New global dynamical results and application of several SVEIS epidemic models with temporary immunity

作者：

Highlights：

• A novel nonlinear SVEIS epidemic model with temporary immunity is formulated.

• The incidence rate of the model is a generalization of numerous nonlinear ones.

• Global dynamics of the model proposed arempletely addressed by a new geometric criterion.

• Global stability for several existing nonlinear SVEIS models is fully solved.

• Model parameters are estimated to study the effects of multiple measures on the H1N1 pandemic.

摘要

•A novel nonlinear SVEIS epidemic model with temporary immunity is formulated.•The incidence rate of the model is a generalization of numerous nonlinear ones.•Global dynamics of the model proposed arempletely addressed by a new geometric criterion.•Global stability for several existing nonlinear SVEIS models is fully solved.•Model parameters are estimated to study the effects of multiple measures on the H1N1 pandemic.

论文关键词：Global stability,Vaccination,Temporary immunity,Nonlinear incidence,Li-Muldowney geometric criterion,Parameter estimation

论文评审过程：Received 26 February 2020, Revised 12 June 2020, Accepted 23 August 2020, Available online 10 September 2020, Version of Record 10 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125648