The dynamics of an SVIR epidemiological model with infection age

被引：38
作者：
Wang, Jinliang [1 ]
Zhang, Ran [1 ]
Kuniya, Toshikazu [2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Kobe Univ, Grad Sch Syst Informat, Nada Ku, 1-1 Rokkodai Cho, Kobe, Hyogo 6578501, Japan
来源：
IMA JOURNAL OF APPLIED MATHEMATICS | 2016年 / 81卷 / 02期
基金：
日本学术振兴会; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
SVIR epidemiological model; infection-age structure; basic reproduction number; Lyapunov function; uniform persistence; global asymptotic stability; GLOBAL ASYMPTOTIC STABILITY; VARYING INFECTIVITY; INTRACELLULAR DELAYS; NONLINEAR INCIDENCE; VIRAL-INFECTIONS; INFINITE DELAY; VACCINATION; SIR;
D O I：
10.1093/imamat/hxv039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the global dynamics of an susceptible, vaccinated, infectious and recovered epidemiological model with infection-age structure. Biologically, we assume that effective contacts between vaccinated individuals and infectious individuals are less than that between susceptible individuals and infectious individuals. Using Lyapunov functions, we show that the global stability of each equilibrium is completely determined by the basic reproduction number R-0: if R-0 <= 1, then the diseasefree equilibrium is globally asymptotically stable; while if R-0 > 1, then there exists a unique endemic equilibrium which is globally asymptotically stable.
引用
收藏
页码：321 / 343
页数：23
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