{"id":"https://openalex.org/W4389620362","doi":"https://doi.org/10.1142/s0218127423501791","title":"Dynamical Analysis of a Predator\u2013Prey Model with Additive Allee Effect and Migration","display_name":"Dynamical Analysis of a Predator\u2013Prey Model with Additive Allee Effect and Migration","publication_year":2023,"publication_date":"2023-12-11","ids":{"openalex":"https://openalex.org/W4389620362","doi":"https://doi.org/10.1142/s0218127423501791"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127423501791","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423501791","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/A5102842193","display_name":"Xinhao Huang","orcid":"https://orcid.org/0009-0007-0133-0406"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinhao Huang","raw_affiliation_strings":["School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100437837","display_name":"Lijuan Chen","orcid":"https://orcid.org/0000-0001-7172-9462"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lijuan Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-7172-9462","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101003454","display_name":"Yue Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Xia","raw_affiliation_strings":["School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006827799","display_name":"Fengde Chen","orcid":"https://orcid.org/0000-0003-3617-5550"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengde Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. China","institution_ids":["https://openalex.org/I80947539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100437837"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":null,"apc_paid":null,"fwci":1.9431,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86581464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"33","issue":"15","first_page":null,"last_page":null},"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":0.996399998664856,"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":0.9962000250816345,"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/allee-effect","display_name":"Allee effect","score":0.9869887232780457},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6092783212661743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5702006816864014},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.5643796324729919},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.5264818668365479},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.5025956630706787},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.49607953429222107},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48664960265159607},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4821569323539734},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.43629223108291626},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4304159879684448},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37498605251312256},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3532521426677704},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3476828932762146},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3323400318622589},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.28091371059417725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24724620580673218},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.2457365095615387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16523852944374084},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15839582681655884},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.15406352281570435},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15319660305976868},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14133796095848083}],"concepts":[{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.9869887232780457},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6092783212661743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5702006816864014},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5643796324729919},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.5264818668365479},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.5025956630706787},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.49607953429222107},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48664960265159607},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4821569323539734},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.43629223108291626},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4304159879684448},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37498605251312256},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3532521426677704},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3476828932762146},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3323400318622589},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.28091371059417725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24724620580673218},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.2457365095615387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16523852944374084},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15839582681655884},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.15406352281570435},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15319660305976868},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14133796095848083},{"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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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":[{"id":"doi:10.1142/s0218127423501791","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423501791","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1603053247","https://openalex.org/W1972741408","https://openalex.org/W2079951185","https://openalex.org/W2506344596","https://openalex.org/W2599121596","https://openalex.org/W2639639281","https://openalex.org/W2912512962","https://openalex.org/W2922412282","https://openalex.org/W2963553805","https://openalex.org/W3003454395","https://openalex.org/W3014961848","https://openalex.org/W3139309237","https://openalex.org/W3146726878","https://openalex.org/W3159616062","https://openalex.org/W3203023438","https://openalex.org/W3210039120","https://openalex.org/W4206651839","https://openalex.org/W4220790842","https://openalex.org/W4224276310","https://openalex.org/W4281552090","https://openalex.org/W4281749177","https://openalex.org/W4282049560","https://openalex.org/W4292994524","https://openalex.org/W4308150500","https://openalex.org/W4312204786","https://openalex.org/W4320018390","https://openalex.org/W4360616123","https://openalex.org/W4362733937","https://openalex.org/W4366811010","https://openalex.org/W4380877398","https://openalex.org/W4382984460","https://openalex.org/W4384562795"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W2356715721","https://openalex.org/W2087757984","https://openalex.org/W2356226573","https://openalex.org/W4245057904","https://openalex.org/W3020506472","https://openalex.org/W2325048728","https://openalex.org/W56905705","https://openalex.org/W2159151868","https://openalex.org/W2067348621"],"abstract_inverted_index":{"In":[0,83],"this":[1],"paper,":[2],"a":[3],"predator\u2013prey":[4],"model":[5],"in":[6],"which":[7],"the":[8,11,16,25,66,75,78,86,91,97,104,107,114,117,134],"prey":[9,92,108],"has":[10,18],"additive":[12,28,67],"Allee":[13,29,68,87],"effect":[14,30,69,88],"and":[15,31,53,61,70,113],"predator":[17,118],"artificially":[19,32,71,98,125],"controlled":[20,33,72,99,126],"migration":[21,73,100,127],"is":[22,39,80,89,102],"proposed.":[23],"When":[24,96],"system":[26,42,79],"introduces":[27],"migration,":[34],"more":[35],"complicated":[36],"dynamical":[37],"behavior":[38],"obtained.":[40],"The":[41,63],"can":[43,128],"undergo":[44],"saddle-node":[45],"bifurcation,":[46,48,50],"transcritical":[47],"pitchfork":[49],"Hopf":[51],"bifurcation":[52],"Bogdanov\u2013Takens":[54],"bifurcation.":[55],"Two":[56],"limit":[57],"cycles":[58],"are":[59],"found":[60],"discussed.":[62],"influence":[64],"of":[65,77,106,116],"on":[74],"dynamics":[76],"also":[81],"presented.":[82],"detail,":[84],"when":[85],"large,":[90],"will":[93,110,119],"become":[94],"extinct.":[95],"rate":[101],"larger,":[103],"intensity":[105,115],"(pest)":[109],"be":[111,120,129],"smaller":[112],"larger.":[121],"This":[122],"indicates":[123],"that":[124],"effectively":[130],"used":[131],"to":[132],"control":[133],"pest.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
