A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena

被引：3
|
作者：
El Haitami, Adil [1 ]
Settati, Adel [1 ]
Lahrouz, Aadil [1 ]
El Idrissi, Mourad [1 ]
El Merzguioui, Mhamed [1 ]
机构：
[1] Abdelmalek Essaadi Univ, Lab Math & applicat, FSTT, Tetouan, Morocco
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 05期
关键词：
Stochastic epidemic model; SIRI epidemic model; Markovian switching; Extinction; Persistence in mean; Stationary distribution; ASYMPTOTIC PROPERTIES; POPULATION-DYNAMICS; GLOBAL STABILITY;
D O I：
10.1007/s40435-023-01256-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study aims to analyze the dynamic behaviors of a stochastic SIRI epidemic model with nonlinear relapse under regime switching. We present the necessary conditions for both disease extinction and persistence, and determine the criteria for the existence of stationary distribution in our model during regime switching. Furthermore, we validate our theoretical findings through computer simulations. The results of this research can enhance our comprehension of epidemic models and assist in the development of effective disease control strategies.
引用
收藏
页码：1287 / 1301
页数：15
相关论文
共 50 条
  • [41] A control treatment for a stochastic epidemic model with relapse and Crowly-Martin incidence
    El Fatini, M.
    Sekkak, I
    Taki, R.
    El Guendouz, T.
    JOURNAL OF ANALYSIS, 2021, 29 (03): : 713 - 729
  • [42] Stochastic analysis of a novel nonautonomous periodic SIRI epidemic system with random disturbances
    Zhang, Weiwei
    Meng, Xinzhu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1290 - 1301
  • [43] Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate
    Wang, Xinghao
    Zhang, Liang
    Zhang, Xiao-Bing
    SYMMETRY-BASEL, 2024, 16 (04):
  • [44] Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model
    Lahrouz, A.
    Omari, L.
    Kiouach, D.
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2011, 16 (01): : 59 - 76
  • [45] The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
    Li, Dan
    Cui, Jing'an
    Liu, Meng
    Liu, Shengqiang
    BULLETIN OF MATHEMATICAL BIOLOGY, 2015, 77 (09) : 1705 - 1743
  • [46] The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
    Dan Li
    Jing’an Cui
    Meng Liu
    Shengqiang Liu
    Bulletin of Mathematical Biology, 2015, 77 : 1705 - 1743
  • [47] The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence
    Zhao, Dianli
    Zhang, Tiansi
    Yuan, Sanling
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 443 : 372 - 379
  • [48] The effect of stochastic perturbation on a nonlinear delay malaria epidemic model
    Krstic, Marija
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2011, 82 (04) : 558 - 569
  • [49] Dynamic Analysis of Nonlinear Stochastic ROTA Virus Epidemic Model
    Rana S.
    Chatterjee A.N.
    Al Basir F.
    International Journal of Applied and Computational Mathematics, 2024, 10 (2)
  • [50] The Dynamical Behaviors in a Stochastic SIS Epidemic Model with Nonlinear Incidence
    Rifhat, Ramziya
    Ge, Qing
    Teng, Zhidong
    COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2016, 2016
12345