{"id":"https://openalex.org/W2911259080","doi":"https://doi.org/10.1109/access.2019.2898639","title":"The Computational Approach for the Basic Reproduction Number of Epidemic Models on Complex Networks","display_name":"The Computational Approach for the Basic Reproduction Number of Epidemic Models on Complex Networks","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2911259080","doi":"https://doi.org/10.1109/access.2019.2898639","mag":"2911259080"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2898639","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2898639","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08638933.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08638933.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033501751","display_name":"Junyuan Yang","orcid":"https://orcid.org/0000-0002-5825-3364"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junyuan Yang","raw_affiliation_strings":["Complex Systems Research Center, Shanxi University, Taiyuan, China"],"raw_orcid":"https://orcid.org/0000-0002-5825-3364","affiliations":[{"raw_affiliation_string":"Complex Systems Research Center, Shanxi University, Taiyuan, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101753007","display_name":"Fei Xu","orcid":"https://orcid.org/0000-0003-2684-5004"},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Fei Xu","raw_affiliation_strings":["Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I75381157"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.2171,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.88125778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"26474","last_page":"26479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"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":0.9969000220298767,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7180930376052856},{"id":"https://openalex.org/keywords/reproduction","display_name":"Reproduction","score":0.5966078042984009},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.5292239189147949},{"id":"https://openalex.org/keywords/epidemic-model","display_name":"Epidemic model","score":0.4659266173839569},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38091570138931274},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.12116655707359314},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.11363384127616882},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.064412921667099}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7180930376052856},{"id":"https://openalex.org/C59659247","wikidata":"https://www.wikidata.org/wiki/Q11990","display_name":"Reproduction","level":2,"score":0.5966078042984009},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.5292239189147949},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.4659266173839569},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38091570138931274},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.12116655707359314},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.11363384127616882},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.064412921667099},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2898639","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2898639","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08638933.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:eb441db955494585963fda6af235f07f","is_oa":true,"landing_page_url":"https://doaj.org/article/eb441db955494585963fda6af235f07f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 26474-26479 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2898639","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2898639","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08638933.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G2011878512","display_name":null,"funder_award_id":"2015094","funder_id":"https://openalex.org/F4320321884","funder_display_name":"Shanxi Scholarship Council of China"},{"id":"https://openalex.org/G2464681605","display_name":null,"funder_award_id":"61573016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3024311762","display_name":null,"funder_award_id":"61203228","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"},{"id":"https://openalex.org/F4320321884","display_name":"Shanxi Scholarship Council of China","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320322536","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2911259080.pdf","grobid_xml":"https://content.openalex.org/works/W2911259080.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W54282056","https://openalex.org/W94176095","https://openalex.org/W1993284796","https://openalex.org/W2002220178","https://openalex.org/W2008620264","https://openalex.org/W2026778032","https://openalex.org/W2030539428","https://openalex.org/W2038195874","https://openalex.org/W2041572706","https://openalex.org/W2112680994","https://openalex.org/W2135751550","https://openalex.org/W2163966557","https://openalex.org/W2311634227","https://openalex.org/W2324250247","https://openalex.org/W2392634254","https://openalex.org/W2553609043","https://openalex.org/W2903293690"],"related_works":["https://openalex.org/W4320351350","https://openalex.org/W2230721379","https://openalex.org/W2376250553","https://openalex.org/W3138234900","https://openalex.org/W2356839139","https://openalex.org/W4388177052","https://openalex.org/W3113377908","https://openalex.org/W2032448025","https://openalex.org/W4293088316","https://openalex.org/W4282960359"],"abstract_inverted_index":{"The":[0],"basic":[1,37,68,83],"reproduction":[2,38,69,84],"number":[3,39,70,85],"plays":[4],"an":[5,28,45],"important":[6],"role":[7],"in":[8,22],"exploring":[9],"the":[10,13,23,36,63,67,72,82],"dynamics":[11],"of":[12,25,66,86,94],"epidemic":[14,29,88],"models.":[15,102],"Such":[16],"value":[17],"has":[18,40],"been":[19,41],"extensively":[20],"used":[21],"estimation":[24],"how":[26],"severe":[27],"outbreak.":[30],"Although":[31],"several":[32],"methods":[33],"for":[34],"calculating":[35],"proposed,":[42],"there":[43],"isn't":[44],"effectively":[46],"universal":[47],"method":[48,79],"to":[49,61,80],"estimate":[50,81],"such":[51,77],"value.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"propose":[57],"a":[58,78],"general":[59],"approach":[60],"calculate":[62],"explicit":[64],"formulation":[65],"by":[71],"renewal":[73],"equation.":[74],"We":[75],"apply":[76],"many":[87],"models":[89],"on":[90],"complex":[91],"networks":[92],"consisting":[93],"mean-field":[95],"models,":[96,98],"pairwise":[97],"and":[99],"edge-based":[100],"compartmental":[101]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
