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

Abstract 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...

Full description

Bibliographic Details
Main Authors:	Chao Liu, Jane Heffernan
Format:	Article
Language:	English
Published:	SpringerOpen 2020-08-01
Series:	Advances in Difference Equations
Subjects:	Telephone noise Media coverage Lévy jumps Distributed delay Persistence in mean Extinction of disease
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02894-5

id	doaj-82b01291c6b04aa190db998e5aa6bf85
record_format	Article
spelling	doaj-82b01291c6b04aa190db998e5aa6bf852020-11-25T03:54:23ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020112310.1186/s13662-020-02894-5Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverageChao Liu0Jane Heffernan1Institute of Systems Science, Northeastern UniversityDepartment of Mathematics and Statistics, York UniversityAbstract 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.http://link.springer.com/article/10.1186/s13662-020-02894-5Telephone noiseMedia coverageLévy jumpsDistributed delayPersistence in meanExtinction of disease
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chao Liu Jane Heffernan
spellingShingle	Chao Liu Jane Heffernan Stochastic dynamics in a delayed epidemic system with Markovian switching and media coverage Advances in Difference Equations Telephone noise Media coverage Lévy jumps Distributed delay Persistence in mean Extinction of disease
author_facet	Chao Liu Jane Heffernan
author_sort	Chao Liu
title	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_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_sort	stochastic dynamics in a delayed epidemic system with markovian switching and media coverage
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-08-01
description	Abstract 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.
topic	Telephone noise Media coverage Lévy jumps Distributed delay Persistence in mean Extinction of disease
url	http://link.springer.com/article/10.1186/s13662-020-02894-5
work_keys_str_mv	AT chaoliu stochasticdynamicsinadelayedepidemicsystemwithmarkovianswitchingandmediacoverage AT janeheffernan stochasticdynamicsinadelayedepidemicsystemwithmarkovianswitchingandmediacoverage
_version_	1724473966629748736

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

Similar Items