Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination

被引：22
|
作者：
Wang, Panpan [1 ]
Jia, Jianwen [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfe, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
关键词：
Stochastic SIRD model; Ebola virus; Extinction; Stationary distribution; PERSISTENCE; EXTINCTION; THRESHOLD;
D O I：
10.1186/s13662-019-2352-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a stochastic SIRD model of Ebola with double saturated incidence rates and vaccination is considered. Firstly, the existence and uniqueness of a global positive solution are obtained. Secondly, by constructing suitable Lyapunov functions and using Khasminskii's theory, we show that the stochastic model has a unique stationary distribution. Moreover, the extinction of the disease is also analyzed. Finally, numerical simulations are carried out to portray the analytical results.
引用
收藏
页数：16
相关论文
共 50 条
  • [11] STATIONARY DISTRIBUTION OF STOCHASTIC SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE
    Zhao, Yanan
    Lin, Yuguo
    Jiang, Daqing
    Mao, Xuerong
    Li, Yong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (07): : 2363 - 2378
  • [12] A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction
    Zhao, Xin
    He, Xin
    Feng, Tao
    Qiu, Zhipeng
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (03)
  • [13] Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence
    Liu, Qun
    Jiang, Daqing
    CHAOS, 2017, 27 (08)
  • [14] Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
    Mahato, Prasenjit
    Mahato, Sanat Kumar
    Das, Subhashis
    Karmakar, Partha
    THEORY IN BIOSCIENCES, 2023, 142 (02) : 181 - 198
  • [15] Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
    Prasenjit Mahato
    Sanat Kumar Mahato
    Subhashis Das
    Partha Karmakar
    Theory in Biosciences, 2023, 142 : 181 - 198
  • [16] Stochastic analysis of a SIRI epidemic model with double saturated rates and relapse
    Zhang, Yan
    Gao, Shujing
    Chen, Shihua
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (05) : 2887 - 2912
  • [17] A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
    Han, Qixing
    Chen, Liang
    Jiang, Daqing
    SCIENTIFIC REPORTS, 2017, 7
  • [18] A Note on the Stationary Distribution of Stochastic SIS Epidemic Model with Vaccination Under Regime Switching
    Hu, Junna
    Li, Zhiming
    Zeng, Ting
    Teng, Zhidong
    FILOMAT, 2018, 32 (13) : 4773 - 4785
  • [19] Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Ahmad, Bashir
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 476 : 58 - 69
  • [20] The stationary distribution in a stochastic SIS epidemic model with general nonlinear incidence
    Wen, Buyu
    Rifhat, Ramziya
    Teng, Zhidong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 524 : 258 - 271
12345