{"id":"https://openalex.org/W3122990624","doi":"https://doi.org/10.7566/jpsj.90.023801","title":"Mathematical Analysis of Epidemic Disease Models and Application to COVID-19","display_name":"Mathematical Analysis of Epidemic Disease Models and Application to COVID-19","publication_year":2021,"publication_date":"2021-01-22","ids":{"openalex":"https://openalex.org/W3122990624","doi":"https://doi.org/10.7566/jpsj.90.023801","mag":"3122990624"},"language":"en","primary_location":{"id":"doi:10.7566/jpsj.90.023801","doi":"https://doi.org/10.7566/jpsj.90.023801","is_oa":false,"landing_page_url":"https://doi.org/10.7566/jpsj.90.023801","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","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/A5049106586","display_name":"Takeo Fujiwara","orcid":"https://orcid.org/0000-0002-1074-3954","observed_orcids":["https://orcid.org/0000-0002-1074-3954"]},"institutions":[{"id":"https://openalex.org/I4405287486","display_name":"Mathematics and Informatics Center, The University of Tokyo","ror":"https://ror.org/059sepc04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4405287486","https://openalex.org/I74801974"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takeo Fujiwara","raw_affiliation_strings":["Mathematics and Informatics Center and Graduate School of Mathematical Sciences, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Informatics Center and Graduate School of Mathematical Sciences, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan","institution_ids":["https://openalex.org/I4405287486","https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049106586"],"corresponding_institution_ids":["https://openalex.org/I4405287486","https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.2174,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50248987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"90","issue":"2","first_page":"023801","last_page":"023801"},"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":0.9839000105857849,"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":0.9839000105857849,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.015699999406933784,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sir-model","display_name":"SIR model","score":0.8270000219345093},{"id":"https://openalex.org/keywords/covid-19","display_name":"COVID-19 pandemic","score":0.8450000286102295},{"id":"https://openalex.org/keywords/epidemic-modeling","display_name":"epidemic modeling","score":0.6959999799728394},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.9729999899864197},{"id":"https://openalex.org/keywords/oscillatory-motion","display_name":"oscillatory motion","score":0.8759999871253967},{"id":"https://openalex.org/keywords/stability-of-equilibrium","display_name":"equilibrium stability","score":0.7630000114440918},{"id":"https://openalex.org/keywords/contact-rate","display_name":"contact rate","score":0.9620000123977661},{"id":"https://openalex.org/keywords/removal-rate","display_name":"removal rate","score":0.8989999890327454}],"concepts":[{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.791967511177063},{"id":"https://openalex.org/C3008058167","wikidata":"https://www.wikidata.org/wiki/Q84263196","display_name":"Coronavirus disease 2019 (COVID-19)","level":4,"score":0.6360602378845215},{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.6139965057373047},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5451866388320923},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.5220175385475159},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5099133253097534},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5022504329681396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45731469988822937},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4259248971939087},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.41256457567214966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3408101201057434},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3340768814086914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31618532538414},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.243297278881073},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20958516001701355},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.1871454417705536},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.14845171570777893},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11615774035453796},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06702801585197449},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.7566/jpsj.90.023801","doi":"https://doi.org/10.7566/jpsj.90.023801","is_oa":false,"landing_page_url":"https://doi.org/10.7566/jpsj.90.023801","pdf_url":null,"source":{"id":"https://openalex.org/S119212824","display_name":"Journal of the Physical Society of Japan","issn_l":"0031-9015","issn":["0031-9015","1347-4073"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313296","host_organization_name":"Physical Society of Japan","host_organization_lineage":["https://openalex.org/P4310313296"],"host_organization_lineage_names":["Physical Society of Japan"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Physical Society of Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.5683000087738037,"display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1579306088","https://openalex.org/W1977738976","https://openalex.org/W2061011338","https://openalex.org/W2148301044","https://openalex.org/W2330947529","https://openalex.org/W4388299012"],"related_works":["https://openalex.org/W3126573053","https://openalex.org/W3169104245","https://openalex.org/W3212210973","https://openalex.org/W6922344207","https://openalex.org/W6963686896","https://openalex.org/W4362612247","https://openalex.org/W4200097842","https://openalex.org/W4321130243","https://openalex.org/W4401918890","https://openalex.org/W4387219901"],"abstract_inverted_index":{"Mathematical":[0],"models":[1],"for":[2],"infectious":[3],"diseases":[4],"are":[5,13,80],"considered.":[6],"The":[7,61],"exact":[8],"solutions":[9],"of":[10,17,32,63,86],"SIR":[11,25,42],"model":[12,26,43],"analyzed":[14,51],"in":[15,20,57],"terms":[16],"oscillatory":[18],"motion":[19],"susceptible\u2013infected":[21],"(S\u2013I)":[22],"phase":[23,59],"space.":[24,60],"can":[27],"not":[28],"apply":[29],"the":[30,64],"effect":[31],"repeated":[33],"epidemics,":[34],"and":[35,44,75,82],"then,":[36],"we":[37],"introduce":[38],"inflow":[39],"population":[40],"into":[41],"name":[45],"it":[46],"SIR-i":[47],"model.":[48],"Stability":[49],"is":[50,66],"around":[52],"a":[53],"stable":[54],"equilibrium":[55],"point":[56],"S\u2013I":[58],"nature":[62],"phenomenon":[65],"governed":[67],"by":[68],"(contact":[69],"rate)":[70,74],"\u00d7":[71],"(inflow":[72],"population)/(removal":[73],"(removal":[76],"rate).":[77],"Numerical":[78],"examples":[79],"shown":[81],"discussed":[83],"with":[84],"parameters":[85],"COVID-19.":[87]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-24T09:50:30.924529","created_date":"2021-02-01T00:00:00"}