{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,27]],"date-time":"2026-08-27T22:31:16Z","timestamp":1787869876977,"version":"build-2784847793"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"8","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Math."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>Hepatitis B virus (HBV) infection is endemic in many parts of the world. One of the characteristics of HBV transmission is the age structure of the host population. In this paper, we propose an age-structured model for the transmission dynamics of HBV. The host population is stratified by age and is divided into six subclasses: susceptible, latently infected, acutely infectious, carrier, recovered, and vaccinated individuals. By determining the basic reproduction number, we study the existence and stability of the disease-free and endemic steady state solutions of the model. Numerical simulations are performed to find optimal strategies for controlling the transmission of HBV.<\/jats:p>","DOI":"10.1137\/090777645","type":"journal-article","created":{"date-parts":[[2010,11,5]],"date-time":"2010-11-05T20:13:40Z","timestamp":1288988020000},"page":"3121-3139","source":"Crossref","is-referenced-by-count":72,"title":["An Age-Structured Model for the Transmission Dynamics of Hepatitis B"],"prefix":"10.1137","volume":"70","author":[{"given":"Lan","family":"Zou","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shigui","family":"Ruan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weinian","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,11,4]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"R. M. Anderson and R. M. 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Bennet, ed., Gower Medical Publishing, London, 1992, pp. 95\u2013130."},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0148085"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/0522069"},{"key":"R5","unstructured":"Centers for Disease Control and Prevention (CDC),\n                      The Pre-travel Consultation Travel-Related Vaccine-Preventable Diseases: Hepatitis B\n                      , in Travelers' Health-Yellow Book, Chapter 2, http:\/\/wwwn.cdc.gov\/travel\/yellowbook\/2010\/chapter-2\/hepatitis-b.aspx."},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/BF00178324"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19961030)15:20<2215::AID-SIM369>3.0.CO;2-2"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/S0035-9203(96)90539-8"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.1993.0102"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.10.009"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1093\/ije\/dyi206"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1093\/imammb\/4.2.109"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1093\/imammb\/5.2.81"},{"key":"R14","unstructured":"M. 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Ruan, eds., Lecture Notes in Math. 1936, Springer-Verlag, Berlin, New York, 2008, pp. 1\u201349.","DOI":"10.1007\/978-3-540-78273-5_1"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1017\/S0950268800058970"},{"key":"R29","first-page":"11","volume":"67","author":"(WHO) World Health Organization","year":"1992","journal-title":"Weekly Epidemiological Record"},{"key":"R30","unstructured":"World Health Organization (WHO),\n                      Hepatitis B\n                      , Revised August 2008, http:\/\/www.who. int\/mediacentre\/factsheets\/fs204\/en\/index.html."},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1093\/ije\/29.4.744"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2009.09.035"}],"container-title":["SIAM Journal on Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090777645","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:12:19Z","timestamp":1787335939000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090777645"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":32,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1137\/090777645"],"URL":"https:\/\/doi.org\/10.1137\/090777645","relation":{},"ISSN":["0036-1399","1095-712X"],"issn-type":[{"value":"0036-1399","type":"print"},{"value":"1095-712X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}