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...

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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
Descripción
Sumario: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.

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