A stochastic SIR epidemic model with Lévy jump and media coverage

A stochastic susceptible–infectious–recovered epidemic model with temporary immunity and media coverage is proposed. The effects of Lévy jumps on the dynamics of the model are considered. A unique global positive solution for the epidemic model is obtained. Sufficient conditions are derived to guara...

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Detalles Bibliográficos
Autores principales: Liu, Yingfen, Zhang, Yan, Wang, Qingyun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7224063/
https://www.ncbi.nlm.nih.gov/pubmed/32435266
http://dx.doi.org/10.1186/s13662-020-2521-6
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author Liu, Yingfen
Zhang, Yan
Wang, Qingyun
author_facet Liu, Yingfen
Zhang, Yan
Wang, Qingyun
author_sort Liu, Yingfen
collection PubMed
description A stochastic susceptible–infectious–recovered epidemic model with temporary immunity and media coverage is proposed. The effects of Lévy jumps on the dynamics of the model are considered. A unique global positive solution for the epidemic model is obtained. Sufficient conditions are derived to guarantee that the epidemic disease is extinct and persistent in the mean. The threshold behavior is discussed. Numerical simulations are given to verify our theoretical results.
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spelling pubmed-72240632020-05-15 A stochastic SIR epidemic model with Lévy jump and media coverage Liu, Yingfen Zhang, Yan Wang, Qingyun Adv Differ Equ Research A stochastic susceptible–infectious–recovered epidemic model with temporary immunity and media coverage is proposed. The effects of Lévy jumps on the dynamics of the model are considered. A unique global positive solution for the epidemic model is obtained. Sufficient conditions are derived to guarantee that the epidemic disease is extinct and persistent in the mean. The threshold behavior is discussed. Numerical simulations are given to verify our theoretical results. Springer International Publishing 2020-02-12 2020 /pmc/articles/PMC7224063/ /pubmed/32435266 http://dx.doi.org/10.1186/s13662-020-2521-6 Text en © The Author(s) 2020 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/.
spellingShingle Research
Liu, Yingfen
Zhang, Yan
Wang, Qingyun
A stochastic SIR epidemic model with Lévy jump and media coverage
title A stochastic SIR epidemic model with Lévy jump and media coverage
title_full A stochastic SIR epidemic model with Lévy jump and media coverage
title_fullStr A stochastic SIR epidemic model with Lévy jump and media coverage
title_full_unstemmed A stochastic SIR epidemic model with Lévy jump and media coverage
title_short A stochastic SIR epidemic model with Lévy jump and media coverage
title_sort stochastic sir epidemic model with lévy jump and media coverage
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7224063/
https://www.ncbi.nlm.nih.gov/pubmed/32435266
http://dx.doi.org/10.1186/s13662-020-2521-6
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