Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination

A stochastic SIR model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced. Our results show that large noise can lead t...

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Autores principales: Miao, Anqi, Zhang, Jian, Zhang, Tongqian, Pradeep, B. G. Sampath Aruna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2017
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5518526/
https://www.ncbi.nlm.nih.gov/pubmed/28761501
http://dx.doi.org/10.1155/2017/4820183
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author Miao, Anqi
Zhang, Jian
Zhang, Tongqian
Pradeep, B. G. Sampath Aruna
author_facet Miao, Anqi
Zhang, Jian
Zhang, Tongqian
Pradeep, B. G. Sampath Aruna
author_sort Miao, Anqi
collection PubMed
description A stochastic SIR model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced. Our results show that large noise can lead to the extinction of infectious diseases which is conducive to epidemic diseases control.
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spelling pubmed-55185262017-07-31 Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination Miao, Anqi Zhang, Jian Zhang, Tongqian Pradeep, B. G. Sampath Aruna Comput Math Methods Med Research Article A stochastic SIR model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced. Our results show that large noise can lead to the extinction of infectious diseases which is conducive to epidemic diseases control. Hindawi 2017 2017-07-06 /pmc/articles/PMC5518526/ /pubmed/28761501 http://dx.doi.org/10.1155/2017/4820183 Text en Copyright © 2017 Anqi Miao et al. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Miao, Anqi
Zhang, Jian
Zhang, Tongqian
Pradeep, B. G. Sampath Aruna
Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination
title Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination
title_full Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination
title_fullStr Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination
title_full_unstemmed Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination
title_short Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination
title_sort threshold dynamics of a stochastic sir model with vertical transmission and vaccination
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5518526/
https://www.ncbi.nlm.nih.gov/pubmed/28761501
http://dx.doi.org/10.1155/2017/4820183
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