AN AGE-STRUCTURED MODEL FOR THE TRANSMISSION DYNAMICS OF HEPATITIS B

被引：56
|
作者：
Zou, Lan [1 ,2 ]
Ruan, Shigui [3 ]
Zhang, Weinian [1 ,2 ]
机构：
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Univ Miami, Dept Math, Coral Gables, FL 33124 USA
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2010年 / 70卷 / 08期
基金：
美国国家科学基金会;
关键词：
HBV; age structure; steady state; stability; basic reproduction number; MATHEMATICAL-MODEL; EPIDEMIC MODEL; GLOBAL BEHAVIOR; VIRUS; STABILITY; VACCINATION; THRESHOLD; INFECTION;
D O I：
10.1137/090777645
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：3121 / 3139
页数：19
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