{"id":"https://openalex.org/W4391103677","doi":"https://doi.org/10.1016/j.jde.2024.01.004","title":"Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting, II: Existence of two periodic solutions","display_name":"Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting, II: Existence of two periodic solutions","publication_year":2024,"publication_date":"2024-01-22","ids":{"openalex":"https://openalex.org/W4391103677","doi":"https://doi.org/10.1016/j.jde.2024.01.004"},"language":"en","primary_location":{"id":"doi:10.1016/j.jde.2024.01.004","doi":"https://doi.org/10.1016/j.jde.2024.01.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jde.2024.01.004","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","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/A5100357490","display_name":"Yunfeng Liu","orcid":"https://orcid.org/0000-0003-2826-5804","observed_orcids":["https://orcid.org/0000-0003-2826-5804"]},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunfeng Liu","raw_affiliation_strings":["Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056288565","display_name":"Xiaomei Feng","orcid":"https://orcid.org/0000-0001-7103-6682","observed_orcids":["https://orcid.org/0000-0001-7103-6682"]},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]},{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaomei Feng","raw_affiliation_strings":["College of Science, Xi'an University of Science and Technology, Xi'an, Shaanxi 710054, China"],"raw_orcid":"https://orcid.org/0000-0001-7103-6682","affiliations":[{"raw_affiliation_string":"College of Science, Xi'an University of Science and Technology, Xi'an, Shaanxi 710054, China","institution_ids":["https://openalex.org/I110440473","https://openalex.org/I51622183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091820514","display_name":"Shigui Ruan","orcid":"https://orcid.org/0000-0002-6348-8205","observed_orcids":["https://orcid.org/0000-0002-6348-8205"]},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shigui Ruan","raw_affiliation_strings":["Department of Mathematics, University of Miami, Goral Gables, FL 33146, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Miami, Goral Gables, FL 33146, USA","institution_ids":["https://openalex.org/I145608581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056600609","display_name":"Jianshe Yu","orcid":"https://orcid.org/0000-0002-7287-9726","observed_orcids":["https://orcid.org/0000-0002-7287-9726"]},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianshe Yu","raw_affiliation_strings":["Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510006, China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056288565"],"corresponding_institution_ids":["https://openalex.org/I110440473","https://openalex.org/I51622183"],"apc_list":{"value":3050,"currency":"USD","value_usd":3050},"apc_paid":null,"fwci":6.2416,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.96964849,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"388","issue":null,"first_page":"253","last_page":"285"},"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":0.9994999766349792,"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":0.9994999766349792,"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/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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/seasonal-harvesting","display_name":"seasonal harvesting","score":0.781000018119812},{"id":"https://openalex.org/keywords/periodic-solutions","display_name":"periodic solutions","score":0.7350000143051147},{"id":"https://openalex.org/keywords/bifurcation-of-periodic-solutions","display_name":"bifurcating periodic solutions","score":0.8209999799728394},{"id":"https://openalex.org/keywords/global-stability","display_name":"global stability","score":0.5170000195503235},{"id":"https://openalex.org/keywords/extinction-prevention","display_name":"extinction prevention","score":0.6819999814033508},{"id":"https://openalex.org/keywords/single-species-population-dynamics","display_name":"single-species population dynamics","score":0.7089999914169312}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7686114311218262},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.6100869178771973},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5853782296180725},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5467721819877625},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.5329288840293884},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47063255310058594},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4694608747959137},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.44969257712364197},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4410534203052521},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.4408724009990692},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43503010272979736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.382625937461853},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20237869024276733},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.16995769739151},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.111111581325531},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10801339149475098},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08442988991737366},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jde.2024.01.004","doi":"https://doi.org/10.1016/j.jde.2024.01.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jde.2024.01.004","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4667384307","display_name":null,"funder_award_id":"2022-176","funder_id":"https://openalex.org/F4320321884","funder_display_name":"Shanxi Scholarship Council of China"},{"id":"https://openalex.org/G5845415477","display_name":null,"funder_award_id":"202203021211115","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G7093702198","display_name":"\u65b0\u7586\u7ed3\u6838\u75c5\u8010\u836f\u53d1\u5c55\u673a\u5236\u7684\u52a8\u529b\u5b66\u5efa\u6a21\u4e0e\u5206\u6790","funder_award_id":"12061079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7761866816","display_name":"\u57fa\u56e0\u8868\u8fbe\u7684\u968f\u673a\u6027\u4e0e\u8c03\u63a7\u673a\u5236\u7814\u7a76\u53ca\u5e94\u7528","funder_award_id":"11631005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7986744460","display_name":null,"funder_award_id":"2023A1515011110","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321884","display_name":"Shanxi Scholarship Council of China","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1558736232","https://openalex.org/W1985342263","https://openalex.org/W1997400488","https://openalex.org/W1997691162","https://openalex.org/W2009401863","https://openalex.org/W2015834129","https://openalex.org/W2036458564","https://openalex.org/W2044740804","https://openalex.org/W2059291376","https://openalex.org/W2059552187","https://openalex.org/W2060586095","https://openalex.org/W2061110549","https://openalex.org/W2070439973","https://openalex.org/W2071543264","https://openalex.org/W2079833113","https://openalex.org/W2085166967","https://openalex.org/W2090062393","https://openalex.org/W2095411870","https://openalex.org/W2147807123","https://openalex.org/W2404617505","https://openalex.org/W2524554675","https://openalex.org/W2602074293","https://openalex.org/W2624508810","https://openalex.org/W2767876947","https://openalex.org/W2783408759","https://openalex.org/W2789806152","https://openalex.org/W3021619159","https://openalex.org/W3085991565","https://openalex.org/W3118938357","https://openalex.org/W3121558063","https://openalex.org/W4251367274","https://openalex.org/W4281254470","https://openalex.org/W4320477180","https://openalex.org/W4382011124"],"related_works":["https://openalex.org/W4320477180","https://openalex.org/W7148920382","https://openalex.org/W2524554675","https://openalex.org/W4389067918","https://openalex.org/W7126074975","https://openalex.org/W2095411870","https://openalex.org/W4402493688","https://openalex.org/W7154524590","https://openalex.org/W4416269599","https://openalex.org/W2066438266"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2}],"updated_date":"2026-10-22T09:42:04.148104","created_date":"2024-01-23T00:00:00"}
