{"id":"https://openalex.org/W1985158228","doi":"https://doi.org/10.1080/00036818808839785","title":"Nonuniqueness of limit cycles of gause-type predator-prey systems","display_name":"Nonuniqueness of limit cycles of gause-type predator-prey systems","publication_year":1988,"publication_date":"1988-01-01","ids":{"openalex":"https://openalex.org/W1985158228","doi":"https://doi.org/10.1080/00036818808839785","mag":"1985158228"},"language":"en","primary_location":{"id":"doi:10.1080/00036818808839785","doi":"https://doi.org/10.1080/00036818808839785","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00036818808839785","pdf_url":null,"source":{"id":"https://openalex.org/S68029218","display_name":"Applicable Analysis","issn_l":"0003-6811","issn":["0003-6811","1026-7360","1563-504X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Analysis","raw_type":"journal-article"},"volume":null,"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/A5090207401","display_name":"Yang Kuang","orcid":"https://orcid.org/0000-0003-2774-4133","observed_orcids":["https://orcid.org/0000-0003-2774-4133"]},"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":true,"raw_author_name":"Yang Kuang","raw_affiliation_strings":["Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada","University of Alberta"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"University of Alberta","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090207401"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":3.0646,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.90671307,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"29","issue":"3-4","first_page":"269","last_page":"287"},"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":0.9398999810218811,"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":0.9398999810218811,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.05950000137090683,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/limit-cycles","display_name":"limit cycles","score":0.777999997138977},{"id":"https://openalex.org/keywords/non-uniqueness","display_name":"non-uniqueness","score":0.8309999704360962},{"id":"https://openalex.org/keywords/lotka-volterra-model","display_name":"Lotka-Volterra model","score":0.9639999866485596},{"id":"https://openalex.org/keywords/predator-prey-dynamics","display_name":"predator-prey dynamics","score":0.6240000128746033},{"id":"https://openalex.org/keywords/multiple-limit-cycles","display_name":"multiple limit cycles","score":0.8159999847412109},{"id":"https://openalex.org/keywords/planar-differential-systems","display_name":"planar differential systems","score":0.45899999141693115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8570411801338196},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7315366268157959},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6937611103057861},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5958884954452515},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.5929306149482727},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4867401123046875},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.45574402809143066},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32492974400520325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2859707772731781},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23016932606697083},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.09212097525596619},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00036818808839785","doi":"https://doi.org/10.1080/00036818808839785","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00036818808839785","pdf_url":null,"source":{"id":"https://openalex.org/S68029218","display_name":"Applicable Analysis","issn_l":"0003-6811","issn":["0003-6811","1026-7360","1563-504X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life on land","score":0.5099999904632568}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W597049470","https://openalex.org/W1531715726","https://openalex.org/W1970961543","https://openalex.org/W1972487182","https://openalex.org/W1975326031","https://openalex.org/W1982653032","https://openalex.org/W1989971796","https://openalex.org/W2004908709","https://openalex.org/W2010135334","https://openalex.org/W2011067252","https://openalex.org/W2022893672","https://openalex.org/W2035695789","https://openalex.org/W2041263000","https://openalex.org/W2054732952","https://openalex.org/W2068958478","https://openalex.org/W2088694660","https://openalex.org/W2132996211","https://openalex.org/W2316904041","https://openalex.org/W4300911133"],"related_works":["https://openalex.org/W4388297534","https://openalex.org/W2051439117","https://openalex.org/W1673883441","https://openalex.org/W4298109871","https://openalex.org/W2313188567","https://openalex.org/W4248124207","https://openalex.org/W2083477739","https://openalex.org/W2087320822","https://openalex.org/W2089966216","https://openalex.org/W2017930464"],"abstract_inverted_index":{"By":[0],"comparison":[1],"with":[2,45],"the":[3,11],"Lotka-Volterra":[4],"system,":[5],"we":[6,23,30],"obtain":[7],"a":[8,17,32,43,46],"theorem":[9],"concerning":[10],"nonuniqueness":[12],"of":[13,16,42],"limit":[14,57],"cycles":[15],"Gause-type":[18],"predator-prey":[19],"system":[20,44],"The":[21],"method":[22],"develope":[24],"here":[25],"can":[26],"be":[27],"generalized.":[28],"Moreover,":[29],"disprove":[31],"conjecture":[33],"posed":[34],"by":[35,38],"H.I.":[36],"Freedman":[37],"constructing":[39],"an":[40],"example":[41],"strictly":[47],"concave":[48],"down":[49],"prey":[50],"isocline":[51],"which":[52],"has":[53],"at":[54],"least":[55],"three":[56],"cycles.":[58]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}