Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage

A stochastic SIR system with Lévy jumps and distributed delay is developed and employed to study the combined effects of Markovian switching and media coverage on stochastic epidemiological dynamics and outcomes. Stochastic Lyapunov functions are used to prove the existence of a stationary distribut...

Descripción completa

Detalles Bibliográficos
Autores principales: Liu, Chao, Heffernan, Jane
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7467131/
https://www.ncbi.nlm.nih.gov/pubmed/32922445
http://dx.doi.org/10.1186/s13662-020-02894-5
_version_ 1783577953724006400
author Liu, Chao
Heffernan, Jane
author_facet Liu, Chao
Heffernan, Jane
author_sort Liu, Chao
collection PubMed
description A stochastic SIR system with Lévy jumps and distributed delay is developed and employed to study the combined effects of Markovian switching and media coverage on stochastic epidemiological dynamics and outcomes. Stochastic Lyapunov functions are used to prove the existence of a stationary distribution to the positive solution. Sufficient conditions for persistence in mean and the extinction of an infectious disease are also shown.
format Online
Article
Text
id pubmed-7467131
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-74671312020-09-11 Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage Liu, Chao Heffernan, Jane Adv Differ Equ Research A stochastic SIR system with Lévy jumps and distributed delay is developed and employed to study the combined effects of Markovian switching and media coverage on stochastic epidemiological dynamics and outcomes. Stochastic Lyapunov functions are used to prove the existence of a stationary distribution to the positive solution. Sufficient conditions for persistence in mean and the extinction of an infectious disease are also shown. Springer International Publishing 2020-08-26 2020 /pmc/articles/PMC7467131/ /pubmed/32922445 http://dx.doi.org/10.1186/s13662-020-02894-5 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, Chao
Heffernan, Jane
Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage
title Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage
title_full Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage
title_fullStr Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage
title_full_unstemmed Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage
title_short Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage
title_sort stochastic dynamics in a delayed epidemic system with markovian switching and media coverage
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7467131/
https://www.ncbi.nlm.nih.gov/pubmed/32922445
http://dx.doi.org/10.1186/s13662-020-02894-5
work_keys_str_mv AT liuchao stochasticdynamicsinadelayedepidemicsystemwithmarkovianswitchingandmediacoverage
AT heffernanjane stochasticdynamicsinadelayedepidemicsystemwithmarkovianswitchingandmediacoverage

Ejemplares similares