Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations

作者：

Highlights：

• The model validation results are established.

• The basic reproduction numbers at three human–vector contact levels are computed.

• The stochastic stability of equilibria is proven.

• Interplay between stability and human mobility are exhibited in real-life scenarios.

摘要

•The model validation results are established.•The basic reproduction numbers at three human–vector contact levels are computed.•The stochastic stability of equilibria is proven.•Interplay between stability and human mobility are exhibited in real-life scenarios.

论文关键词：Disease-free steady state,Stochastic asymptotic stability,Threshold value,Lyapunov functional technique,Intra- and inter-regional visiting times

论文评审过程：Received 10 May 2016, Revised 30 August 2016, Accepted 5 September 2016, Available online 20 September 2016, Version of Record 20 September 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.09.001