（國防科技大學 計算機學院， 湖南 長沙  410073）

　　摘要：準確地建立網絡蠕蟲傳播模型，合理地分析影響網絡蠕蟲傳播過程的多種因素，是目前網絡蠕蟲傳播機制研究的重要內容之一。本文在經典的簡單傳染病模型SEM的基礎上，引入脆弱性主機數量的日常變化（Diurnal Pattern）這個在之前的網絡蠕蟲傳播模型中通常被忽略的因素。深入研究其對于網絡蠕蟲的傳播過程可能產生的潛在影響，提出DP-SEM網絡蠕蟲傳播模型，并利用MATLAB對DP-SEM模型進行了模擬驗證。模擬結果表明，通過合理地分析脆弱性主機數量的日常變化，DP-SEM模型可以比SEM模型更加準確地反映網絡蠕蟲的傳播過程。
　　關鍵詞：網絡蠕蟲；傳播模型；DP-SEM；MATLAB
A study of worm propagation mechanism based on the diurnal pattern of vulnerable hosts
YU Xiang, LIU Bo, MA XiaoLong
(College of Computer, National University of Defense Technology, Changsha 410073, China)

　　Abstract:Buildnetwork worm propagation model and analyze the impact of factors to network worm propagation process, is an important aspect of network worm propagation mechanism.In this paper,based on the classical simple epidemic model(SEM), the change of thenumber of hosts in one day inthe prior network worm propagation model is often ignored.Study the factor of possiblepotential impact of network worm propagation and proposeDP-SEM, thensimulatedby MATLAB. The simulation results show that, DP-SEM ismoreaccurately reflects the network worm propagationthan SEM model.
　　Key words: Internet worm;propagationmodeling;DP-SEM;MATLAB

參考文獻（References）

[1]MorrisWorm[EB/OL].http://en.wikipedia.org/wiki/Morris_worm
[2]http://www.caida.org/research/security/code-redderedv2_analysis.xml
[3]ConfickerWorm[EB/OL].http://en.wikipedia.org/wiki/Conficker
[4]Streftaris G, Gibson GJ. Statistical inference for stochastic epidemic models. In: Proc. of the 17th Int’l Workshop on Statistical Modelling. Chania, 2002. 609-616.
[5]Frauenthal JC. Mathematical Modeling in Epidemiology.New York: Springer-Verlag, 1980.
[6]Wang Y, Wang CX. Modeling the effects of timing parameters on virus propagation. In: Staniford S, ed. Proc. of the ACM CCS Workshop on Rapid Malcode (WORM 2003). Washington, 2003.
[7]David Moore, Colleen Shannon, Jeffery Brown, Code-Red: a case study on the spreadand victims of an Internet worm[C]. Internet Measurement Workshop (IMW), NY, USA, 2002: 1910-1921.
[8]百度移動(云事業部).移動互聯網發展報告2012Q1[R].http://open.shouji.baidu.com/?page=mireport&action=download&f=2012q1

作者簡介：俞翔（1988-），男，甘肅民勤人，國防科學技術大學碩士生，主要研究方向為網絡與信息安全