Global analysis of age-structured multi-stage epidemic models for infectious diseases

作者：

Highlights：

• A multi-stage SEIR model with continuous infection age structure is formulated.

• Age structure is equipped in each successive infectious stage of model.

• Global property is completely obtained by the Lyapunov functional approach.

• The model generalizes the staged-progression ODE model to PDE with age structure.

摘要

•A multi-stage SEIR model with continuous infection age structure is formulated.•Age structure is equipped in each successive infectious stage of model.•Global property is completely obtained by the Lyapunov functional approach.•The model generalizes the staged-progression ODE model to PDE with age structure.

论文关键词：Disease progression,Multiple stage,Age structure,Global stability,Lyapunov functional

论文评审过程：Received 16 June 2017, Revised 20 November 2017, Accepted 8 May 2018, Available online 6 June 2018, Version of Record 6 June 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.05.020