The impact of nonlinear relapse and reinfection to derive a stochastic threshold for SIRI epidemic model

被引：15
|
作者：
Settati, A. [1 ]
Lahrouz, A. [1 ]
Assadouq, A. [1 ]
El Fatini, M. [2 ]
El Jarroudi, M. [1 ]
Wang, K. [3 ]
机构：
[1] FST, Dept Math, LMA, BP 416 Tanger Principale, Tanger, Morocco
[2] Ibn Tofail Univ, FS, Dept Math, BP 133, Kenitra, Morocco
[3] Anhui Univ Finance & Econ, Dept Appl Math, Bengbu 233030, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 137卷
关键词：
STATIONARY DISTRIBUTION; EXTINCTION; STABILITY;
D O I：
10.1016/j.chaos.2020.109897
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we introduce a stochastic SIRI epidemic model with nonlinear relapse. We give sufficient conditions for extinction and persistence of the disease. We also study the existence of a stationary distribution and the ergodicity of the solutions. As a special case of our results that under some conditions on noise intensities, we obtain the threshold Rβ for the disease. Finally, we provide some computer simulations to illustrate our theoretical findings. © 2020 Elsevier Ltd
引用
收藏
页数：8
相关论文
共 50 条
  • [31] The threshold of a stochastic SIQS epidemic model
    Pang, Yanni
    Han, Yuecai
    Li, Wenjin
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [32] The threshold of a stochastic SIS epidemic model with imperfect vaccination
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 144 : 78 - 90
  • [33] Threshold of a stochastic SIR epidemic model with Levy jumps
    Zhou, Yanli
    Zhang, Weiguo
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 446 : 204 - 216
  • [34] 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
  • [35] Threshold Analysis of a Stochastic SIRS Epidemic Model with Logistic Birth and Nonlinear Incidence
    Wang, Huyi
    Zhang, Ge
    Chen, Tao
    Li, Zhiming
    MATHEMATICS, 2023, 11 (07)
  • [36] Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination
    Wang, Lei
    Teng, Zhidong
    Tang, Tingting
    Li, Zhiming
    COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2017, 2017
  • [37] The threshold of a stochastic Susceptible-Infective epidemic model under regime switching
    Liu, Qun
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 21 : 49 - 58
  • [38] The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size
    Zhang, Xiao-Bing
    Zhang, Xiao-Hong
    APPLIED MATHEMATICAL MODELLING, 2021, 91 : 749 - 767
  • [39] Dynamical behaviors of an SIRI epidemic model with nonlinear incidence and latent period
    Guo, Peng
    Yang, Xinsong
    Yang, Zhichun
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [40] Periodic Solution and Ergodic Stationary Distribution of Stochastic SIRI Epidemic Systems with Nonlinear Perturbations
    Zhang Weiwei
    Meng Xinzhu
    Dong Yulin
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 32 (04) : 1104 - 1124
12345