{"id":"https://openalex.org/W7125814051","doi":"https://doi.org/10.1016/j.cnsns.2026.109794","title":"Bifurcation and chaos in a discrete-time predator-prey system with strong Allee effect","display_name":"Bifurcation and chaos in a discrete-time predator-prey system with strong Allee effect","publication_year":2026,"publication_date":"2026-01-27","ids":{"openalex":"https://openalex.org/W7125814051","doi":"https://doi.org/10.1016/j.cnsns.2026.109794"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109794","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109794","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Communications in Nonlinear Science and Numerical Simulation","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/A5124001025","display_name":"Kunlun Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kunlun Huang","raw_affiliation_strings":["School of Mathematical Sciences, Beihang University, Beijing 100191, China"],"raw_orcid":"https://orcid.org/0000-0002-0314-3387","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, Beijing 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123924301","display_name":"Xintian Jia","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098369","display_name":"Institute of Disaster Prevention","ror":"https://ror.org/00pyv1r78","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210098369","https://openalex.org/I90149893"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xintian Jia","raw_affiliation_strings":["Basic Courses Department, Institute of Disaster Prevention, Langfang 065201, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basic Courses Department, Institute of Disaster Prevention, Langfang 065201, China","institution_ids":["https://openalex.org/I4210098369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124044676","display_name":"Yanqi Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanqi Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Beihang University, Beijing 100191, China"],"raw_orcid":"https://orcid.org/0000-0003-0452-3506","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, Beijing 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123979555","display_name":"Ya Li","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya Li","raw_affiliation_strings":["School of Mathematical Sciences, Beihang University, Beijing 100191, China"],"raw_orcid":"https://orcid.org/0000-0003-3689-0423","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, Beijing 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124024520","display_name":"Cuiping Li","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ya Li","raw_affiliation_strings":["School of Mathematical Sciences, Beihang University, Beijing 100191, China"],"raw_orcid":"https://orcid.org/0000-0003-3689-0423","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, Beijing 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cuiping Li","orcid":"https://orcid.org/0000-0002-2213-3467"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cuiping Li","raw_affiliation_strings":["School of Mathematical Sciences, Beihang University, Beijing 100191, China"],"raw_orcid":"https://orcid.org/0000-0002-2213-3467","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, Beijing 100191, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5124024520"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07989069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"158","issue":null,"first_page":"109794","last_page":"109794"},"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":0.9736999869346619,"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":0.9736999869346619,"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/T10244","display_name":"Chaos control and synchronization","score":0.008200000040233135,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.005900000222027302,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/allee-effect","display_name":"Allee effect","score":0.9886000156402588},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6341000199317932},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.607200026512146},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5443999767303467},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.517799973487854},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4510999917984009},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4293000102043152},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.41609999537467957},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.3781000077724457}],"concepts":[{"id":"https://openalex.org/C10958125","wikidata":"https://www.wikidata.org/wiki/Q2301505","display_name":"Allee effect","level":3,"score":0.9886000156402588},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6341000199317932},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.607200026512146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.599399983882904},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5443999767303467},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.517799973487854},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.45339998602867126},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4510999917984009},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4293000102043152},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.3781000077724457},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37380000948905945},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.34049999713897705},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.33640000224113464},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.3165999948978424},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.2978000044822693},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.29440000653266907},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2849999964237213},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.27709999680519104},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.27300000190734863},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.2705000042915344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26589998602867126},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.265500009059906},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.26249998807907104}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109794","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109794","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.4285854697227478,"display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G4276679459","display_name":null,"funder_award_id":"20250212","funder_id":"https://openalex.org/F4320335880","funder_display_name":"Fundamental Research Funds for Central Universities of the Central South University"},{"id":"https://openalex.org/G7603111149","display_name":null,"funder_award_id":"62227810","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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335880","display_name":"Fundamental Research Funds for Central Universities of the Central South University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1998724231","https://openalex.org/W2004840651","https://openalex.org/W2014804707","https://openalex.org/W2123739183","https://openalex.org/W2174392345","https://openalex.org/W2321390672","https://openalex.org/W2472348908","https://openalex.org/W2602286159","https://openalex.org/W2884174462","https://openalex.org/W2914979161","https://openalex.org/W2996465988","https://openalex.org/W4319987353","https://openalex.org/W4385319858","https://openalex.org/W4404684103"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2026-01-28T00:00:00"}
