A stochastic SIR epidemic model with Lévy jump and media coverage

Advances in Difference Equations

article

Liu, Yingfen¹  Zhang, Yan¹  Wang, Qingyun¹ 

[1] College of Mathematics and Computer Science, Gannan Normal University;School of Mathematics and Statistics, Wuhan University

关键词: Lévy jump;    Temporary immunity;    Threshold value;    Extinction;   

DOI  :  10.1186/s13662-020-2521-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A stochastic susceptible–infectious–recovered epidemic model with temporary immunity and media coverage is proposed. The effects of Lévy jumps on the dynamics of the model are considered. A unique global positive solution for the epidemic model is obtained. Sufficient conditions are derived to guarantee that the epidemic disease is extinct and persistent in the mean. The threshold behavior is discussed. Numerical simulations are given to verify our theoretical results.

【 授权许可】

CC BY