{"id":"https://openalex.org/W3014640778","doi":"https://doi.org/10.1109/tnse.2020.3024723","title":"A Time-Dependent SIR Model for COVID-19 With Undetectable Infected Persons","display_name":"A Time-Dependent SIR Model for COVID-19 With Undetectable Infected Persons","publication_year":2020,"publication_date":"2020-09-18","ids":{"openalex":"https://openalex.org/W3014640778","doi":"https://doi.org/10.1109/tnse.2020.3024723","mag":"3014640778","pmid":"https://pubmed.ncbi.nlm.nih.gov/37981959"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2020.3024723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2020.3024723","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.00122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yi-Cheng Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yi-Cheng Chen","raw_affiliation_strings":["Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ping-En Lu","orcid":"https://orcid.org/0000-0002-1352-0983"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ping-En Lu","raw_affiliation_strings":["Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C"],"raw_orcid":"https://orcid.org/0000-0002-1352-0983","affiliations":[{"raw_affiliation_string":"Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Cheng-Shang Chang","orcid":"https://orcid.org/0000-0002-5386-4756"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Cheng-Shang Chang","raw_affiliation_strings":["Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C"],"raw_orcid":"https://orcid.org/0000-0002-5386-4756","affiliations":[{"raw_affiliation_string":"Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":null,"display_name":"Tzu-Hsuan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tzu-Hsuan Liu","raw_affiliation_strings":["Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Communications EngineeringNational Tsing Hua University Hsinchu 30013 Taiwan R.O.C","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":9.2117,"has_fulltext":false,"cited_by_count":373,"citation_normalized_percentile":{"value":0.98199487,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"7","issue":"4","first_page":"3279","last_page":"3294"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.8762999773025513,"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"}},"topics":[{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.8762999773025513,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.057100001722574234,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.007300000172108412,"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/epidemic-model","display_name":"Epidemic model","score":0.7768999934196472},{"id":"https://openalex.org/keywords/outbreak","display_name":"Outbreak","score":0.6980000138282776},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.6096000075340271},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.5593000054359436},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5429999828338623},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4496000111103058},{"id":"https://openalex.org/keywords/social-distance","display_name":"Social distance","score":0.3982999920845032},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.3675999939441681}],"concepts":[{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.7768999934196472},{"id":"https://openalex.org/C116675565","wikidata":"https://www.wikidata.org/wiki/Q3241045","display_name":"Outbreak","level":2,"score":0.6980000138282776},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.6096000075340271},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.5593000054359436},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5429999828338623},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4496000111103058},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41589999198913574},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.41029998660087585},{"id":"https://openalex.org/C172656115","wikidata":"https://www.wikidata.org/wiki/Q2142613","display_name":"Social distance","level":5,"score":0.3982999920845032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38609999418258667},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3662000000476837},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.352400004863739},{"id":"https://openalex.org/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.3522000014781952},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3386000096797943},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32280001044273376},{"id":"https://openalex.org/C2992243407","wikidata":"https://www.wikidata.org/wiki/Q525512","display_name":"Disease transmission","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.29980000853538513},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2727000117301941},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C2781254715","wikidata":"https://www.wikidata.org/wiki/Q28454687","display_name":"Infection rate","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tnse.2020.3024723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2020.3024723","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"},{"id":"pmid:37981959","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37981959","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on network science and engineering","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2003.00122","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.00122","pdf_url":"https://arxiv.org/pdf/2003.00122","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8769021","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8769021","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Netw Sci Eng","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.00122","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.00122","pdf_url":"https://arxiv.org/pdf/2003.00122","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4287441627","display_name":"Centrality Analysis, Community Detection, Network Embedding in Attributed Networks and Their Applications","funder_award_id":"MOST108-2221-E007-016-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1968573859","https://openalex.org/W2012151421","https://openalex.org/W2061820396","https://openalex.org/W2090851791","https://openalex.org/W2141075029","https://openalex.org/W2410909666","https://openalex.org/W2759696728","https://openalex.org/W2976859544","https://openalex.org/W3003668884","https://openalex.org/W3004397688","https://openalex.org/W3006177842","https://openalex.org/W3008197038","https://openalex.org/W3009359827","https://openalex.org/W3009946390","https://openalex.org/W3012188173","https://openalex.org/W3014640778","https://openalex.org/W3014770896","https://openalex.org/W3020062806","https://openalex.org/W3023190093","https://openalex.org/W3032220292","https://openalex.org/W4238452917","https://openalex.org/W6675354045","https://openalex.org/W6773679625","https://openalex.org/W6773739047","https://openalex.org/W6773886050","https://openalex.org/W6773915720","https://openalex.org/W6774250159"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,17,42,85,171],"conduct":[4],"mathematical":[5],"and":[6,27,58,97,133,147],"numerical":[7],"analyses":[8],"for":[9,177],"COVID-19.":[10],"To":[11,72,164],"predict":[12],"the":[13,25,36,59,74,77,81,109,123,140,155,166,173,199],"trend":[14],"of":[15,62,76,83,93,112,126,144,157,168,189,198],"COVID-19,":[16],"propose":[18],"a":[19,113,181,196],"time-dependent":[20],"SIR":[21],"model":[22,88,176],"that":[23,127,149,192],"tracks":[24],"transmission":[26],"recovering":[28],"rate":[29],"at":[30],"time":[31],"[Formula:":[32,52,114,119,203],"see":[33,53,115,120,204],"text].":[34,54,205],"Using":[35],"data":[37],"provided":[38],"by":[39,89,108],"China":[40,66],"authority,":[41],"show":[43,148,186],"our":[44,70,87],"one-day":[45],"prediction":[46],"errors":[47],"are":[48,67,151],"almost":[49],"less":[50],"than":[51,131],"The":[55],"turning":[56],"point":[57],"total":[60],"number":[61,202],"confirmed":[63],"cases":[64],"in":[65,180],"predicted":[68],"under":[69],"model.":[71],"analyze":[73,172],"impact":[75],"undetectable":[78,98],"infections":[79],"on":[80,154,160],"spread":[82],"disease,":[84],"extend":[86],"considering":[90],"two":[91,187],"types":[92],"infected":[94,99],"persons:":[95],"detectable":[96],"persons.":[100],"Whether":[101],"there":[102,134,150],"is":[103,106,129,135],"an":[104,136,145],"outbreak":[105,146],"characterized":[107],"spectral":[110,124],"radius":[111,125],"text]":[116],"matrix.":[117],"If":[118],"text],":[121],"then":[122],"matrix":[128],"greater":[130],"1,":[132],"outbreak.":[137],"We":[138,185],"plot":[139],"phase":[141],"transition":[142],"diagram":[143],"several":[152],"countries":[153],"verge":[156],"COVID-19":[158],"outbreaks":[159],"Mar.":[161],"2,":[162],"2020.":[163],"illustrate":[165],"effectiveness":[167],"social":[169,190],"distancing,":[170],"independent":[174],"cascade":[175],"disease":[178],"propagation":[179],"configuration":[182],"random":[183],"network.":[184],"approaches":[188],"distancing":[191],"can":[193],"lead":[194],"to":[195],"reduction":[197],"effective":[200],"reproduction":[201]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":32},{"year":2024,"cited_by_count":41},{"year":2023,"cited_by_count":54},{"year":2022,"cited_by_count":101},{"year":2021,"cited_by_count":102},{"year":2020,"cited_by_count":33}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}