On avian influenza epidemic models with time delay

被引：0
|
作者：
Sanhong Liu
Shigui Ruan
Xinan Zhang
机构：
[1] Central China Normal University,School of Mathematics and Statistics
[2] Wenhua College,Department of Basic Education
[3] University of Miami,Department of Mathematics
来源：
Theory in Biosciences | 2015年 / 134卷
关键词：
Avian influenza; Incubation period; Time delay ; Basic reproduction number; Local and global asymptotical stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
After the outbreak of the first avian influenza A virus (H5N1) in Hong Kong in 1997, another avian influenza A virus (H7N9) crossed the species barrier in mainland China in 2013 and 2014 and caused more than 400 human cases with a death rate of nearly 40 %. In this paper, we take account of the incubation periods of avian influenza A virus and construct a bird-to-human transmission model with different time delays in the avian and human populations combining the survival probability of the infective avian and human populations at the latent time. By analyzing the dynamical behavior of the model, we obtain a threshold value for the prevalence of avian influenza and investigate local and global asymptotical stability of equilibria of the system.
引用
收藏
页码：75 / 82
页数：7
相关论文
共 50 条
  • [1] On avian influenza epidemic models with time delay
    Liu, Sanhong
    Ruan, Shigui
    Zhang, Xinan
    [J]. THEORY IN BIOSCIENCES, 2015, 134 (3-4) : 75 - 82
  • [2] Nonlinear dynamics of avian influenza epidemic models
    Liu, Sanhong
    Ruan, Shigui
    Zhang, Xinan
    [J]. MATHEMATICAL BIOSCIENCES, 2017, 283 : 118 - 135
  • [3] Time delay in epidemic models
    Van den Driessche, P
    [J]. MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: AN INTRODUCTION, 2002, 125 : 119 - 128
  • [4] Permanence and extinction for a nonautonomous avian-human influenza epidemic model with distributed time delay
    Samanta, G. P.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (9-10) : 1794 - 1811
  • [5] Global Dynamics of Avian Influenza Epidemic Models with Psychological Effect
    Liu, Sanhong
    Pang, Liuyong
    Ruan, Shigui
    Zhang, Xinan
    [J]. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2015, 2015
  • [6] Avian Influenza: Effects of an Epidemic
    Kopon, Owen
    [J]. DEFENCE AND SECURITY ANALYSIS, 2006, 22 (03): : 311 - 314
  • [7] Control strategies of avian influenza pandemic model with time delay
    Roman, U.
    Gul, Z.
    Saeed, I.
    Hakeem, U.
    Shafie, S.
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2017, 10 (07)
  • [8] Hopf bifurcation in epidemic models with a time delay in vaccination
    Khan, QJA
    Greenhalgh, D
    [J]. IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY, 1999, 16 (02): : 113 - 142
  • [9] Avian-human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment
    Tadmon, Calvin
    Tsanou, Berge
    Feukouo, Arnaud Fossi
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 67
  • [10] Numerical Analysis of an Avian Influenza Epidemic Model
    Rafiq, M.
    Raza, A.
    Hareem, Iqra
    Iqbal, M. Usman
    [J]. PROCEEDINGS OF 2020 17TH INTERNATIONAL BHURBAN CONFERENCE ON APPLIED SCIENCES AND TECHNOLOGY (IBCAST), 2020, : 195 - 200
12345