The Power of Delay on a Stochastic Epidemic Model in a Switching Environment

被引：5
|
作者：
El Koufi, Amine [1 ]
机构：
[1] Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955, Casablanca, Morocco
来源：
COMPLEXITY | 2022年 / 2022卷
关键词：
STATIONARY DISTRIBUTION; MEDIA COVERAGE; INTERFERENCE; VACCINATION; DYNAMICS; SYSTEMS; DISEASE;
D O I：
10.1155/2022/5121636
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In recent years, the world knew many challenges concerning the propagation of infectious diseases such as avian influenza, Ebola, SARS-CoV-2, etc. These epidemics caused a change in the healthy balance of humanity. Also, the epidemics disrupt the economies and social activities of countries around the world. Mathematical modeling is a vital means to represent and control the propagation of infectious diseases. In this paper, we consider a stochastic epidemic model with a Markov process and delay, which generalizes many models existing in the literature. In addition, we show the stochastic threshold for the extinction of the disease. Furthermore, numerical examples are discussed to confirm the theoretical result.
引用
收藏
页数：9
相关论文
共 50 条
  • [41] Stochastic SIRC epidemic model with time-delay for COVID-19
    Rihan, F. A.
    Alsakaji, H. J.
    Rajivganthi, C.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [42] Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching
    Gao, Qiaoqin
    Luo, Zhijiang
    Liu, Guirong
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
  • [43] Dynamics of a stochastic predator-prey model with distributed delay and Markovian switching
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [44] Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise
    Yingjia Guo
    [J]. Advances in Difference Equations, 2017
  • [45] A Note on the Stationary Distribution of Stochastic SIS Epidemic Model with Vaccination Under Regime Switching
    Hu, Junna
    Li, Zhiming
    Zeng, Ting
    Teng, Zhidong
    [J]. FILOMAT, 2018, 32 (13) : 4773 - 4785
  • [46] Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching
    Qingteng Lin
    Lijing Chen
    Chunlan Wen
    Fengying Wei
    [J]. Advances in Difference Equations, 2018
  • [47] Longtime characterization for the general stochastic epidemic SIS model under regime-switching
    Nguyen Dinh Phu
    O'Regan, Donal
    Tran Dinh Tuong
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 38
  • [48] Seir epidemic model with delay
    Yan, Ping
    Liu, Shengqiang
    [J]. ANZIAM JOURNAL, 2006, 48 : 119 - 134
  • [49] ON A SEIR EPIDEMIC MODEL WITH DELAY
    Roest, Gergely
    Huang, Shao Yuan
    Szekely, Laszlo
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (01): : 33 - 47
  • [50] Dynamic behavior and sliding mode control on a stochastic epidemic model with alertness and distributed delay
    Zhang, Yue
    Wu, Xiju
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 124
12345