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
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
  • [1] 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
  • [2] Asymptotic Dynamics of a Stochastic SIR Epidemic System Affected by Mixed Nonlinear Incidence Rates
    Han, Ping
    Chang, Zhengbo
    Meng, Xinzhu
    COMPLEXITY, 2020, 2020
  • [3] A Stochastic SIR Epidemic with Nonlinear Power Functions and Logistic Growth
    Aznague, Soulaimane
    Harchaoui, Bilal
    Brahim, Abdeladim Nait
    Settati, Adel
    Lahrouz, Aadil
    Amtout, Tarik
    El Idrissi, Mourad
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2024,
  • [4] The Dynamics of a Stochastic SIR Epidemic Model with Nonlinear Incidence and Vertical Transmission
    Li, Guihua
    Liu, Yuanhang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
  • [5] Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 40 : 89 - 99
  • [6] Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation
    Lin, Yuguo
    Jiang, Daqing
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [7] A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena
    Adil El Haitami
    Adel Settati
    Aadil Lahrouz
    Mourad El Idrissi
    Mhamed El Merzguioui
    International Journal of Dynamics and Control, 2024, 12 : 1287 - 1301
  • [8] A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena
    El Haitami, Adil
    Settati, Adel
    Lahrouz, Aadil
    El Idrissi, Mourad
    El Merzguioui, Mhamed
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (05) : 1287 - 1301
  • [9] Ergodic stationary distribution of a stochastic nonlinear epidemic model with relapse and cure
    Wang, Li-li
    Huang, Nan-jing
    APPLICABLE ANALYSIS, 2022, 101 (07) : 2652 - 2668
  • [10] The impact of nonlinear relapse and reinfection to derive a stochastic threshold for SIRI epidemic model
    Settati, A.
    Lahrouz, A.
    Assadouq, A.
    El Fatini, M.
    El Jarroudi, M.
    Wang, K.
    CHAOS SOLITONS & FRACTALS, 2020, 137