Asymptotic behavior of an SI epidemic model with pulse removal

被引：13
|
作者：
Fuhrman, KM [1 ]
Lauko, IG [1 ]
Pinter, GA [1 ]
机构：
[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 3-4期
关键词：
epidemiology; asymptotic behavior; impulsive differential equations;
D O I：
10.1016/j.mcm.2003.10.047
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we discuss an SI epidemic model with pulse removal from the infective class at fixed time intervals with both exponential and logistic type underlying population dynamics. This model has significance when dealing with animal diseases with no recovery, or when we consider isolation in human diseases. We provide a rigorous analysis of the asymptotic behavior of the percentage of infected individuals, the total number of infected individuals, and the total population in our model. We show that periodic removal/isolation is a feasible strategy to control the spread of the disease. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：371 / 386
页数：16
相关论文
共 50 条
  • [1] The Asymptotic Behavior of Stochastic SIQR Epidemic Model
    Li, Ying-Hong
    Guan, Li-Hong
    INTERNATIONAL CONFERENCE ON MECHANICS, BUILDING MATERIAL AND CIVIL ENGINEERING (MBMCE 2015), 2015, : 117 - 122
  • [2] On the asymptotic behavior of a diffusive epidemic model (AIDS)
    Hamaya, Y
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (06) : 685 - 696
  • [3] ASYMPTOTIC-BEHAVIOR IN A DETERMINISTIC EPIDEMIC MODEL
    HETHCOTE, HW
    BULLETIN OF MATHEMATICAL BIOLOGY, 1973, 35 (5-6) : 607 - 614
  • [4] Asymptotic behavior of an SEI epidemic model with diffusion
    Kim, Kwang Ik
    Lin, Zhigui
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (11-12) : 1314 - 1322
  • [5] Asymptotic behavior of an epidemic model with infinitely many variants
    Jean-Baptiste Burie
    Arnaud Ducrot
    Quentin Griette
    Journal of Mathematical Biology, 2023, 87
  • [6] Boundedness and asymptotic behavior of solutions for a diffusive epidemic model
    Touil, Asma
    Youkana, Amar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (04) : 970 - 978
  • [7] Asymptotic behavior of an SEIR epidemic model with quadratic treatment
    He Y.
    Gao S.
    Lv H.
    Liu Y.
    Gao, S. (gaosjmath@126.com), 1600, Springer Verlag (42): : 245 - 257
  • [8] Classification of asymptotic behavior in a stochastic SEIR epidemic model
    Jin, Manli
    Lin, Yuguo
    APPLIED MATHEMATICS LETTERS, 2021, 118
  • [9] The asymptotic behavior of a stochastic SIS epidemic model with vaccination
    Yanan Zhao
    Qiumei Zhang
    Daqing Jiang
    Advances in Difference Equations, 2015
  • [10] Asymptotic behavior for an SIS epidemic model and its approximation
    Iannelli, M
    Kim, MY
    Park, EJ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (07) : 797 - 814
12345