A Stochastic SIR Epidemic System with a Nonlinear Relapse

被引：3
|
作者：
El Myr, Ali [1 ]
Assadouq, Abdelaziz [2 ]
Omari, Lahcen [1 ]
Settati, Adel [2 ]
Lahrouz, Aadil [1 ]
机构：
[1] Fac Sci Dhar Mehraz, Dept Math, Lab Comp Sci Modeling & Syst, BP 1796 Atlas, Fes, Morocco
[2] Fac Sci & Tech, Dept Math, Lab Math & Applicat, BP 416 Tanger Principale, Tanger, Morocco
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷
关键词：
MODEL; STABILITY;
D O I：
10.1155/2018/5493270
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the conditions that control the extinction and the existence of a unique stationary distribution of a nonlinear mathematical spread model with stochastic perturbations in a population of varying size with relapse. Numerical simulations are carried out to illustrate the theoretical results.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Stability analysis of a time delayed SIR epidemic model with nonlinear incidence rate
    Naresh, Ram
    Tripathi, Agraj
    Tchuenche, J. M.
    Sharma, Dileep
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (02) : 348 - 359
  • [42] Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate
    Tang, Xiangyu
    Chen, Yujuan
    JOURNAL OF MATHEMATICS, 2024, 2024
  • [43] Periodic solution and stationary distribution of stochastic SIR epidemic models with higher order perturbation
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Ahmad, Bashir
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 482 : 209 - 217
  • [44] Asymptotic Properties of a Stochastic SIR Epidemic Model with Beddington-DeAngelis Incidence Rate
    Nguyen Thanh Dieu
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (01) : 93 - 106
  • [45] SIR Epidemic Model with General Nonlinear Incidence Rate and Lévy Jumps
    Li, Shuang
    MATHEMATICS, 2024, 12 (02)
  • [46] The periodic traveling waves in a diffusive periodic SIR epidemic model with nonlinear incidence
    Wu, Weixin
    Teng, Zhidong
    CHAOS SOLITONS & FRACTALS, 2021, 144
  • [47] Lévy noise impact on a stochastic epidemic model with healing, relapse and vaccination
    Abdeslami, Mohamed Mouad
    Basri, Layla
    Caraballo, Tomas
    El Fatini, Mohamed
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [48] Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
    Xu, Rui
    Ma, Zhien
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 3175 - 3189
  • [49] 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
  • [50] Poisson integral type quarantine in a stochastic SIR system
    Vlasic, Andrew
    Day, Troy
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2020, 17 (05) : 5534 - 5544
12345