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
  • [1] Asymptotic Dynamics of a Stochastic SIR Epidemic System Affected by Mixed Nonlinear Incidence Rates
    Han, Ping
    Chang, Zhengbo
    Meng, Xinzhu
    COMPLEXITY, 2020, 2020
  • [2] 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,
  • [3] Qualitative Study of a Nonlinear Stochastic SIRS Epidemic System
    Lahrouz, Aadil
    Settati, Adel
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2014, 32 (06) : 992 - 1008
  • [4] Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation
    Lin, Yuguo
    Jiang, Daqing
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [5] 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
  • [6] Permanence and extinction for the stochastic SIR epidemic model
    Du, N. H.
    Nhu, N. N.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (11) : 9619 - 9652
  • [7] Multigroup SIR epidemic model with stochastic perturbation
    Ji, Chunyan
    Jiang, Daqing
    Shi, Ningzhong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (10) : 1747 - 1762
  • [8] Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations
    Zhou, Baoquan
    Han, Bingtao
    Jiang, Daqing
    CHAOS SOLITONS & FRACTALS, 2021, 152
  • [9] Stochastic stability and instability of an epidemic model with relapse
    El Fatini, Mohamed
    Lahrouz, Aadil
    Pettersson, Roger
    Settati, Adel
    Taki, Regragui
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 316 : 326 - 341
  • [10] Dynamics of a multigroup SIR epidemic model with stochastic perturbation
    Ji, Chunyan
    Jiang, Daqing
    Yang, Qingshan
    Shi, Ningzhong
    AUTOMATICA, 2012, 48 (01) : 121 - 131
12345