Stability of an age-structured epidemiological model for hepatitis C

被引：8
|
作者：
Li X.-Z. [1 ]
Liu J.-X. [1 ]
机构：
[1] Department of Mathematics, Xinyang Normal University
来源：
Journal of Applied Mathematics and Computing | 2008年 / 27卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Age-structured epidemic model; Basic reproductive number; Endemic equilibrium; Hepatitis C; Stability;
D O I：
10.1007/s12190-008-0060-5
中图分类号：
学科分类号：
摘要：
This article introduces an age-structured epidemiological model for the disease transmission dynamics of hepatitis C. We first show that the infection-free steady state is locally and globally asymptotically stable if the basic reproductive number H0 is below one, in this case, the disease always dies out, then we prove that at least one endemic steady state exists when the reproductive number H0 is above one, the stability conditions for the endemic steady states are also given. © 2008 KSCAM and Springer-Verlag.
引用
收藏
页码：159 / 173
页数：14
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