Stochastic SIRI Epidemic Model With Global Incidence Rate And Relapse

被引：0
|
作者：
Bilal Harchaoui [1 ]
Saloua Boutouil [1 ]
Adel Settati [1 ]
Aadil Lahrouz [1 ]
Mourad El Idrissi [1 ]
Mustapha El Jarroudi [1 ]
机构：
[1] FSTT,Laboratory of mathematics and applications
[2] Abdelmalek Essaadi University,undefined
来源：
International Journal of Applied and Computational Mathematics | 2024年 / 10卷 / 6期
关键词：
Epidemic model; Global stability; Extinction; Persistence; Stationary distribution;
D O I：
10.1007/s40819-024-01791-9
中图分类号：
学科分类号：
摘要：
We present a stochastic SIRI model with non-linear relapse and a global incidence rate g(S)I. Some verifiable sufficient conditions are established to ensure extinction and persistence. We also demonstrate the existence of a stationary distribution. Finally, we show some computer simulation examples to illustrate the theoretical findings.
引用
收藏
相关论文
共 50 条
  • [41] Threshold dynamics of a stochastic SIS epidemic model with nonlinear incidence rate
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 526
  • [42] Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate
    Ramziya Rifhat
    Zhidong Teng
    Chunxia Wang
    Advances in Difference Equations, 2021
  • [43] 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
  • [44] THRESHOLD DYNAMICS IN A STOCHASTIC SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE
    Zhao, Yanan
    Zhang, Xiaoying
    O'Regan, Donal
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (06): : 2096 - 2110
  • [45] The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model
    Lahrouz, Aadil
    Settati, Adel
    El Fatini, Mohamed
    Tridane, Abdessamad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) : 1137 - 1146
  • [46] Dynamical behaviors of an SIRI epidemic model with nonlinear incidence and latent period
    Peng Guo
    Xinsong Yang
    Zhichun Yang
    Advances in Difference Equations, 2014
  • [47] 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
  • [48] Dynamical behaviors of an SIRI epidemic model with nonlinear incidence and latent period
    Guo, Peng
    Yang, Xinsong
    Yang, Zhichun
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [49] Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
    Miao, Anqi
    Wang, Xinyang
    Zhang, Tongqian
    Wang, Wei
    Pradeep, B. G. Sampath Aruna
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [50] Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
    Anqi Miao
    Xinyang Wang
    Tongqian Zhang
    Wei Wang
    BG Sampath Aruna Pradeep
    Advances in Difference Equations, 2017
12345