{"id":"https://openalex.org/W4409652745","doi":"https://doi.org/10.1142/s0218127425500889","title":"Allee Effect Dynamics and Lambert <i>W</i> Functions on a 2D \u03b3-Ricker Diffeomorphism","display_name":"Allee Effect Dynamics and Lambert <i>W</i> Functions on a 2D \u03b3-Ricker Diffeomorphism","publication_year":2025,"publication_date":"2025-04-21","ids":{"openalex":"https://openalex.org/W4409652745","doi":"https://doi.org/10.1142/s0218127425500889"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425500889","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500889","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/A5057211137","display_name":"J. Leonel Rocha","orcid":"https://orcid.org/0000-0001-8053-6822"},"institutions":[{"id":"https://openalex.org/I203847022","display_name":"Instituto Polit\u00e9cnico de Lisboa","ror":"https://ror.org/04ea70f07","country_code":"PT","type":"education","lineage":["https://openalex.org/I203847022"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"J. Leonel Rocha","raw_affiliation_strings":["CEAUL, ISEL-Engineering Superior Institute of Lisbon, Polytechnic Institute of Lisbon, Rua Conselheiro Em\u00eddio Navarro 1, 1959-007 Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"CEAUL, ISEL-Engineering Superior Institute of Lisbon, Polytechnic Institute of Lisbon, Rua Conselheiro Em\u00eddio Navarro 1, 1959-007 Lisboa, Portugal","institution_ids":["https://openalex.org/I203847022"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108406533","display_name":"Abdel-Kaddous Taha","orcid":"https://orcid.org/0000-0002-6468-3803"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 de Toulouse","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Abdel-Kaddous Taha","raw_affiliation_strings":["INSA, Universit\u00e9 de Toulouse, 135 Avenue de Rangueil, 31077 Toulouse, France"],"affiliations":[{"raw_affiliation_string":"INSA, Universit\u00e9 de Toulouse, 135 Avenue de Rangueil, 31077 Toulouse, France","institution_ids":["https://openalex.org/I17866349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031427355","display_name":"Dani\u00e8le Fournier-Prunaret","orcid":"https://orcid.org/0000-0003-0036-8932"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 de Toulouse","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Fournier-Prunaret","raw_affiliation_strings":["INSA, Universit\u00e9 de Toulouse, 135 Avenue de Rangueil, 31077 Toulouse, France"],"affiliations":[{"raw_affiliation_string":"INSA, Universit\u00e9 de Toulouse, 135 Avenue de Rangueil, 31077 Toulouse, France","institution_ids":["https://openalex.org/I17866349"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057211137"],"corresponding_institution_ids":["https://openalex.org/I203847022"],"apc_list":null,"apc_paid":null,"fwci":2.796,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.89801562,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"35","issue":"07","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9103000164031982,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/allee-effect","display_name":"Allee effect","score":0.8728110790252686},{"id":"https://openalex.org/keywords/lambert-w-function","display_name":"Lambert W function","score":0.7483760118484497},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.7240279912948608},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6636606454849243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6165891289710999},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3508091866970062},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3506278395652771},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33251953125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3042968213558197},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.15300840139389038},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.07917678356170654}],"concepts":[{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.8728110790252686},{"id":"https://openalex.org/C130924491","wikidata":"https://www.wikidata.org/wiki/Q429331","display_name":"Lambert W function","level":2,"score":0.7483760118484497},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7240279912948608},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6636606454849243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6165891289710999},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3508091866970062},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3506278395652771},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33251953125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3042968213558197},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.15300840139389038},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.07917678356170654},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/s0218127425500889","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500889","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":16,"referenced_works":["https://openalex.org/W1978163917","https://openalex.org/W1988409403","https://openalex.org/W2001736263","https://openalex.org/W2025829026","https://openalex.org/W2058410934","https://openalex.org/W2068728923","https://openalex.org/W2100891518","https://openalex.org/W2134848647","https://openalex.org/W2317365551","https://openalex.org/W2909075181","https://openalex.org/W2929444604","https://openalex.org/W3040459774","https://openalex.org/W3044473559","https://openalex.org/W3196609086","https://openalex.org/W4250146611","https://openalex.org/W4399528916"],"related_works":["https://openalex.org/W2735032095","https://openalex.org/W2107190886","https://openalex.org/W2187747741","https://openalex.org/W2774394389","https://openalex.org/W8757030","https://openalex.org/W2600193926","https://openalex.org/W2068425564","https://openalex.org/W2396018591","https://openalex.org/W2148180014","https://openalex.org/W4389599412"],"abstract_inverted_index":{"The":[0,148,162],"purpose":[1],"of":[2,14,28,61,64,84,87,101,105,125,132,140,143,157,159],"this":[3,37,62,79],"study":[4,68],"is":[5,112,120,129,151],"to":[6],"examine":[7],"the":[8,26,29,39,51,73,82,85,92,102,106,116,123,138,141,144,155,160],"nonlinear":[9],"dynamics":[10],"and":[11,91,122,167],"bifurcation":[12,103,119],"structures":[13,104],"a":[15,22,46,98],"2D":[16,107],"[Formula:":[17,33,108],"see":[18,34,109],"text]-Ricker":[19,110],"diffeomorphism,":[20,80],"with":[21,78,137],"particular":[23],"focus":[24],"on":[25,72],"variation":[27,83],"Allee":[30,94,117],"effect":[31,95,118],"parameter":[32],"text].":[35],"In":[36,114],"context,":[38],"Lambert":[40,74],"W":[41,75],"functions":[42,76],"are":[43,56,135,165],"employed":[44],"as":[45,58,154],"pivotal":[47],"instrument":[48],"for":[49],"identifying":[50],"nontrivial":[52,88],"fixed":[53,89],"points,":[54],"which":[55],"expressed":[57],"analytic":[59],"solutions":[60],"class":[63],"transcendental":[65],"functions.":[66],"This":[67],"establishes":[69],"certain":[70],"properties":[71],"associated":[77,136],"namely":[81],"number":[86],"points":[90],"respective":[93],"dynamics.":[96],"Furthermore,":[97],"detailed":[99],"examination":[100],"diffeomorphism":[111,145],"conducted.":[113],"particular,":[115],"defined":[121],"existence":[124],"an":[126],"extinction":[127,149],"region":[128,150],"explored.":[130],"Both":[131],"these":[133],"phenomena":[134],"stability":[139],"origin":[142],"under":[146],"analysis.":[147],"also":[152],"characterized":[153],"basin":[156],"attraction":[158],"origin.":[161],"theoretical":[163],"results":[164],"verified":[166],"illustrated":[168],"by":[169],"numerical":[170],"simulations.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-04-22T00:00:00"}
