{"id":"https://openalex.org/W4407742121","doi":"https://doi.org/10.1142/s0218127425500385","title":"Spatial Dynamics in a Diffusive Ivlev-Type Predator\u2013Prey Model with Quadratic Mortality","display_name":"Spatial Dynamics in a Diffusive Ivlev-Type Predator\u2013Prey Model with Quadratic Mortality","publication_year":2025,"publication_date":"2025-02-19","ids":{"openalex":"https://openalex.org/W4407742121","doi":"https://doi.org/10.1142/s0218127425500385"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425500385","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500385","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/A5059236296","display_name":"Jianglong Xiao","orcid":"https://orcid.org/0009-0003-8210-4742"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianglong Xiao","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"],"raw_orcid":"https://orcid.org/0009-0003-8210-4742","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026187828","display_name":"Yongli Song","orcid":"https://orcid.org/0000-0002-2209-2458"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongli Song","raw_affiliation_strings":["Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2209-2458","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, P. R. China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010932652","display_name":"Yonghui Xia","orcid":"https://orcid.org/0000-0001-8918-3509"},"institutions":[{"id":"https://openalex.org/I14894300","display_name":"Foshan University","ror":"https://ror.org/02xvvvp28","country_code":"CN","type":"education","lineage":["https://openalex.org/I14894300"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yonghui Xia","raw_affiliation_strings":["School of Mathematics, Foshan University, Foshan 528000, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-8918-3509","affiliations":[{"raw_affiliation_string":"School of Mathematics, Foshan University, Foshan 528000, P. R. China","institution_ids":["https://openalex.org/I14894300"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086628608","display_name":"Tonghua Zhang","orcid":"https://orcid.org/0000-0003-0510-1428"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tonghua Zhang","raw_affiliation_strings":["Department of Mathematics, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia"],"raw_orcid":"https://orcid.org/0000-0003-0510-1428","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia","institution_ids":["https://openalex.org/I57093077"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3895,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77500249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"35","issue":"04","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":0.9973999857902527,"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":0.9973999857902527,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.977400004863739,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9728000164031982,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.7447602152824402},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6308366060256958},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.6238057613372803},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6141499280929565},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5462034940719604},{"id":"https://openalex.org/keywords/functional-response","display_name":"Functional response","score":0.5145996809005737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47763124108314514},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.436681866645813},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41998594999313354},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4127853512763977},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.35882818698883057},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3512267470359802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2738301753997803},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2426598072052002},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.22587385773658752},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2035408318042755},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20306026935577393},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.13974440097808838},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11428561806678772}],"concepts":[{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.7447602152824402},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6308366060256958},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.6238057613372803},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6141499280929565},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5462034940719604},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.5145996809005737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47763124108314514},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.436681866645813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41998594999313354},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4127853512763977},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.35882818698883057},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3512267470359802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2738301753997803},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2426598072052002},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.22587385773658752},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2035408318042755},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20306026935577393},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.13974440097808838},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11428561806678772},{"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/s0218127425500385","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500385","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/G251914666","display_name":"\u5fae\u5206\u65b9\u7a0b\u5b9a\u6027\u7406\u8bba\u4e0e\u5206\u652f\u95ee\u9898\u7814\u7a76","funder_award_id":"11931016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2810153634","display_name":null,"funder_award_id":"LZ24A010006","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G5329064785","display_name":null,"funder_award_id":"LZ23A010001","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1968528210","https://openalex.org/W1970284561","https://openalex.org/W1971371816","https://openalex.org/W1996776961","https://openalex.org/W2006121249","https://openalex.org/W2013065054","https://openalex.org/W2015422029","https://openalex.org/W2015751185","https://openalex.org/W2021850768","https://openalex.org/W2038105662","https://openalex.org/W2058681175","https://openalex.org/W2066496593","https://openalex.org/W2069994241","https://openalex.org/W2086222060","https://openalex.org/W2167829186","https://openalex.org/W2175046506","https://openalex.org/W2221371626","https://openalex.org/W2684578716","https://openalex.org/W2782437027","https://openalex.org/W2789989338","https://openalex.org/W2801141183","https://openalex.org/W2941621557","https://openalex.org/W2942232661","https://openalex.org/W2943949501","https://openalex.org/W2945600406","https://openalex.org/W2964264740","https://openalex.org/W2989866992","https://openalex.org/W2991514403","https://openalex.org/W3003964932","https://openalex.org/W3043892386","https://openalex.org/W3195414673","https://openalex.org/W4226454798","https://openalex.org/W4236990395","https://openalex.org/W4280528547","https://openalex.org/W4280647181","https://openalex.org/W4292994524","https://openalex.org/W4311767461"],"related_works":["https://openalex.org/W2168669462","https://openalex.org/W4233887507","https://openalex.org/W2061879675","https://openalex.org/W2192426841","https://openalex.org/W2067000585","https://openalex.org/W4323811225","https://openalex.org/W2164070575","https://openalex.org/W4311356582","https://openalex.org/W2163677464","https://openalex.org/W2103498027"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,24,42,59],"spatial":[4],"dynamics":[5],"in":[6],"a":[7],"diffusive":[8],"model":[9],"with":[10],"Ivlev-type":[11],"functional":[12],"response":[13],"and":[14,20,34,55,62],"quadratic":[15],"mortality.":[16],"Turing":[17],"instability,":[18],"steady-state":[19,33],"Hopf":[21,35],"bifurcations":[22],"of":[23],"system":[25],"are":[26,37,48],"studied.":[27],"The":[28],"normal":[29,43],"forms":[30],"related":[31],"to":[32,50],"bifurcation":[36],"detailedly":[38],"deduced":[39],"by":[40],"employing":[41],"form":[44],"theory.":[45],"Numerical":[46],"simulations":[47],"applied":[49],"further":[51],"explain":[52],"our":[53],"analysis":[54],"intuitively":[56],"exhibit":[57],"where":[58],"periodic":[60],"solutions":[61],"steady":[63],"states":[64],"arise.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
