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

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 [Formula: see text]  > 1. In particular, we improv...

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Autores principales: Han, Qixing, Chen, Liang, Jiang, Daqing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5479838/
https://www.ncbi.nlm.nih.gov/pubmed/28638046
http://dx.doi.org/10.1038/s41598-017-03858-8
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author Han, Qixing
Chen, Liang
Jiang, Daqing
author_facet Han, Qixing
Chen, Liang
Jiang, Daqing
author_sort Han, Qixing
collection PubMed
description 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 [Formula: see text]  > 1. In particular, we improve the results obtained by previous studies greatly, condition in our Theorem is more concise and elegant.
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spelling pubmed-54798382017-06-23 A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate Han, Qixing Chen, Liang Jiang, Daqing Sci Rep Article 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 [Formula: see text]  > 1. In particular, we improve the results obtained by previous studies greatly, condition in our Theorem is more concise and elegant. Nature Publishing Group UK 2017-06-21 /pmc/articles/PMC5479838/ /pubmed/28638046 http://dx.doi.org/10.1038/s41598-017-03858-8 Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Han, Qixing
Chen, Liang
Jiang, Daqing
A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
title 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_short 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
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5479838/
https://www.ncbi.nlm.nih.gov/pubmed/28638046
http://dx.doi.org/10.1038/s41598-017-03858-8
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