Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington-DeAngelis Incidence Rate

被引：3
|
作者：
Wang, Shan [1 ]
Peng, Youhua [1 ]
Wang, Feng [1 ,2 ]
机构：
[1] Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
EPIDEMIC MODEL; SATURATED INCIDENCE; THRESHOLD; PERMANENCE; EXTINCTION; DYNAMICS; SYSTEM;
D O I：
10.1155/2020/7181939
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A regime-switching SIRS model with Beddington-DeAngelis incidence rate is studied in this paper. First of all, the property that the model we discuss has a unique positive solution is proved and the invariant set is presented. Secondly, by constructing appropriate Lyapunov functionals, global stochastic asymptotic stability of the model under certain conditions is proved. Then, we leave for studying the asymptotic behavior of the model by presenting threshold values and some other conditions for determining disease extinction and persistence. The results show that stochastic noise can inhibit the disease and the behavior will have different phenomena owing to the role of regime-switching. Finally, some examples are given and numerical simulations are presented to confirm our conclusions.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Global insights into a stochastic SIRS epidemic model with Beddington-DeAngelis incidence rate
    Tang, Ruoshi
    Wang, Hao
    Qiu, Zhipeng
    Feng, Tao
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [2] Asymptotic Properties of a Stochastic SIR Epidemic Model with Beddington-DeAngelis Incidence Rate
    Nguyen Thanh Dieu
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (01) : 93 - 106
  • [3] The asymptotic behavior of a chemostat model with the Beddington-DeAngelis functional response
    Que, ZP
    Jun, Y
    Yun, Z
    MATHEMATICAL BIOSCIENCES, 2004, 187 (02) : 175 - 187
  • [4] Asymptotic properties of a stochastic SIQR epidemic model with Levy Jumps and Beddington-DeAngelis incidence rate
    El Koufi, Amine
    Bennar, Abdelkrim
    El Koufi, Nouhaila
    Yousfi, Noura
    RESULTS IN PHYSICS, 2021, 27
  • [5] Asymptotic behavior and threshold of a stochastic SIQS epidemic model with vertical transmission and Beddington-DeAngelis incidence
    Chen, Yang
    Zhao, Wencai
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [6] Asymptotic behavior of a stochastic HIV model with Beddington-DeAngelis functional response
    Wang, Suxia
    Zhao, Juan
    Zhu, Junxing
    Ren, Xiaoli
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [7] Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response
    Wang, Xia
    Tao, Youde
    Song, Xinyu
    NONLINEAR DYNAMICS, 2011, 66 (04) : 825 - 830
  • [8] Extinction and permanence in a stochastic SIRS model in regime-switching with general incidence rate
    Tuong, T. D.
    Nguyen, Dang H.
    Dieu, N. T.
    Tran, Ky
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 34 : 121 - 130
  • [9] The threshold of a stochastic SIRS epidemic model with general incidence rate under regime-switching
    Kuang, Daipeng
    Yin, Qian
    Li, Jianli
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (17): : 13624 - 13647
  • [10] The threshold for a stochastic HIV-1 infection model with Beddington-DeAngelis incidence rate
    Ji, Chunyan
    APPLIED MATHEMATICAL MODELLING, 2018, 64 : 168 - 184
12345