Dynamics of hybrid switching DS-I-A epidemic model

In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stoch...

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Detalles Bibliográficos
Autores principales: Liu, Songnan, Jiang, Daqing, Xu, Xiaojie, Hayat, Tasawar, Ahmad, Bashir
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/PMC5615109/
https://www.ncbi.nlm.nih.gov/pubmed/28951546
http://dx.doi.org/10.1038/s41598-017-11901-x
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author Liu, Songnan
Jiang, Daqing
Xu, Xiaojie
Hayat, Tasawar
Ahmad, Bashir
author_facet Liu, Songnan
Jiang, Daqing
Xu, Xiaojie
Hayat, Tasawar
Ahmad, Bashir
author_sort Liu, Songnan
collection PubMed
description In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stochastic Lyapunov functions. At last, some examples and simulations are provided to illustrate our results.
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spelling pubmed-56151092017-10-11 Dynamics of hybrid switching DS-I-A epidemic model Liu, Songnan Jiang, Daqing Xu, Xiaojie Hayat, Tasawar Ahmad, Bashir Sci Rep Article In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stochastic Lyapunov functions. At last, some examples and simulations are provided to illustrate our results. Nature Publishing Group UK 2017-09-26 /pmc/articles/PMC5615109/ /pubmed/28951546 http://dx.doi.org/10.1038/s41598-017-11901-x 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
Liu, Songnan
Jiang, Daqing
Xu, Xiaojie
Hayat, Tasawar
Ahmad, Bashir
Dynamics of hybrid switching DS-I-A epidemic model
title Dynamics of hybrid switching DS-I-A epidemic model
title_full Dynamics of hybrid switching DS-I-A epidemic model
title_fullStr Dynamics of hybrid switching DS-I-A epidemic model
title_full_unstemmed Dynamics of hybrid switching DS-I-A epidemic model
title_short Dynamics of hybrid switching DS-I-A epidemic model
title_sort dynamics of hybrid switching ds-i-a epidemic model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5615109/
https://www.ncbi.nlm.nih.gov/pubmed/28951546
http://dx.doi.org/10.1038/s41598-017-11901-x
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AT hayattasawar dynamicsofhybridswitchingdsiaepidemicmodel
AT ahmadbashir dynamicsofhybridswitchingdsiaepidemicmodel

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