A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate

Abstract The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided $${R}_{0}^{s}$$ R 0 s > 1. In particular...

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Autores principales:	Qixing Han, Liang Chen, Daqing Jiang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/1dae55032ffc488eb81fd24ea0e72447
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spelling	oai:doaj.org-article:1dae55032ffc488eb81fd24ea0e724472021-12-02T16:06:06ZA note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate10.1038/s41598-017-03858-82045-2322https://doaj.org/article/1dae55032ffc488eb81fd24ea0e724472017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03858-8https://doaj.org/toc/2045-2322Abstract The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided $${R}_{0}^{s}$$ R 0 s > 1. In particular, we improve the results obtained by previous studies greatly, condition in our Theorem is more concise and elegant.Qixing HanLiang ChenDaqing JiangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Qixing Han Liang Chen Daqing Jiang A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
description	Abstract The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided $${R}_{0}^{s}$$ R 0 s > 1. In particular, we improve the results obtained by previous studies greatly, condition in our Theorem is more concise and elegant.
format	article
author	Qixing Han Liang Chen Daqing Jiang
author_facet	Qixing Han Liang Chen Daqing Jiang
author_sort	Qixing Han
title	A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
title_short	A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
title_full	A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
title_fullStr	A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
title_full_unstemmed	A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
title_sort	note on the stationary distribution of stochastic seir epidemic model with saturated incidence rate
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/1dae55032ffc488eb81fd24ea0e72447
work_keys_str_mv	AT qixinghan anoteonthestationarydistributionofstochasticseirepidemicmodelwithsaturatedincidencerate AT liangchen anoteonthestationarydistributionofstochasticseirepidemicmodelwithsaturatedincidencerate AT daqingjiang anoteonthestationarydistributionofstochasticseirepidemicmodelwithsaturatedincidencerate AT qixinghan noteonthestationarydistributionofstochasticseirepidemicmodelwithsaturatedincidencerate AT liangchen noteonthestationarydistributionofstochasticseirepidemicmodelwithsaturatedincidencerate AT daqingjiang noteonthestationarydistributionofstochasticseirepidemicmodelwithsaturatedincidencerate
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A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate

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