TITLE:
The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale-Free Network
AUTHORS:
Tao Li, Qiming Liu, Baochen Li
KEYWORDS:
Scale-Free Network, Epidemic Spreading, Attractivity, Uniformly Persistence, Time Delay
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.11,
October
29,
2015
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.