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Study of directed networks-based Email virus propagation model and its concussion attractor

Deng Qi-Xiang Jia Zhen Xie Meng-Shu Chen Yan-Fei

Study of directed networks-based Email virus propagation model and its concussion attractor

Deng Qi-Xiang, Jia Zhen, Xie Meng-Shu, Chen Yan-Fei
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  • Received Date:  15 April 2012
  • Accepted Date:  02 August 2012
  • Published Online:  20 January 2013

Study of directed networks-based Email virus propagation model and its concussion attractor

  • 1. College of Science, Guilin University of Technology, Guilin 541004, China;
  • 2. Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin 541004, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61164020,61004101), the Natural Science Foundation of Guangxi (Grant No. 2011GXNSFA018147), and the Project of Guangxi Key Laboratory of Spatial Information and Geomatics (Grant No. 1103108-24).

Abstract: According to directed Email networks and the spread characteristics of Email virus, we study the behavior of the virus shock propagation in Email networks by using the mean field method to build delay differential equation model of viral spread. Then, the sufficient condition about the existence of shock solution's global attractor is given in theory. The existence and control of attractor are proved by numerical experiments. Our research indicates that spread probability between subgraphs determines the existence of attractor, and effective rate of spread determines the amplitude of attractor. Therefore these two parameters are significant in prediction of the scale of viral spread in networks.

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