Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks

作者：

Highlights：

• A new SIS epidemic model considering the infection rates of multiple edges interfere with each other on complex networks was proposed.

• The basic reproduction number was found, and the local and global asymptotical stability of the disease-free equilibrium are studied.

• The existence, uniqueness and the asymptotical stability of the equilibrium were studied and some disease control strategies are given.

摘要

•A new SIS epidemic model considering the infection rates of multiple edges interfere with each other on complex networks was proposed.•The basic reproduction number was found, and the local and global asymptotical stability of the disease-free equilibrium are studied.•The existence, uniqueness and the asymptotical stability of the equilibrium were studied and some disease control strategies are given.

论文关键词：Control strategies,Global asymptotic stability,Heterogeneous network,Piecewise continuous Lyapunov function,SIS epidemic model

论文评审过程：Received 14 December 2019, Revised 18 April 2020, Accepted 10 May 2020, Available online 25 May 2020, Version of Record 25 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125381