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Spreading Analysis of an SEIR Epidemic Model with Distributed Delay on Scale-Free Network
  
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KeyWord:Epidemic model, network, distributed delay, basic reproduction number, stability
Author NameAffiliation
Hanwu Liu School of Mathematics and Information Technology,Yuncheng University, Yuncheng, Shanxi 044000, China 
Zhuoyue Liu School of Medicine, Zhejiang University, Hangzhou, Zhejiang 310000, China 
Fengqin Zhang School of Mathematics and Information Technology,Yuncheng University, Yuncheng, Shanxi 044000, China 
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Abstract:
      A novel epidemic SEIR model with distributed delay on scale-free network is proposed in this paper. The formula of the basic reproduction number $R_{0}$ for the model is given, and globally dynamic behaviours of the model are discussed. Numerical simulations are carried out to demonstrate the main results.