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
  • [31] Dynamic behaviors and non-instantaneous impulsive vaccination of an SAIQR model on complex networks
    Fu, Xinjie
    Wang, Jinrong
    APPLIED MATHEMATICS AND COMPUTATION, 2024, 465
  • [32] Basic reprodutive number of impulsive SIR epidemic models with time delay
    Gao, Shujing
    Xie, Dehui
    Zhong, Qi
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 10 - 13
  • [33] The effect of time delay on the dynamics of a fractional-order epidemic model
    Wu, Wanqin
    Zhou, Jianwen
    Li, Zhixiang
    Tan, Xuewen
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2025, 2025 (01):
  • [34] Mathematical and dynamic analysis of an ecological model with an impulsive control strategy and distributed time delay
    Yu, Hengguo
    Zhong, Shouming
    Ye, Mao
    Chen, Wufan
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (11-12) : 1622 - 1635
  • [35] Permanence and extinction for a nonautonomous SIRS epidemic model with time delay
    Zhang, Tailei
    Teng, Zhidong
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (02) : 1058 - 1071
  • [36] A non-autonomous epidemic model with time delay and vaccination
    Zhang, Tailei
    Liu, Junli
    Teng, Zhidong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (01) : 1 - 11
  • [37] Global behavior and permanence of SIRS epidemic model with time delay
    Zhang, Tailei
    Teng, Zhidong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) : 1409 - 1424
  • [38] Dynamic analysis of a pest-epidemic model with impulsive control
    Pang, Guoping
    Chen, Lansun
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (01) : 72 - 84
  • [39] EFFECT OF AWARENESS PROGRAMS IN CONTROLLING THE PREVALENCE OF AN EPIDEMIC WITH TIME DELAY
    Misra, A. K.
    Sharma, Anupama
    Singh, Vishal
    JOURNAL OF BIOLOGICAL SYSTEMS, 2011, 19 (02) : 389 - 402
  • [40] Dynamic Behaviors of n-species Impulsive Competitive System
    Yao, Zhijian
    Xie, Shengli
    Yu, Nengfu
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2014, 15 (06) : 347 - 363