Stochastic SIR model with jumps

被引：110
|
作者：
Zhang, Xianghua [1 ,2 ]
Wang, Ke [1 ,3 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] Heilongjiang Inst Sci & Technol, Coll Sci, Harbin 150027, Peoples R China
[3] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 08期
关键词：
Brownian motion; Global positive solution; Asymptotic behavior; Jump perturbation; EPIDEMIC MODEL; POPULATION-DYNAMICS; TIME-DELAY;
D O I：
10.1016/j.aml.2013.03.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
People have always attached importance to the prevention and the control of the epidemic disease. The study of the epidemic model provides us a powerful tool. Unfortunately the previous model cannot be applied to massive diseases, such as avian influenza. Therefore we need to revise the model. In this paper, we take the lead in using the stochastic differential equation with jumps to study the asymptotic behavior of the stochastic SIR model. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：867 / 874
页数：8
相关论文
共 50 条
  • [21] Stochastic analysis of cholera model with Lévy jumps
    Yang, Weiming
    Gan, Lu
    Liao, Shu
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [22] A stochastic model with jumps for smoking incorporating media coverage
    Coulibaly, Mohamed
    N'Zi, Modeste
    MATHEMATICAL MODELLING AND CONTROL, 2022, 2 (03): : 122 - 130
  • [23] Threshold behavior of a stochastic SIS model with Levy jumps
    Zhou, Yanli
    Yuan, Sanling
    Zhao, Dianli
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 : 255 - 267
  • [24] The threshold of a stochastic delayed SIR epidemic model with vaccination
    Liu, Qun
    Jiang, Daqing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 461 : 140 - 147
  • [25] On a stochastic generalized delayed SIR model with vaccination and treatment
    Markovic, Milica
    Krstic, Marija
    NONLINEARITY, 2023, 36 (12) : 7007 - 7024
  • [26] Long-time behavior of a stochastic SIR model
    Lin, Yuguo
    Jiang, Daqing
    Xia, Peiyan
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 1 - 9
  • [27] Bayesian inference for nonlinear stochastic SIR epidemic model
    El Maroufy, Hamid
    Kernane, Tewfik
    Becheket, Sidali
    Ouddadj, Abdellah
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2016, 86 (11) : 2229 - 2240
  • [28] A stochastic Hepatitis B model with infinite Lévy jumps
    Bertoune, Ayoub
    El Fatini, Mohamed
    El Khalifi, Mohamed
    Laaribi, Aziz
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 624
  • [29] Dynamic behavior of a stochastic SIQS epidemic model with Levy jumps
    Zhang, Xiao-Bing
    Shi, Qihong
    Ma, Shuang-Hong
    Huo, Hai-Feng
    Li, Dungang
    NONLINEAR DYNAMICS, 2018, 93 (03) : 1481 - 1493
  • [30] Stochastic mutualism model under regime switching with Levy jumps
    Gao, Hongjun
    Wang, Ying
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 515 : 355 - 375
12345