Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise

Advances in Difference Equations

Yingjia Guo¹ 

[1] School of Mathematics and Statistics, Beihua University, Jilin, China

关键词: stochastic SIS epidemic model;    vaccination;    Lévy noise;    Markov switching;    global positive solution;    asymptotic behavior;   

DOI  :  10.1186/s13662-017-1424-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We formulate a stochastic SIS epidemic model with vaccination by introducing a Lévy noise and regime switching into the epidemic model. First, we prove that the stochastic model admits a unique global positive solution. Moreover, we study the asymptotic behavior of the stochastic regime switching SIS model with vaccination driven by Lévy noise.

【 授权许可】

CC BY