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：
中国国家自然科学基金; 中国博士后科学基金; 日本学术振兴会;
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
相关论文
共 50 条
  • [11] A Stochastic SVIR Model with Imperfect Vaccine and External Source of Infection
    Gamboa, Maria
    Lopez-Garcia, Martin
    Jesus Lopez-Herrero, Maria
    PERFORMANCE ENGINEERING AND STOCHASTIC MODELING, 2021, 13104 : 197 - 209
  • [12] SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse
    Wang, Jinliang
    Guo, Min
    Liu, Shengqiang
    IMA JOURNAL OF APPLIED MATHEMATICS, 2017, 82 (05) : 945 - 970
  • [13] Dynamics of a fractional epidemiological model with disease infection in both the populations
    Baishya, Chandrali
    Achar, Sindhu J.
    Veeresha, P.
    Prakasha, D. G.
    CHAOS, 2021, 31 (04)
  • [14] Global dynamics of an epidemiological model with age of infection and disease relapse (vol 12, pg118, 2020)
    Xu, Rui
    JOURNAL OF BIOLOGICAL DYNAMICS, 2020, 14 (01) : 438 - 438
  • [15] DYNAMICS OF AN AGE-OF-INFECTION CHOLERA MODEL
    Brauer, Fred
    Shuai, Zhisheng
    van den Driessche, P.
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2013, 10 (5-6) : 1335 - 1349
  • [16] THE DYNAMICS OF A DISCRETE SEIT MODEL WITH AGE AND INFECTION AGE STRUCTURES
    Cao, Hui
    Xiao, Yanni
    Zhou, Yicang
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (03)
  • [17] Global dynamics of SVIR epidemic model with distributed delay and imperfect vaccine
    Djilali, Salih
    Bentout, Soufiane
    RESULTS IN PHYSICS, 2021, 25
  • [18] Global stability for a multi-group SVIR model with age of vaccination
    Wang, Chuncheng
    Fan, Dejun
    Xia, Ling
    Yi, Xiaoyu
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (05)
  • [19] Dynamics of a reaction-diffusion SVIR model in a spatial heterogeneous environment
    Zhang, Chao
    Gao, Jianguo
    Sun, Hongquan
    Wang, Jinliang
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 533
  • [20] Global Stability of a Multi-group SVEIR Epidemiological Model with the Vaccination Age and Infection Age
    Shen, Mingwang
    Xiao, Yanni
    ACTA APPLICANDAE MATHEMATICAE, 2016, 144 (01) : 137 - 157
12345