THE DYNAMICS OF AN HBV EPIDEMIC MODEL ON COMPLEX HETEROGENEOUS NETWORKS

被引：2
作者：
Qiao, Meihong [1 ,2 ]
Liu, Anping [1 ]
Tang, Qing [1 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei Province, Peoples R China
[2] Postdoc Huazhong Univ Sci & Technol, Wuhan 430074, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2015年 / 20卷 / 05期
关键词：
Heterogeneous network; HBV; mathematical model; global stability; equilibrium; SCALE-FREE NETWORKS; QUALITATIVE-ANALYSIS;
D O I：
10.3934/dcdsb.2015.20.1393
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an HBV epidemic model on complex heterogeneous networks is proposed. Theoretical analysis of the HBV spreading dynamics is presented via mean-field approximation. Stabilities of the disease-free equilibrium and the endemic equilibrium are studied. The theoretical results reveal that disease propagation is impacted by the heterogeneous connectivity patterns and the underlying network structures.
引用
收藏
页码：1393 / 1404
页数：12
相关论文
共 14 条
  • [1] When individual behaviour matters: homogeneous and network models in epidemiology
    Bansal, Shweta
    Grenfell, Bryan T.
    Meyers, Lauren Ancel
    [J]. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2007, 4 (16) : 879 - 891
  • [2] Emergence of scaling in random networks
    Barabási, AL
    Albert, R
    [J]. SCIENCE, 1999, 286 (5439) : 509 - 512
  • [3] Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization
    Fu, Xinchu
    Small, Michael
    Walker, David M.
    Zhang, Haifeng
    [J]. PHYSICAL REVIEW E, 2008, 77 (03):
  • [4] The mathematics of infectious diseases
    Hethcote, HW
    [J]. SIAM REVIEW, 2000, 42 (04) : 599 - 653
  • [5] Joo J, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066105
  • [6] Epidemic spreading of an SEIRS model in scale-free networks
    Liu, Junli
    Zhang, Tailei
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (08) : 3375 - 3384
  • [7] Epidemic spreading in community networks
    Liu, ZH
    Hu, BB
    [J]. EUROPHYSICS LETTERS, 2005, 72 (02): : 315 - 321
  • [8] Epidemic outbreaks in complex heterogeneous networks
    Moreno, Y
    Pastor-Satorras, R
    Vespignani, A
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2002, 26 (04) : 521 - 529
  • [9] Unexpected epidemic thresholds in heterogeneous networks: The role of disease transmission
    Olinky, R
    Stone, L
    [J]. PHYSICAL REVIEW E, 2004, 70 (03): : 4
  • [10] Epidemic spreading in scale-free networks
    Pastor-Satorras, R
    Vespignani, A
    [J]. PHYSICAL REVIEW LETTERS, 2001, 86 (14) : 3200 - 3203
12