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

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

Abstract 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 sho...

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Main Authors: Panpan Wang, Jianwen Jia
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
Stochastic SIRD model
Ebola virus
Extinction
Stationary distribution
Online Access:http://link.springer.com/article/10.1186/s13662-019-2352-5
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spelling doaj-48577fb3c738465599c67c56c2a8e8622020-11-25T03:57:45ZengSpringerOpenAdvances in Difference Equations1687-18472019-10-012019111610.1186/s13662-019-2352-5Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccinationPanpan Wang0Jianwen Jia1School of Mathematical and Computer Science, Shanxi Normal UniversitySchool of Mathematical and Computer Science, Shanxi Normal UniversityAbstract 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.http://link.springer.com/article/10.1186/s13662-019-2352-5Stochastic SIRD modelEbola virusExtinctionStationary distribution
collection DOAJ
language English
format Article
sources DOAJ
author Panpan Wang
Jianwen Jia
spellingShingle Panpan Wang
Jianwen Jia
Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination
Advances in Difference Equations
Stochastic SIRD model
Ebola virus
Extinction
Stationary distribution
author_facet Panpan Wang
Jianwen Jia
author_sort Panpan Wang
title Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination
title_short Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination
title_full Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination
title_fullStr Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination
title_full_unstemmed Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination
title_sort stationary distribution of a stochastic sird epidemic model of ebola with double saturated incidence rates and vaccination
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-10-01
description Abstract 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.
topic Stochastic SIRD model
Ebola virus
Extinction
Stationary distribution
url http://link.springer.com/article/10.1186/s13662-019-2352-5
work_keys_str_mv AT panpanwang stationarydistributionofastochasticsirdepidemicmodelofebolawithdoublesaturatedincidenceratesandvaccination
AT jianwenjia stationarydistributionofastochasticsirdepidemicmodelofebolawithdoublesaturatedincidenceratesandvaccination
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