{"id":"https://openalex.org/W4392558781","doi":"https://doi.org/10.1142/s0218127424500366","title":"Existence and Uniqueness of a Canard Cycle with Cyclicity at Most Two in a Singularly Perturbed Leslie\u2013Gower Predator\u2013Prey Model with Prey Harvesting","display_name":"Existence and Uniqueness of a Canard Cycle with Cyclicity at Most Two in a Singularly Perturbed Leslie\u2013Gower Predator\u2013Prey Model with Prey Harvesting","publication_year":2024,"publication_date":"2024-03-06","ids":{"openalex":"https://openalex.org/W4392558781","doi":"https://doi.org/10.1142/s0218127424500366"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424500366","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424500366","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/A5038541150","display_name":"Zhenshu Wen","orcid":"https://orcid.org/0000-0002-2083-6396"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenshu Wen","raw_affiliation_strings":["School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, P. R. China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052101688","display_name":"Tianyu Shi","orcid":"https://orcid.org/0009-0006-5274-1101"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyu Shi","raw_affiliation_strings":["School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, P. R. China","institution_ids":["https://openalex.org/I119045251"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038541150"],"corresponding_institution_ids":["https://openalex.org/I119045251"],"apc_list":null,"apc_paid":null,"fwci":3.7872,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92922538,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"34","issue":"03","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":0.9934999942779541,"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":0.9934999942779541,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9775000214576721,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9509999752044678,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.8039089441299438},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7396544218063354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6284819841384888},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.5802949070930481},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5546132326126099},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46715468168258667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4359617829322815},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3964802324771881},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2826380133628845},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.20532578229904175},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.20179006457328796},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.16791677474975586},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.16155999898910522},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0629347562789917}],"concepts":[{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.8039089441299438},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7396544218063354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6284819841384888},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.5802949070930481},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5546132326126099},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46715468168258667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4359617829322815},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3964802324771881},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2826380133628845},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.20532578229904175},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.20179006457328796},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.16791677474975586},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.16155999898910522},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0629347562789917},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127424500366","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424500366","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/G3346026621","display_name":null,"funder_award_id":"2021J01302","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G4926543424","display_name":null,"funder_award_id":"ZQN-802","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6199456687","display_name":null,"funder_award_id":"12071162","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2069773303","https://openalex.org/W2089995439","https://openalex.org/W2091146225","https://openalex.org/W2092525684","https://openalex.org/W2130344039","https://openalex.org/W2724389464","https://openalex.org/W2944012157","https://openalex.org/W3154013978","https://openalex.org/W4212894052","https://openalex.org/W4282593007","https://openalex.org/W4308014176"],"related_works":["https://openalex.org/W2168669462","https://openalex.org/W2067000585","https://openalex.org/W2192426841","https://openalex.org/W4323811225","https://openalex.org/W2164070575","https://openalex.org/W4311356582","https://openalex.org/W2289298756","https://openalex.org/W2073795128","https://openalex.org/W2143533297","https://openalex.org/W2075391697"],"abstract_inverted_index":{"Yao":[0],"and":[1],"Huzak":[2],"[2022]":[3],"proved":[4],"that":[5,36],"the":[6],"cyclicity":[7,44],"of":[8,28],"canard":[9,41],"cycles":[10],"in":[11,25],"a":[12,26],"singularly":[13],"perturbed":[14],"Leslie\u2013Gower":[15],"predator\u2013prey":[16],"model":[17],"with":[18,43],"prey":[19],"harvesting":[20],"is":[21],"at":[22,45],"most":[23,46],"two":[24,47],"region":[27],"parameters.":[29],"In":[30],"this":[31],"paper,":[32],"we":[33],"further":[34],"show":[35],"there":[37],"exists":[38],"only":[39],"one":[40],"cycle":[42],"under":[48],"explicit":[49],"parameters":[50],"conditions.":[51]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}
