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
  • [41] DYNAMICS OF AN AGE-STRUCTURED HIV MODEL WITH SUPER-INFECTION
    Cai, Liming
    Liu, Jinliang
    Chen, Yuming
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2021, 20 (02) : 257 - 276
  • [42] Global dynamics for a class of infection-age model with nonlinear incidence
    Li, Yuji
    Xu, Rui
    Lin, Jiazhe
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (01): : 47 - 72
  • [43] Transmission dynamics of a two-strain pairwise model with infection age
    Zhang, Juping
    Li, Dan
    Jing, Wenjun
    Jin, Zhen
    Zhu, Huaiping
    APPLIED MATHEMATICAL MODELLING, 2019, 71 : 656 - 672
  • [44] Hopf bifurcation of an infection-age structured eco-epidemiological model with saturation incidence
    Yang, Peng
    Wang, Yuanshi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 477 (01) : 398 - 419
  • [45] Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate
    Abraham J. Arenas
    Gilberto González-Parra
    Nicolás De La Espriella
    Computational and Applied Mathematics, 2021, 40
  • [46] Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate
    Arenas, Abraham J.
    Gonzalez-Parra, Gilberto
    De la Espriella, Nicolas
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02):
  • [47] Threshold Dynamics of a Chronological Age and Infection Age Structured Cholera Model with Neumann Boundary Condition
    Wang, Xiaoyan
    Yang, Junyuan
    Han, Yan
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (04):
  • [48] Threshold Dynamics of a Chronological Age and Infection Age Structured Cholera Model with Neumann Boundary Condition
    Xiaoyan Wang
    Junyuan Yang
    Yan Han
    Zeitschrift für angewandte Mathematik und Physik, 2023, 74
  • [49] Age-structure and transient dynamics in epidemiological systems
    Magpantay, F. M. G.
    King, A. A.
    Rohani, P.
    JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2019, 16 (156)
  • [50] Epidemiological investigation of bovine tuberculosis infection dynamics in Turkey
    Cakir, Sahin
    Yildirim, Murat
    Diker, Kadir Serdar
    Keskin, Fevziye Ipek
    Yuksel, Selcen
    Deveci, Burak
    Akcay, Erhan
    TURKISH JOURNAL OF VETERINARY & ANIMAL SCIENCES, 2022, 46 (01): : 147 - 156
12345