An Age-Structured Model for the Transmission Dynamics of Hepatitis B

Lan Zou, Shigui Ruan, Weinian Zhang

Type: Article

Publication Date: 2010-01-01

Citations: 64

DOI: https://doi.org/10.1137/090777645

Abstract

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.

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
SIAM Journal on Applied Mathematics - View

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Works Cited by This (14)

Action	Title	Year	Authors
+	Threshold and stability results for an age-structured epidemic model	1990	Hisashi Inaba
+	Analytical Results on the Stability of Age-Structured Recurrent Epidemic Models	1987	David Greenhalgh
+	Threshold and stability results for an age-structured SEIR epidemic model	2001	Xue-Zhi Li Geni Gupur Guangtian Zhu
+	Mathematical analysis of an age-structured SIR epidemic model with vertical transmission	2006	Hisashi Inaba
+ PDF Chat	On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations	1990	Odo Diekmann Hans Heesterbeek J.A.J. Metz
+ PDF Chat	The transmission dynamics of hepatitis B in the UK: a mathematical model for evaluating costs and effectiveness of immunization programmes	1996	John R. Williams D. James Nokes Graham F. Medley Roy M. Anderson
+	The transmission of meningococcal infection: a mathematical study	2003	Maia Martcheva Gloria Crispino-O’Connell
+	Vaccination against hepatitis B virus in highly endemic areas: waning vaccine-induced immunity and the need for booster doses	1996	W. John Edmunds Graham F. Medley D. James Nokes
+	Global Behavior of an Age-Structured Epidemic Model	1991	Stavros Busenberg Mimmo Iannelli Horst R. Thieme
+	Threshold and Stability Results for an Epidemic Model with an Age-Structured Meeting Rate	1988	David Greenhalgh