A stochastic SIQR epidemic model with Lévy jumps and three-time delays

作者：

Highlights：

• The paper proposes the stochastic dynamics of SIQR model structure with Lévy jumps and three time delays.

• The existence and uniqueness of the positive solution, the dynamic properties around the disease-free equilibrium and the endemic equilibrium are obtained by constructing some suitable Lyapunov functions.

• The inuence of isolation and vaccination rate on the disease dynamics is also examined by sensitivity analysis.

• The unknown parameters are estimated by the least-square method and the trend of COVID-19 epidemic was predicted.

摘要

•The paper proposes the stochastic dynamics of SIQR model structure with Lévy jumps and three time delays.•The existence and uniqueness of the positive solution, the dynamic properties around the disease-free equilibrium and the endemic equilibrium are obtained by constructing some suitable Lyapunov functions.•The inuence of isolation and vaccination rate on the disease dynamics is also examined by sensitivity analysis.•The unknown parameters are estimated by the least-square method and the trend of COVID-19 epidemic was predicted.

论文关键词：Stochastic SIQR model,Lévy jumps,Equilibrium,Asymptotic behavior

论文评审过程：Received 8 April 2022, Revised 8 June 2022, Accepted 12 June 2022, Available online 28 June 2022, Version of Record 28 June 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127329