Global stability for an SEI model of infectious disease with immigration

作者：

Highlights：

• We study an SEI model of an infectious disease, including immigration of infecteds.

• There is no disease-free equilibrium.

• There is a unique endemic equilibrium and it is globally asymptotically stable.

• The disease cannot be eliminated unless immigration of infecteds is blocked.

摘要

•We study an SEI model of an infectious disease, including immigration of infecteds.•There is no disease-free equilibrium.•There is a unique endemic equilibrium and it is globally asymptotically stable.•The disease cannot be eliminated unless immigration of infecteds is blocked.

论文关键词：Global stability,Lyapunov function,Epidemiology,Immigration

论文评审过程：Available online 3 July 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.06.020