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
  • [21] Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence
    Tang, Tingting
    Teng, Zhidong
    Li, Zhiming
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2015, 33 (06) : 994 - 1019
  • [22] Ergodicity and stationary distribution of a stochastic SIRI epidemic model with logistic birth and saturated incidence rate
    Mdaghri, Aiman
    Lakhal, Mohammed
    Taki, Regragui
    El Fatini, Mohamd
    JOURNAL OF ANALYSIS, 2024, 32 (06) : 3249 - 3276
  • [23] A Stochastic SIR Epidemic System with a Nonlinear Relapse
    El Myr, Ali
    Assadouq, Abdelaziz
    Omari, Lahcen
    Settati, Adel
    Lahrouz, Aadil
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [24] Long-time behavior and quasi-density function for a stochastic epidemic model with relapse and reinfection
    Benazzouz, Meryem
    Basri, Layla
    El Fatini, Mohamed
    Laaribi, Aziz
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [25] THRESHOLD OF A STOCHASTIC SIQS EPIDEMIC MODEL WITH ISOLATION
    Nguyen Thanh Dieu
    Vu Hai Sam
    Nguyen Huu Du
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, : 5009 - 5028
  • [26] A stochastic SIRS epidemic model with nonlinear incidence rate
    Cai, Yongli
    Kang, Yun
    Wang, Weiming
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 305 : 221 - 240
  • [27] 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
  • [28] Dynamical behavior of a higher order stochastically perturbed SIRI epidemic model with relapse and media coverage
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    Ahmad, Bashir
    CHAOS SOLITONS & FRACTALS, 2020, 139
  • [29] Ergodic property, extinction, and density function of an SIRI epidemic model with nonlinear incidence rate and high-order stochastic perturbations
    Zhou, Baoquan
    Jiang, Daqing
    Dai, Yucong
    Hayat, Tasawar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (03) : 1513 - 1537
  • [30] The threshold of a stochastic SIQS epidemic model
    Yanni Pang
    Yuecai Han
    Wenjin Li
    Advances in Difference Equations, 2014
12345