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
  • [21] A fractional order SIR epidemic model with nonlinear incidence rate
    Abderrahim Mouaouine
    Adnane Boukhouima
    Khalid Hattaf
    Noura Yousfi
    Advances in Difference Equations, 2018
  • [22] Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation
    Qin, Wenjie
    Tang, Sanyi
    Cheke, Robert A.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [23] Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
    Hui, J
    Chen, LS
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 595 - 605
  • [24] Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
    Li, Xue-Zhi
    Li, Wen-Sheng
    Ghosh, Mini
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (01) : 141 - 150
  • [25] Optimal Control for a SIR Epidemic Model with Nonlinear Incidence Rate
    Grigorieva, E. V.
    Khailov, E. N.
    Korobeinikov, A.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2016, 11 (04) : 89 - 104
  • [26] A fractional order SIR epidemic model with nonlinear incidence rate
    Mouaouine, Abderrahim
    Boukhouima, Adnane
    Hattaf, Khalid
    Yousfi, Noura
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [27] Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules
    Zhang, Yue
    Li, Yang
    Zhang, Qingling
    Li, Aihua
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 501 : 178 - 187
  • [28] DYNAMICS OF AN IMPULSIVE STOCHASTIC SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE
    Cao, Wenjie
    Pan, Tao
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (04): : 1396 - 1415
  • [29] The long time behavior of DI SIR epidemic model with stochastic perturbation
    Jiang, Daqing
    Ji, Chunyan
    Shi, Ningzhong
    Yu, Jiajia
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 372 (01) : 162 - 180
  • [30] Global Stability of an SIR Epidemic Model with the Nonlinear Vaccination Rate
    Wang, Xiaoyan
    Yang, Junyuan
    Zhang, Fengqin
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 4, 2009, : 501 - 504
12345