The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale-Free Network

Tao Li¹, Qiming Liu¹, Baochen Li²

¹Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China.
²Department of Science and Research, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China.

DOI: 10.4236/am.2015.611171                

Abstract

A new epidemic SIRS model with discrete delay on scale-free network is presented. We give the formula of the basic reproductive number for the model and prove that the disease dies out when the basic reproductive number is less than unity, while the disease is uniformly persistent when the basic reproductive number is more than unity. Numerical simulations are given to demonstrate the main results.

Keywords

Scale-Free Network, Epidemic Spreading, Attractivity, Uniformly Persistence, Time Delay

Conflicts of Interest

The authors declare no conflicts of interest.

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