Stability and oscillations of multistage SIS models depend on the number of stages

作者：

Highlights：

• An SIS epidemiological model is considered with disease stage progression and varying infectivity.

• Curiously, the stability of the endemic equilibrium depends on how many stages are included in the model.

• A classical result on the stability of SIRS models is generalized.

• It is pointed out that different discretizations of the infectious period may lead to different predictions.

摘要

•An SIS epidemiological model is considered with disease stage progression and varying infectivity.•Curiously, the stability of the endemic equilibrium depends on how many stages are included in the model.•A classical result on the stability of SIRS models is generalized.•It is pointed out that different discretizations of the infectious period may lead to different predictions.

论文关键词：SIS model,Multistage model,Stability,Oscillation

论文评审过程：Received 18 October 2019, Revised 14 March 2020, Accepted 22 March 2020, Available online 16 April 2020, Version of Record 16 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125259