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

被引：24

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

页数：16

共 50 条

[21] The stationary distribution in a stochastic SIS epidemic model with general nonlinear incidence [J].

Wen, Buyu ;

Rifhat, Ramziya ;

Teng, Zhidong .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 524 :258-271

[22] Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules [J].

Zhang, Yue ;

Li, Yang ;

Zhang, Qingling ;

Li, Aihua .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 501 :178-187

[23] Stochastic analysis of a SIRI epidemic model with double saturated rates and relapse [J].

Yan Zhang ;

Shujing Gao ;

Shihua Chen .

Journal of Applied Mathematics and Computing, 2022, 68 :2887-2912

[24] Dynamic analysis of a stochastic SVEIR epidemic model with saturated incidence and partial vaccination [J].

Lu, Yanling ;

Wang, Haixia ;

Meng, Ziyi .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,

[25] The threshold of a stochastic SIRS epidemic model with saturated incidence [J].

Zhao, Yanan ;

Jiang, Daqing .

APPLIED MATHEMATICS LETTERS, 2014, 34 :90-93

[26] Dynamics of a stochastic SIR epidemic model with saturated incidence [J].

Liu, Qun ;

Chen, Qingmei .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 282 :155-166

[27] Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence [J].

Liu, Qun ;

Jiang, Daqing ;

Shi, Ningzhong ;

Hayat, Tasawar ;

Alsaedi, Ahmed .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 469 :510-517

[28] Dynamics of a delayed stochastic epidemic model with double epidemic hypothesis and saturated incidence [J].

Li, Hengqian ;

Guo, Xiurong .

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 2023, 26 (11) :1250-1271

[29] The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence [J].

Zhao, Dianli ;

Zhang, Tiansi ;

Yuan, Sanling .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 443 :372-379

[30] Extinction and stationary distribution of an epidemic model with partial vaccination and nonlinear incidence rate [J].

Wei, Fengying ;

Chen, Lihong .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 545

← 1 2 3 4 5 →