Dynamics of a stochastic SEIQR model driven by Lévy jumps with bilinear incidence rates
Dynamics of a stochastic SEIQR model driven by Lévy jumps with bilinear incidence rates
Qiuye Xia,Xiaoling Qiu
TLDR
The existence and uniqueness of the global positive solution of the stochastic SEIQR infectious disease model by using the stop-time is studied and the asymptotic behavior of the stochastic system at disease-free equilibrium and endemic equilibrium is discussed.
Abstract
In this study, we propose a stochastic SEIQR infectious disease model driven by Lévy noise. Firstly, we study the existence and uniqueness of the global positive solution of the model by using the stop-time. Secondly, the asymptotic behavior of the stochastic system at disease-free equilibrium and endemic equilibrium are discussed. Then, the sufficient condition for persistence under the time mean is studied. Finally, our theoretical results are verified by numerical simulation.