The Dynamic Behaviors of An Epidemic Diseases Model with Time Delay and Impulsive Effect

被引:0
|
作者
Xiang, Zhongyi [1 ]
机构
[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
来源
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词
epidemic model; permanence; time delay; pulse vaccination;
D O I
暂无
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A delayed epidemic model with pulse vaccination and varying total population size is considered. By a method of difference inequality, it is shown that the above system is permanent under some propriate conditions.
引用
收藏
页码:554 / 557
页数:4
相关论文
共 50 条
  • [1] Global dynamical behaviors for an sir epidemic model with time delay and pulse vaccination
    Meng, Xinzhu
    Chen, Lansun
    TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (05): : 1107 - 1122
  • [2] Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate
    Zhao, Zhong
    Chen, Lansun
    Song, Xinyu
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (03) : 500 - 510
  • [3] Dynamic behaviour for a nonautonomous heroin epidemic model with time delay
    Samanta, G. P.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2011, 35 (1-2) : 161 - 178
  • [4] Nonlinear modelling of chemostat model with time delay and impulsive effect
    Zhao, Zhong
    Zhang, Xiuquan
    Chen, Lansun
    NONLINEAR DYNAMICS, 2011, 63 (1-2) : 95 - 104
  • [5] Nonlinear modelling of chemostat model with time delay and impulsive effect
    Zhong Zhao
    Xiuquan Zhang
    Lansun Chen
    Nonlinear Dynamics, 2011, 63 : 95 - 104
  • [6] Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay
    Sekiguchi, Masaki
    Ishiwata, Emiko
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 236 (06) : 997 - 1008
  • [7] Effect of time delay on pattern dynamics in a spatial epidemic model
    Wang, Yi
    Cao, Jinde
    Sun, Gui-Quan
    Li, Jing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 412 : 137 - 148
  • [8] Pattern formations of an epidemic model with Allee effect and time delay
    Wu, Zeyan
    Li, Jianjuan
    Li, Jing
    Liu, Shuying
    Zhou, Liuting
    Luo, Yang
    CHAOS SOLITONS & FRACTALS, 2017, 104 : 599 - 606
  • [9] An epidemic model with a time delay in transmission
    Q. J. A. Khan
    E. V. Krishnan
    Applications of Mathematics, 2003, 48 (3) : 193 - 203
  • [10] The effect of impulsive vaccination on an SIR epidemic model
    Shi, Ruiqing
    Jiang, Xiaowu
    Chen, Lansun
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 212 (02) : 305 - 311