https://openalex.org/W3206879391","https://openalex.org/W4200594982","https://openalex.org/W4206126464","https://openalex.org/W4214501607","https://openalex.org/W4236990395","https://openalex.org/W4297918182"],"related_works":["https://openalex.org/W3135453479","https://openalex.org/W2306541987","https://openalex.org/W2947952289","https://openalex.org/W4322625948","https://openalex.org/W1986194836","https://openalex.org/W2896365120","https://openalex.org/W1986504168","https://openalex.org/W1861797342","https://openalex.org/W2095481932","https://openalex.org/W2040935629"],"abstract_inverted_index":{".In":[0],"this":[1],"paper,":[2],"we":[3,26,73,136],"take":[4],"the":[5,22,36,39,51,66,76,86,126,132,138,141,158,189],"Rosenzweig\u2013MacArthur":[6],"(RM)":[7],"model":[8,89],"with":[9,41,90],"generalist":[10,91,105],"predator":[11,92],"as":[12,116],"an":[13],"example":[14],"in":[15,33,58],"a":[16,28,59,80,121,148],"constant":[17],"or":[18,171,201,208],"changing":[19],"environment.":[20],"When":[21,131],"environment":[23,133],"is":[24,83,134],"fixed,":[25],"provide":[27],"more":[29],"easily":[30],"verifiable":[31],"classification,":[32],"terms":[34],"of":[35,38,55,79,98,129,140,147,185,215],"coefficients":[37],"system":[40],"nilpotent":[42,56,81,95],"linear":[43],"part":[44],"and":[45,53,69,85,113,119,144,160,173,179,195],"general":[46,60],"higher":[47],"terms,":[48],"to":[49],"determine":[50],"types":[52],"codimension":[54,78,99,216],"singularities":[57],"planar":[61],"system.":[62],"Second,":[63],"by":[64,188],"using":[65],"existing":[67],"classification":[68],"some":[70],"algebraic":[71],"methods,":[72],"show":[74],"that":[75,104],"highest":[77],"focus":[82,96,213],"4":[84],"sample":[87],"RM":[88],"can":[93,107,206],"exhibit":[94],"bifurcation":[97,214],"4.":[100],"Our":[101],"results":[102],"indicate":[103],"predation":[106],"cause":[108],"not":[109],"only":[110],"richer":[111],"bifurcations":[112],"dynamics":[114,162,187],"(such":[115],"multitype":[117],"tristability":[118],"quadristability,":[120],"figure-eight":[122],"loop)":[123],"but":[124],"also":[125],"possible":[127],"extirpation":[128],"prey.":[130],"changing,":[135],"study":[137],"impact":[139],"rate":[142],"\\(\\mu\\)":[143],"intensity":[145],"\\(\\beta\\)":[146,196],"nonlinear":[149],"environmental":[150,190,204,218],"change":[151,191,205],"on":[152,157,167],"dynamics.":[153],"The":[154],"key":[155],"observations":[156],"asymptotic":[159],"transient":[161,165,186],"include":[163],"(i)":[164],"tracking":[166],"unstable":[168],"steady":[169],"states":[170],"oscillations,":[172],"transient-related":[174],"regime":[175,181],"shifts;":[176,182],"(ii)":[177],"slow":[178,199],"fast":[180,202],"(iii)":[183],"regulation":[184],"parameters":[192],"\\(|\\mu":[193],"|\\)":[194],";":[197],"(iv)":[198],"negative":[200],"positive":[203],"delay":[207],"even":[209],"avoid":[210],"population":[211],"extirpation.Keywordsnilpotent":[212],"4nonlinear":[217],"changetransient":[219],"dynamicsregime":[220],"shiftsquadristabilityMSC":[221],"codes34C2334D0592Bxx":[222]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
