Ergodic stationary distribution and extinction of a hybrid stochastic SEQIHR epidemic model with media coverage, quarantine strategies and pre-existing immunity under discrete Markov switching

作者：

Highlights：

• A hybrid stochastic SEQIHR model is studied for disease dynamics with media effect.

• We obtain the sufficient conditions for disease extinction of stochastic model.

• We obtain the criteria for the existence of an ergodic stationary distribution.

• The developed θ-stochastic method can be greatly applied to other hybrid models.

摘要

•A hybrid stochastic SEQIHR model is studied for disease dynamics with media effect.•We obtain the sufficient conditions for disease extinction of stochastic model.•We obtain the criteria for the existence of an ergodic stationary distribution.•The developed θ-stochastic method can be greatly applied to other hybrid models.

论文关键词：Hybrid stochastic SEQIHR model,Media coverage,Pre-existing immunity,Nonlinear hybrid noises,Ergodic stationary distribution,Extinction

论文评审过程：Received 26 December 2020, Revised 23 March 2021, Accepted 16 May 2021, Available online 16 June 2021, Version of Record 3 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126388