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

作　　者：Tao Li Qiming Liu Baochen Li 

机构地区：[1]Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China [2]Department of Science and Research, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China

出　　处：《Applied Mathematics》2015年第11期1939-1946,共8页应用数学（英文）

摘　　要：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.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.

关 键 词：SCALE-FREE Network EPIDEMIC SPREADING ATTRACTIVITY UNIFORMLY PERSISTENCE Time Delay 

分 类 号：O1[理学—数学]