{"id":"https://openalex.org/W1990856774","doi":"https://doi.org/10.1137/090777645","title":"An Age-Structured Model for the Transmission Dynamics of Hepatitis B","display_name":"An Age-Structured Model for the Transmission Dynamics of Hepatitis B","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1990856774","doi":"https://doi.org/10.1137/090777645","mag":"1990856774"},"language":"en","primary_location":{"id":"doi:10.1137/090777645","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090777645","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5040299913","display_name":"Lan Zou","orcid":"https://orcid.org/0000-0003-2443-0817"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lan Zou","raw_affiliation_strings":[", Sichuan University"],"affiliations":[{"raw_affiliation_string":", Sichuan University","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091820514","display_name":"Shigui Ruan","orcid":"https://orcid.org/0000-0002-6348-8205"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shigui Ruan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5019414664","display_name":"Weinian Zhang","orcid":"https://orcid.org/0000-0002-4566-499X"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weinian Zhang","raw_affiliation_strings":[", Sichuan University"],"affiliations":[{"raw_affiliation_string":", Sichuan University","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040299913"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":1.1398,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.78353025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"70","issue":"8","first_page":"3121","last_page":"3139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10340","display_name":"Hepatitis B Virus Studies","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T10340","display_name":"Hepatitis B Virus Studies","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980000257492065,"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":0.996399998664856,"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/transmission","display_name":"Transmission (telecommunications)","score":0.7029573917388916},{"id":"https://openalex.org/keywords/hepatitis-b-virus","display_name":"Hepatitis B virus","score":0.6555259823799133},{"id":"https://openalex.org/keywords/basic-reproduction-number","display_name":"Basic reproduction number","score":0.6357424259185791},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.6194085478782654},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5703161358833313},{"id":"https://openalex.org/keywords/age-structure","display_name":"Age structure","score":0.5102689266204834},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.42648300528526306},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.40257883071899414},{"id":"https://openalex.org/keywords/virus","display_name":"Virus","score":0.37715908885002136},{"id":"https://openalex.org/keywords/immunology","display_name":"Immunology","score":0.3406987190246582},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.32951414585113525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2043343186378479},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12719568610191345},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08043423295021057}],"concepts":[{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.7029573917388916},{"id":"https://openalex.org/C2780593183","wikidata":"https://www.wikidata.org/wiki/Q6844","display_name":"Hepatitis B virus","level":3,"score":0.6555259823799133},{"id":"https://openalex.org/C204264503","wikidata":"https://www.wikidata.org/wiki/Q901464","display_name":"Basic reproduction number","level":3,"score":0.6357424259185791},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.6194085478782654},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5703161358833313},{"id":"https://openalex.org/C3018663394","wikidata":"https://www.wikidata.org/wiki/Q329823","display_name":"Age structure","level":3,"score":0.5102689266204834},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.42648300528526306},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.40257883071899414},{"id":"https://openalex.org/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.37715908885002136},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.3406987190246582},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.32951414585113525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2043343186378479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12719568610191345},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08043423295021057},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090777645","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090777645","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.420.1076","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.420.1076","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.miami.edu/~ruan/MyPapers/ZouRuanZhang-SIAP2010.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.800000011920929,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1167765974","https://openalex.org/W1531885435","https://openalex.org/W1540294802","https://openalex.org/W1606697907","https://openalex.org/W2010541536","https://openalex.org/W2010665245","https://openalex.org/W2014482581","https://openalex.org/W2029359852","https://openalex.org/W2034254628","https://openalex.org/W2034549627","https://openalex.org/W2041572706","https://openalex.org/W2053153821","https://openalex.org/W2056704058","https://openalex.org/W2079758803","https://openalex.org/W2082602709","https://openalex.org/W2083449041","https://openalex.org/W2087774559","https://openalex.org/W2091097694","https://openalex.org/W2098689898","https://openalex.org/W2100930565","https://openalex.org/W2104969243","https://openalex.org/W2108749834","https://openalex.org/W2116333818","https://openalex.org/W2154797357","https://openalex.org/W2163274841","https://openalex.org/W2169082384","https://openalex.org/W2362947387","https://openalex.org/W4237036802"],"related_works":["https://openalex.org/W3006177842","https://openalex.org/W2903293690","https://openalex.org/W2724817865","https://openalex.org/W2400992695","https://openalex.org/W2382944939","https://openalex.org/W3169069926","https://openalex.org/W3034000495","https://openalex.org/W3033508266","https://openalex.org/W2905028357","https://openalex.org/W1498855299"],"abstract_inverted_index":{"Hepatitis":[0],"B":[1],"virus":[2],"(HBV)":[3],"infection":[4],"is":[5,20,45,50],"endemic":[6,81],"in":[7],"many":[8],"parts":[9],"of":[10,14,17,24,40,77,85,100],"the":[11,15,21,25,37,67,73,78,86,98],"world.":[12],"One":[13],"characteristics":[16],"HBV":[18],"transmission":[19,38,99],"age":[22,48],"structure":[23],"host":[26,43],"population.":[27],"In":[28],"this":[29],"paper,":[30],"we":[31,71],"propose":[32],"an":[33],"age-structured":[34],"model":[35],"for":[36,96],"dynamics":[39],"HBV.":[41,101],"The":[42],"population":[44],"stratified":[46],"by":[47],"and":[49,62,75,80],"divided":[51],"into":[52],"six":[53],"subclasses:":[54],"susceptible,":[55],"latently":[56],"infected,":[57],"acutely":[58],"infectious,":[59],"carrier,":[60],"recovered,":[61],"vaccinated":[63],"individuals.":[64],"By":[65],"determining":[66],"basic":[68],"reproduction":[69],"number,":[70],"study":[72],"existence":[74],"stability":[76],"disease-free":[79],"steady":[82],"state":[83],"solutions":[84],"model.":[87],"Numerical":[88],"simulations":[89],"are":[90],"performed":[91],"to":[92],"find":[93],"optimal":[94],"strategies":[95],"controlling":[97]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
