{"id":"https://openalex.org/W2954861780","doi":"https://doi.org/10.1142/s0218127419500810","title":"Allee Effect in Prey versus Hunting Cooperation on Predator \u2014 Enhancement of Stable Coexistence","display_name":"Allee Effect in Prey versus Hunting Cooperation on Predator \u2014 Enhancement of Stable Coexistence","publication_year":2019,"publication_date":"2019-06-15","ids":{"openalex":"https://openalex.org/W2954861780","doi":"https://doi.org/10.1142/s0218127419500810","mag":"2954861780"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419500810","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500810","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/A5025077824","display_name":"Deeptajyoti Sen","orcid":"https://orcid.org/0000-0002-8431-9937"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Deeptajyoti Sen","raw_affiliation_strings":["Department of Mathematics and Statistics, IIT Kanpur, Kanpur, U.P. 208016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, IIT Kanpur, Kanpur, U.P. 208016, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074997300","display_name":"S. Ghorai","orcid":"https://orcid.org/0000-0001-7396-7034"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Ghorai","raw_affiliation_strings":["Department of Mathematics and Statistics, IIT Kanpur, Kanpur, U.P. 208016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, IIT Kanpur, Kanpur, U.P. 208016, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062102948","display_name":"Malay Banerjee","orcid":"https://orcid.org/0000-0003-4327-5904"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Malay Banerjee","raw_affiliation_strings":["Department of Mathematics and Statistics, IIT Kanpur, Kanpur, U.P. 208016, India"],"raw_orcid":"https://orcid.org/0000-0003-4327-5904","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, IIT Kanpur, Kanpur, U.P. 208016, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":null,"apc_paid":null,"fwci":4.731,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.94741391,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"29","issue":"06","first_page":"1950081","last_page":"1950081"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9980999827384949,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/allee-effect","display_name":"Allee effect","score":0.9848060011863708},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.7774237990379333},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.6187613010406494},{"id":"https://openalex.org/keywords/functional-response","display_name":"Functional response","score":0.5930206179618835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49446749687194824},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.48425766825675964},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.43129175901412964},{"id":"https://openalex.org/keywords/growth-rate","display_name":"Growth rate","score":0.41527557373046875},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.2927645146846771},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2330322563648224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22498145699501038},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.16076385974884033},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09225806593894958}],"concepts":[{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.9848060011863708},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.7774237990379333},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.6187613010406494},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.5930206179618835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49446749687194824},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.48425766825675964},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.43129175901412964},{"id":"https://openalex.org/C2778312390","wikidata":"https://www.wikidata.org/wiki/Q4139973","display_name":"Growth rate","level":2,"score":0.41527557373046875},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.2927645146846771},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2330322563648224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22498145699501038},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.16076385974884033},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09225806593894958},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/s0218127419500810","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500810","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/G2496177378","display_name":null,"funder_award_id":"427219","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W657833124","https://openalex.org/W1969027200","https://openalex.org/W1974792252","https://openalex.org/W1976102919","https://openalex.org/W1976373256","https://openalex.org/W1985255261","https://openalex.org/W1985292198","https://openalex.org/W1989024095","https://openalex.org/W1991644667","https://openalex.org/W2004671743","https://openalex.org/W2004840651","https://openalex.org/W2024777018","https://openalex.org/W2031147820","https://openalex.org/W2050082994","https://openalex.org/W2051819235","https://openalex.org/W2061879675","https://openalex.org/W2063516134","https://openalex.org/W2068687501","https://openalex.org/W2072254525","https://openalex.org/W2081642807","https://openalex.org/W2091159659","https://openalex.org/W2095278975","https://openalex.org/W2105939751","https://openalex.org/W2113839217","https://openalex.org/W2124959294","https://openalex.org/W2125897475","https://openalex.org/W2131915744","https://openalex.org/W2132246068","https://openalex.org/W2137291416","https://openalex.org/W2155050647","https://openalex.org/W2156165415","https://openalex.org/W2160386877","https://openalex.org/W2252696324","https://openalex.org/W2319701584","https://openalex.org/W2330099308","https://openalex.org/W2563217331","https://openalex.org/W2584708840","https://openalex.org/W3203680921","https://openalex.org/W4292994524","https://openalex.org/W4297938501","https://openalex.org/W4298084067","https://openalex.org/W4299993032"],"related_works":["https://openalex.org/W4390742005","https://openalex.org/W4233887507","https://openalex.org/W2954520391","https://openalex.org/W2061879675","https://openalex.org/W3160246123","https://openalex.org/W4309891670","https://openalex.org/W4226440615","https://openalex.org/W2084621533","https://openalex.org/W2894599943","https://openalex.org/W2766580717"],"abstract_inverted_index":{"Predator":[0],"foraging":[1],"facilitation":[2],"or":[3],"cooperative":[4],"hunting":[5],"increases":[6],"per":[7],"predator":[8,12,17,26,61],"consumption":[9],"rate":[10,80],"as":[11],"density":[13,27],"increases.":[14],"This":[15,30],"affects":[16],"extinction":[18],"in":[19,37,77,93,130],"a":[20,44,49,94,103],"prey\u2013predator":[21],"interaction":[22],"model":[23,47],"when":[24,106],"the":[25,82,85,98,107,131],"is":[28,31,69,91,102,110],"low.":[29],"an":[32],"indication":[33],"of":[34,84],"Allee":[35,72,75,114],"effect":[36,76],"predator\u2019s":[38],"growth":[39,68,79,109],"rate.":[40],"Here,":[41],"we":[42],"take":[43],"Gause":[45],"type":[46,51],"with":[48],"generalized":[50],"II":[52],"functional":[53],"response":[54],"which":[55],"depends":[56],"on":[57],"both":[58],"prey":[59],"and":[60,123],"densities.":[62],"We":[63],"also":[64,127],"assume":[65],"that":[66],"prey\u2019s":[67,78,108],"subjected":[70,111],"to":[71,112],"effect.":[73,115],"Strong":[74],"enhances":[81],"stability":[83],"coexisting":[86,99],"steady":[87,100],"state.":[88],"A":[89],"region":[90],"found":[92,129],"two-parameter":[95],"plane":[96],"where":[97],"state":[101],"global":[104],"attractor":[105],"weak":[113],"In":[116],"addition,":[117],"codimension":[118],"two":[119],"bifurcation":[120,132],"points":[121],"(cusp":[122],"Bogdanov\u2013Takens":[124],"points)":[125],"have":[126],"been":[128],"diagram.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":8}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
