{"id":"https://openalex.org/W4413812189","doi":"https://doi.org/10.1142/s0218127425501548","title":"Hopf Bifurcation Analysis of a Two-Delayed Diffusive Predator\u2013Prey Model with Spatial Memory of Prey and Delay-Dependent Parameters","display_name":"Hopf Bifurcation Analysis of a Two-Delayed Diffusive Predator\u2013Prey Model with Spatial Memory of Prey and Delay-Dependent Parameters","publication_year":2025,"publication_date":"2025-08-29","ids":{"openalex":"https://openalex.org/W4413812189","doi":"https://doi.org/10.1142/s0218127425501548"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425501548","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425501548","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/A5044195371","display_name":"Hongyan Wang","orcid":"https://orcid.org/0009-0004-5597-8740"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongyan Wang","raw_affiliation_strings":["Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P.\u00a0R.\u00a0China","Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"],"raw_orcid":"https://orcid.org/0009-0004-5597-8740","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I10660446","https://openalex.org/I146071755"]},{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China","institution_ids":["https://openalex.org/I10660446","https://openalex.org/I146071755"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011150851","display_name":"Yunxian Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunxian Dai","raw_affiliation_strings":["Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P.\u00a0R.\u00a0China","Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-0206-816X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I10660446","https://openalex.org/I146071755"]},{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China","institution_ids":["https://openalex.org/I10660446","https://openalex.org/I146071755"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102164943","display_name":"Shumin Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shumin Zhou","raw_affiliation_strings":["Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P.\u00a0R.\u00a0China","Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"],"raw_orcid":"https://orcid.org/0009-0001-0398-2025","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I10660446","https://openalex.org/I146071755"]},{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China","institution_ids":["https://openalex.org/I10660446","https://openalex.org/I146071755"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28229687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"13","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":0.9983999729156494,"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":0.9983999729156494,"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":0.9897000193595886,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9286999702453613,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.8230313062667847},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7685286998748779},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.5374593734741211},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.49184441566467285},{"id":"https://openalex.org/keywords/functional-response","display_name":"Functional response","score":0.48300039768218994},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4518921673297882},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43241891264915466},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.41144341230392456},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3248387575149536},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.26841282844543457},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22989919781684875},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.22411251068115234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18851754069328308},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13423803448677063},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09163674712181091}],"concepts":[{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.8230313062667847},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7685286998748779},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.5374593734741211},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.49184441566467285},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.48300039768218994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4518921673297882},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43241891264915466},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.41144341230392456},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3248387575149536},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.26841282844543457},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22989919781684875},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.22411251068115234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18851754069328308},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13423803448677063},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09163674712181091},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127425501548","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425501548","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/G1875477287","display_name":"\u5bf9\u79f0\u65f6\u6ede\u5fae\u5206\u65b9\u7a0b\u5206\u652f\u5468\u671f\u89e3\u53ca\u79e9\u4e00\u6df7\u6c8c\u7814\u7a76","funder_award_id":"11761040","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1822833310","https://openalex.org/W2027665073","https://openalex.org/W2074178424","https://openalex.org/W2158630456","https://openalex.org/W2787544901","https://openalex.org/W2900959448","https://openalex.org/W2943949501","https://openalex.org/W3005306433","https://openalex.org/W3158686186","https://openalex.org/W3193961042","https://openalex.org/W3195414673","https://openalex.org/W3200064787","https://openalex.org/W4210492522","https://openalex.org/W4307936351","https://openalex.org/W4312204786","https://openalex.org/W4317206788","https://openalex.org/W4320891058","https://openalex.org/W4323926391","https://openalex.org/W4327709663","https://openalex.org/W4328053160","https://openalex.org/W4366607294","https://openalex.org/W4366780230","https://openalex.org/W4381949709","https://openalex.org/W4385603514","https://openalex.org/W4386088845","https://openalex.org/W4386204127","https://openalex.org/W4386314075","https://openalex.org/W4386508291","https://openalex.org/W4388348841","https://openalex.org/W4388655616","https://openalex.org/W4390742005","https://openalex.org/W4390937048","https://openalex.org/W4391305016"],"related_works":["https://openalex.org/W4233887507","https://openalex.org/W2061879675","https://openalex.org/W2077303587","https://openalex.org/W2059261737","https://openalex.org/W2054969521","https://openalex.org/W3033051025","https://openalex.org/W4394132289","https://openalex.org/W3194003107","https://openalex.org/W2039016328","https://openalex.org/W2796513049"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,48,121],"consider":[4],"the":[5,29,33,37,44,50,55,65,78,88,101,106,112,117,123,131,136,149],"memory":[6,132],"delay":[7,23,63,133],"of":[8,19,24,32,36,52,57,71,77,90,126,138],"prey":[9,20],"and":[10,21,82],"construct":[11],"a":[12,97],"diffusive":[13],"predator\u2013prey":[14],"model":[15,38,45,79,95],"with":[16,46,80],"memory-based":[17],"diffusion":[18],"gestation":[22,62],"predator.":[25],"Sufficient":[26],"conditions":[27],"for":[28],"local":[30],"stability":[31,91,113],"positive":[34],"equilibrium":[35],"without":[39],"delays":[40,73,81,103],"are":[41,145],"given.":[42],"For":[43],"delays,":[47],"discuss":[49],"existence":[51],"bifurcation":[53,66,99,128],"in":[54],"case":[56],"no":[58],"diffusions":[59,83],"by":[60,86,111,130],"taking":[61],"as":[64,109],"parameter.":[67],"The":[68,94],"joint":[69],"effect":[70],"two":[72,102],"on":[74],"spatiotemporal":[75],"dynamics":[76],"is":[84],"analyzed":[85],"applying":[87],"method":[89],"switching":[92,114],"curves.":[93],"experiences":[96],"Hopf":[98,127,139],"when":[100],"transition":[104],"from":[105],"stable":[107],"region,":[108],"defined":[110],"curves,":[115],"to":[116,134,147],"unstable":[118],"region.":[119],"Further,":[120],"calculate":[122],"normal":[124],"form":[125],"induced":[129],"determine":[135],"properties":[137],"bifurcation.":[140],"Finally,":[141],"several":[142],"numerical":[143],"simulations":[144],"performed":[146],"illustrate":[148],"theoretical":[150],"results.":[151]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}