Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage

In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number [Formula: see text] which determines the extinction or prevalence of the disease. In addition, for the sto...

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Detalles Bibliográficos
Autores principales: Wang, Xiaodong, Wang, Chunxia, Wang, Kai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7716292/
https://www.ncbi.nlm.nih.gov/pubmed/33293941
http://dx.doi.org/10.1186/s13662-020-03145-3
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author Wang, Xiaodong
Wang, Chunxia
Wang, Kai
author_facet Wang, Xiaodong
Wang, Chunxia
Wang, Kai
author_sort Wang, Xiaodong
collection PubMed
description In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number [Formula: see text] which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.
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spelling pubmed-77162922020-12-04 Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage Wang, Xiaodong Wang, Chunxia Wang, Kai Adv Differ Equ Research In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number [Formula: see text] which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results. Springer International Publishing 2020-12-04 2020 /pmc/articles/PMC7716292/ /pubmed/33293941 http://dx.doi.org/10.1186/s13662-020-03145-3 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Wang, Xiaodong
Wang, Chunxia
Wang, Kai
Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
title Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
title_full Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
title_fullStr Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
title_full_unstemmed Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
title_short Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage
title_sort global dynamics of a novel deterministic and stochastic sir epidemic model with vertical transmission and media coverage
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7716292/
https://www.ncbi.nlm.nih.gov/pubmed/33293941
http://dx.doi.org/10.1186/s13662-020-03145-3
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