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
  • [41] 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
  • [42] An SEIR Epidemic Model with Relapse and General Nonlinear Incidence Rate with Application to Media Impact
    Wang, Lianwen
    Zhang, Xingan
    Liu, Zhijun
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018, 17 (02) : 309 - 329
  • [43] An SEIR Epidemic Model with Relapse and General Nonlinear Incidence Rate with Application to Media Impact
    Lianwen Wang
    Xingan Zhang
    Zhijun Liu
    Qualitative Theory of Dynamical Systems, 2018, 17 : 309 - 329
  • [44] 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
  • [45] The threshold dynamics in a stochastic SIS epidemic model with vaccination and nonlinear incidence under regime switching
    Hu, Junna
    Teng, Zhidong
    Li, Zhiming
    Wen, Buyu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 529
  • [46] Global dynamics of an epidemic model with relapse and nonlinear incidence
    Chen, Yuming
    Li, Jianquan
    Zou, Shaofen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (04) : 1283 - 1291
  • [47] The Threshold of a Stochastic SIRS Epidemic Model with a General Incidence
    Lakhal, Mohammed
    El Guendouz, Tarik
    Taki, Regragui
    El Fatini, Mohamed
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (04)
  • [48] The Threshold of a Stochastic SIQR Epidemic Model with Levy Jumps
    Kiouach, Driss
    Sabbar, Yassine
    TRENDS IN BIOMATHEMATICS: MATHEMATICAL MODELING FOR HEALTH, HARVESTING, AND POPULATION DYNAMICS, 2019, : 87 - 105
  • [49] 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
  • [50] The threshold of a stochastic delayed SIR epidemic model with vaccination
    Liu, Qun
    Jiang, Daqing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 461 : 140 - 147
12345