The Asymptotic Analysis of an Epidemic Model with Quarantine and Infection-age-dependence

被引：0
|
作者：
Zhang Su-xia [1 ]
Qin Xin-qiang [1 ]
机构：
[1] Xian Univ Technol, Sch Sci, Xian, Peoples R China
来源：
2010 4TH INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICAL ENGINEERING (ICBBE 2010) | 2010年
关键词：
mathematical model; epidemic; infection-age dependent; equilibrium; stability; STABILITY;
D O I：
暂无
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
Dynamical behavior of a high-dimension nonlinear SEIQR model with infection-age-dependence is studied. The existence and uniqueness of positive solution of differentialintegral equations is proved. By analyzing the asymptotical behaviors of the model, the threshold is found and stabilities of disease-free and endemic equilibria are obtained.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Mathematical analysis of an age structured epidemic model with a quarantine class
    Sari, Zakya
    Touaoula, Tarik Mohammed
    Ainseba, Bedreddine
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16
  • [2] Mathematical analysis of an age structured epidemic model with a quarantine class
    Sari, Zakya
    Touaoula, Tarik Mohammed
    Ainseba, Bedreddine
    Mathematical Modelling of Natural Phenomena, 2021, 16
  • [3] A SIRS epidemic model with infection-age dependence
    Zhang Zhonghua
    Peng Jigen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) : 1396 - 1414
  • [4] Asymptotic analysis of an epidemic model with primary and secondary infection
    Truscott, JE
    Webb, CR
    Gilligan, CA
    BULLETIN OF MATHEMATICAL BIOLOGY, 1997, 59 (06) : 1101 - 1123
  • [5] Asymptotic analysis of an epidemic model with primary and secondary infection
    Truscott J.E.
    Webb C.R.
    Gilligan C.A.
    Bulletin of Mathematical Biology, 1997, 59 (6) : 1101 - 1123
  • [6] Asymptotic analysis of an age-dependent SIR epidemic model
    Xu, Wenxiong
    Zhang, Zhonghua
    Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, 2003, 37 (10): : 1086 - 1089
  • [7] Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age
    Liu, HL
    Xu, HB
    Yu, JY
    Zhu, GT
    JOURNAL OF BIOLOGICAL SYSTEMS, 2006, 14 (01) : 43 - 51
  • [8] ASYMPTOTIC ANALYSIS OF A STOCHASTIC MODEL OF AN EPIDEMIC
    NAGAEV, AV
    STARTSEV, AN
    THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (01): : 98 - &
  • [9] Bifurcation analysis for a double age dependence epidemic model with two delays
    Soufiane Bentout
    Salih Djilali
    Tarik Mohammed Touaoula
    Anwar Zeb
    Abdon Atangana
    Nonlinear Dynamics, 2022, 108 : 1821 - 1835
  • [10] Bifurcation analysis for a double age dependence epidemic model with two delays
    Bentout, Soufiane
    Djilali, Salih
    Touaoula, Tarik Mohammed
    Zeb, Anwar
    Atangana, Abdon
    NONLINEAR DYNAMICS, 2022, 108 (02) : 1821 - 1835
12345