Permanence and extinction in a nonautonomous discrete SIRVS epidemic model with vaccination

作者：

Highlights：

• We formulate a discrete SIRVS epidemic model.

• The threshold conditions are expressed as inferior and superior limits of products.

• Dynamic behavior of the model is studied.

• A sharp threshold value is obtained under the case of periodic model.

摘要

•We formulate a discrete SIRVS epidemic model.•The threshold conditions are expressed as inferior and superior limits of products.•Dynamic behavior of the model is studied.•A sharp threshold value is obtained under the case of periodic model.

论文关键词：Nonautonomous discrete epidemic model,Nonstandard finite difference scheme,Permanence,Extinction,Vaccination,Threshold conditions

论文评审过程：Received 23 April 2015, Revised 27 July 2015, Accepted 18 September 2015, Available online 8 October 2015, Version of Record 8 October 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.09.071