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

Advances in Difference Equations

article

Liu, Chao¹  Heffernan, Jane² 

[1] Institute of Systems Science, Northeastern University;Department of Mathematics and Statistics, York University;Centre for Disease Modelling, York University

关键词: Telephone noise;    Media coverage;    Lévy jumps;    Distributed delay;    Persistence in mean;    Extinction of disease;   

DOI  :  10.1186/s13662-020-02894-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY