Infectious diseases spreading on a metapopulation network coupled with its second-neighbor network

作者:

Highlights:

• The definition of second-neighbor network on an arbitrary undirected network and relative definitions are given for the first time.

• The basic reproduction number only depends on infectious disease parameters but not on human mobility.

• The disease-free and endemic equilibria are globally asymptotically stable.

• The behavior that all individuals travel along the second-neighbor network may both hinder and accelerate the global transmission of infectious diseases.

• Moderate transfer rate is most conductive to the global transmission of infectious diseases.

摘要

•The definition of second-neighbor network on an arbitrary undirected network and relative definitions are given for the first time.•The basic reproduction number only depends on infectious disease parameters but not on human mobility.•The disease-free and endemic equilibria are globally asymptotically stable.•The behavior that all individuals travel along the second-neighbor network may both hinder and accelerate the global transmission of infectious diseases.•Moderate transfer rate is most conductive to the global transmission of infectious diseases.

论文关键词:Infectious disease,Second neighbor,Second-neighbor network,Metapopulation network,Global asymptotic stability

论文评审过程:Received 20 February 2019, Revised 19 April 2019, Accepted 6 May 2019, Available online 19 June 2019, Version of Record 19 June 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.05.005