References
- World Health Organization . Hepatitis B; [cited 2008 Aug]. Available from: http://www.who.int/mediacentre/factsheets/fs204/en/index.html
- World Health Organization . Expanded programme on immunization: Global Advisory Group, Part I, Weekly Epidemiological Record. 1992;67:11–19.
- Kane M . Global programme for control of hepatitis B infection. Vaccine. 1995;13:S47–S49.
- Edmunds WJ , Medley GF , Nokes DJ , et al . The influence of age on the development of the hepatitis B carrier state. Proc R Soc Lond B. 1993;253:197–201.
- McLean AR , Blumberg BS . Modelling the impact of mass vaccination against hepatitis B. I. Model formulation and parameter estimation. Proc R Soc Lond B. 1994;256:7–15.
- Zhao SJ , Xu ZY , Lu Y . A mathematical model of hepatitis B virus transmission and its application for vaccination strategy in China. Int J Epidemiol. 2000;29:744–752.
- Shepard CW , Simard EP , Finelli L , et al . Hepatitis B virus infection: epidemiology and vaccination. Epidemiol Rev. 2006;28:112–125.
- Goldstein S , Zhou F , Hadler SC , et al . A mathematical model to estimate global hepatitis B disease burden and vaccination impact. Int J Epidemiol. 2005;34:1329–1339.
- Kemper JT . The effects of asymptotic attacks on the spread of infectious disease: a deterministic model. Bull Math Bio. 1978;40:707–718.
- Zou L , Zhang W , Ruan S . Modeling the transmission dynamics and control of hepatitis B virus in China. J Theor Biol. 2010;262:330–338.
- Medley GF , Lindop NA , Edmunds WJ , et al . Hepatitis-B virus edemicity: heterogeneity, catastrophic dynamics and control. Nat Med. 2001;7:617–624.
- Zhang S , Xu X . A mathematical model for hepatitis B with infection-age structure. Discrete Contin Dyn Syst B. 2016;21:1329–1346.
- Iannelli M . Mathematical theory of age-structured population dynamics. Pisa: Giardini Editori e Stampatori; 1994.
- Hale JK . Asymptotic behavior of dissipative systems. Vol. 25, Mathematical surveys and monographs. Providence (RI): American Mathematical Society; 1988.
- Magal P . Compact attractors for time periodic age-structured population models. Electron J Differ Equ. 2001;65:1–35.
- Thieme HR . Semiflows generated by Lipschitz perturbations of non-densely defined operators. Dif Int Eqs. 1990;3:1035–1066.
- Webb GF . Theory of nonlinear age-dependent population dynamics. New York (NY): Marcel Dekker; 1985.
- Wang J , Zhang R , Kuniya T . The dynamics of an SVIR epidemiological model with infection age. IMA J Appl Math. 2016;81:321–343.
- Diekmann O , Heesterbeek J , Metz J . On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations. J Math Biol. 1990;28:365–382.
- Walker JA . Dynamical systems and evolution equations. New York (NY): Plenum Press; 1980.
- Wang J , Zhang R , Kuniya T . A note on dynamics of an age-of-infection cholera model. Math Biosci Eng. 2016;13(1):227–247.
- Smith HL , Thieme HR . Dynamical systems and population persistence. Providence (RI): American Mathematical Society; 2011.
- McCluskey CC . Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes. Math Biosci Eng. 2012;9:819–841.
- Wang J , Zhang R , Kuniya T . The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes. J Biol Dyna. 2015;9(1):73–101.
- Smith HL . Mathematics in population biology. Princeton (NJ): Princeton University Press; 2003.
- Huang G , Liu X , Takeuchi Y . Lyapunov functions and global stability for age-structure HIV infection model. SIAM J Appl Math. 2012;72:25–38.
- Magal P , McCluskey CC , Webb GF . Lyapunov functional and global asymptotic stability for an infection-age model. Appl Anal. 2010;89:1109–1140.
- Wang J , Zhang R , Kuniya T . Global dynamics for a class of age-infection HIV models with nonlinear infection rate. J Math Anal Appl. 2015;432:289–313.