{"id":"https://openalex.org/W4367315897","doi":"https://doi.org/10.1142/s0218127423500530","title":"The Effect of Dispersal Patterns on Hopf Bifurcations in a Delayed Single Population Model","display_name":"The Effect of Dispersal Patterns on Hopf Bifurcations in a Delayed Single Population Model","publication_year":2023,"publication_date":"2023-04-01","ids":{"openalex":"https://openalex.org/W4367315897","doi":"https://doi.org/10.1142/s0218127423500530"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127423500530","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500530","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/A5100320702","display_name":"Yuanyuan Zhang","orcid":"https://orcid.org/0009-0000-8822-2406"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Zhang","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101846774","display_name":"Dan Huang","orcid":"https://orcid.org/0000-0001-6468-4956"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I4210161462","display_name":"Heilongjiang Institute of Technology","ror":"https://ror.org/05x0m9n95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161462"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Huang","raw_affiliation_strings":["School of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, P. R. China","institution_ids":["https://openalex.org/I204983213","https://openalex.org/I4210161462"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100416658","display_name":"Shanshan Chen","orcid":"https://orcid.org/0000-0002-8094-9069"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shanshan Chen","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100416658"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07455509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"05","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":0.9998999834060669,"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":0.9998999834060669,"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":0.996999979019165,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9851999878883362,"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/biological-dispersal","display_name":"Biological dispersal","score":0.8904522657394409},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6736747026443481},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6638306975364685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5717763900756836},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5235007405281067},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.4749101400375366},{"id":"https://openalex.org/keywords/growth-rate","display_name":"Growth rate","score":0.47199466824531555},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3782119154930115},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2661893963813782},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.15897971391677856},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14678838849067688},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.11062461137771606},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08556020259857178},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06517544388771057}],"concepts":[{"id":"https://openalex.org/C47559259","wikidata":"https://www.wikidata.org/wiki/Q778143","display_name":"Biological dispersal","level":3,"score":0.8904522657394409},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6736747026443481},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6638306975364685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5717763900756836},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5235007405281067},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.4749101400375366},{"id":"https://openalex.org/C2778312390","wikidata":"https://www.wikidata.org/wiki/Q4139973","display_name":"Growth rate","level":2,"score":0.47199466824531555},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3782119154930115},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2661893963813782},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.15897971391677856},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14678838849067688},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.11062461137771606},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08556020259857178},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06517544388771057},{"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/s0218127423500530","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500530","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1605753492","https://openalex.org/W1851248039","https://openalex.org/W1964249251","https://openalex.org/W1968786866","https://openalex.org/W1983633846","https://openalex.org/W1985957702","https://openalex.org/W1987433172","https://openalex.org/W1992640600","https://openalex.org/W2008686523","https://openalex.org/W2011682798","https://openalex.org/W2014613110","https://openalex.org/W2021603944","https://openalex.org/W2024417170","https://openalex.org/W2034169243","https://openalex.org/W2035138334","https://openalex.org/W2044765403","https://openalex.org/W2044783965","https://openalex.org/W2073104540","https://openalex.org/W2077942552","https://openalex.org/W2079871064","https://openalex.org/W2092696532","https://openalex.org/W2137645751","https://openalex.org/W2140925829","https://openalex.org/W2308343200","https://openalex.org/W2313571818","https://openalex.org/W2519647573","https://openalex.org/W2592730361","https://openalex.org/W2914917836","https://openalex.org/W2925131376","https://openalex.org/W2950854491","https://openalex.org/W2954735796","https://openalex.org/W2982572225","https://openalex.org/W3006797834","https://openalex.org/W3012031032","https://openalex.org/W3023260492","https://openalex.org/W3119510848","https://openalex.org/W3123514997","https://openalex.org/W3123965476","https://openalex.org/W3136266432","https://openalex.org/W3150334259","https://openalex.org/W3172233806","https://openalex.org/W3193292301","https://openalex.org/W3200319405","https://openalex.org/W4200567664","https://openalex.org/W4238621785","https://openalex.org/W4245859883"],"related_works":["https://openalex.org/W4388363453","https://openalex.org/W1974204627","https://openalex.org/W2001207513","https://openalex.org/W2835754784","https://openalex.org/W4377164308","https://openalex.org/W1998440774","https://openalex.org/W3112881275","https://openalex.org/W2896271600","https://openalex.org/W2745540247","https://openalex.org/W1987513077"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"a":[5],"delayed":[6],"single":[7],"population":[8],"model":[9],"with":[10],"patch":[11],"structure,":[12],"and":[13,59],"investigate":[14],"Hopf":[15,47,64],"bifurcations":[16,48,65],"when":[17,49,66],"the":[18,22,26,44,50,54,61,67],"dispersal":[19,34,41,68],"rate":[20,28,56,69],"or":[21],"scaling":[23,51],"parameter":[24,52],"of":[25,33,46,53,63],"growth":[27,55],"is":[29,36,57,70],"small.":[30,71],"The":[31],"effect":[32],"patterns":[35,42],"analyzed.":[37],"We":[38],"show":[39],"that":[40],"affect":[43,60],"occurrence":[45],"small,":[58],"values":[62]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}