Global stability of an SI epidemic model with feedback controls in a patchy environment
作者：
Highlights：
• Feedback control strategy is firstly introduced into an SI epidemic model in a patchy environment.
• Obtain the basic reproductive number R0.
• Obtain the uniform persistence criteria of the disease.
• Obtain global stability criteria of the disease-free equilibrium and endemic equilibrium.
• Numerical simulations are given to illustrate our theoretical results.
摘要
•Feedback control strategy is firstly introduced into an SI epidemic model in a patchy environment.•Obtain the basic reproductive number R0.•Obtain the uniform persistence criteria of the disease.•Obtain global stability criteria of the disease-free equilibrium and endemic equilibrium.•Numerical simulations are given to illustrate our theoretical results.
论文关键词：Global stability,SI epidemic model,Feedback controls,Patchy environment,Basic reproduction number,Lyapunov function
论文评审过程：Received 27 March 2017, Revised 28 July 2017, Accepted 31 October 2017, Available online 15 November 2017, Version of Record 15 November 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.10.057
