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

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...

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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
Description
Summary: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.
ISSN:1687-1847

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