Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching

作者：

Highlights：

• A stochastic SIQR epidemic model with standard incidence and regime switching is studied.

• We obtain sufficient conditions for persistence in the mean of the disease.

• We establish sufficient conditions for extinction of the disease.

• We get sufficient conditions for the existence of positive recurrence of the solutions.

• The threshold between persistence in the mean and extinction of the system is obtained.

摘要

•A stochastic SIQR epidemic model with standard incidence and regime switching is studied.•We obtain sufficient conditions for persistence in the mean of the disease.•We establish sufficient conditions for extinction of the disease.•We get sufficient conditions for the existence of positive recurrence of the solutions.•The threshold between persistence in the mean and extinction of the system is obtained.

论文关键词：SIQR epidemic model,Standard incidence,Persistence and extinction,Positive recurrence,Markov switching,Threshold

论文评审过程：Received 17 May 2017, Revised 10 August 2017, Accepted 17 August 2017, Available online 5 September 2017, Version of Record 5 September 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.08.042