[1]
|
World Health Organization, 2008, Hepatitis B. World Health Organization Fact Sheet N°204,
Available from http://www.who.int/mediacentre/factsheets/fs204/en/index.html
|
[2]
|
F. Brauer, Z. Shuai and P. van den Driessche, Dynamics of an age-of-infection cholera model, Math. Biosci. Eng., 10 (2013), 1335-1349.
doi: 10.3934/mbe.2013.10.1335.
|
[3]
|
F. Brauer and P. van den Driessche, Models for transmission of disease with immigration of infectives, Math. Biosci., 171 (2001), 143-154.
doi: 10.1016/S0025-5564(01)00057-8.
|
[4]
|
D. Candotti, O. Opare-Sem and H. Rezvan, et al., Molecular and serological characterization of hepatitis B virus in deferred Ghanaian blood donors with and without elevated alanine aminotransferase, J. Viral. Hepat., 13 (2006), 715-724.
|
[5]
|
P. Dény and F. Zoulim, Hepatitis B virus: from diagnosis to treatment, Pathol Biol., 58 (2010), 245-253.
|
[6]
|
W. Edmunds, G. Medley and D. Nokes, et al., The influence of age on the development of the hepatitis B carrier state, Proc. R. Soc. Lond. B., 253 (1993), 197-201.
doi: 10.1098/rspb.1993.0102.
|
[7]
|
A. Franceschetti and A. Pugliese, Threshold behaviour of a SIR epidemic model with age structure and immigration, J. Math. Biol., 57 (2008), 1-27.
doi: 10.1007/s00285-007-0143-1.
|
[8]
|
E. Franco, B. Bagnato and M. G. Marino, et al., Hepatitis B: Epidemiology and prevention in developing countries, World J. Hepatol., 4 (2012), 74-80.
|
[9]
|
D. Ganem and A. M. Prince, Hepatitis B virus infection-natural history and clinical consequences, N. Engl. J. Med., 350 (2004), 1118-1129.
doi: 10.1056/NEJMra031087.
|
[10]
|
L. Gross, A Broken Trust: Lessons from the Vaccine-Autism Wars, PLoS Biol., 7 (2009), e1000114.
doi: 10.1371/journal.pbio.1000114.
|
[11]
|
H. Guo and M. Y. Li, Impacts of migration and immigration on disease transmission dynamics in heterogenous populations, Discrete Contin. Dyn. Syst. Ser B, 17 (2012), 2413-2430.
doi: 10.3934/dcdsb.2012.17.2413.
|
[12]
|
H. Guo and M. Y. Li, Global stability of the endemic equilibrium of a tuberculosis model with immigration and treatment, Canad. Appl. Math. Quart., 19 (2012), 1-17.
|
[13]
|
G. Huang, X. Liu and Y. Takeuchi, Lyapunov functions and global stability for age-structured HIV infection model, SIAM J. Appl. Math., 72 (2012), 25-38.
doi: 10.1137/110826588.
|
[14]
|
M. Kane, Global programme for control of hepatitis B infection, Vaccine, 13 (1995), S47-S49.
|
[15]
|
P. Magal, C. McCluskey and G. Webb, Lyapunov functional and global asymptotic stability for an infection-age model, Applicable Analysis, 89 (2010), 1109-1140.
doi: 10.1080/00036810903208122.
|
[16]
|
E. E. Mast, J. W. Ward and H. B Vaccine, Vaccines (S. Plotkin, W. Orenstein & P. Offit),
5th edition, WB Saunders Company, (2008), 205–242.
|
[17]
|
C. McCluskey, Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes, Math. Biosci. Eng., 9 (2012), 819-841.
doi: 10.3934/mbe.2012.9.819.
|
[18]
|
C. McCluskey, Global stability for an SEI model of infectious disease with age structure and immigration of infecteds, Math. Biosci. Eng., 13 (2016), 381-400.
doi: 10.3934/mbe.2015008.
|
[19]
|
G. Medley, N. Lindop, W. Edmunds and D. Nokes, Hepatitis-B virus endemicity: Heterogeneity, catastrophic dynamics and control, Nature Medicine, 7 (2001), 619-624.
doi: 10.1038/87953.
|
[20]
|
Y. Mekonnen, R. Jegou and R. A. Coutinho, et al., Demographic impact of AIDS in a low-fertility urban African setting: Projection for Addis Ababa, Ethiopia, J. Health Popul. Nutr., 20 (2002), 120-129.
|
[21]
|
S. K. Parker, B. Schwartz, J. Todd and L. K. Pickering, Thimerosal-Containing Vaccines and Autistic Spectrum Disorder: A Critical Review of Published Original Data, Pediatrics, 114 (2004), 793-804.
|
[22]
|
L. Rong, Z. Feng and A. Perelson, Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy, SIAM J. Appl. Math., 67 (2007), 731-756.
doi: 10.1137/060663945.
|
[23]
|
H. Smith and H. Thieme,
Dynamical Systems and Population Persistence, American Mathematical Society, Providence, 2011.
|
[24]
|
G. F. Webb,
Theory of Nonlinear Age-dependent Population Dynamics, Marcel Dekker, New York, 1985.
|
[25]
|
W. W. Williams, P.-J. Lu and A. O'Halloran, et al., Vaccination Coverage Among Adults, Excluding Influenza Vaccination -- United States, 2013, Morbidity and Mortality Weekly Report, 64 (2015), 95-102.
|
[26]
|
S. Zhang and X. Xu, A mathematical model for hepatitis B with infection-age structure, Discrete Contin. Dyn. Syst. Ser. B, 21 (2016), 1329-1346.
doi: 10.3934/dcdsb.2016.21.1329.
|
[27]
|
S. Zhao, Z. Xu and Y. Lu, A mathematical model of hepatitis B virus transmission and its application for vaccination strategy in China, Int. J. Epidemiol., 29 (1994), 744-752.
doi: 10.1093/ije/29.4.744.
|
[28]
|
X. Zhao,
Dynamical Systems in Population Biology, Springer-Verlag, New York, 2003.
doi: 10.1007/978-0-387-21761-1.
|
[29]
|
L. Zou, S. Ruan and W. Zhang, An age-structured model for the transmission dynamics of hepatitis B, SIAM J. Appl. Math., 70 (2010), 3121-3139.
doi: 10.1137/090777645.
|