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《Chinese Journal of Engineering Mathematics》 2008-03
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Construction and Analysis of a Mathematical Model for the Computer Virus Propagation

LIU Qi-ming1,YANG Su-min 2 (1-Basic Courses,Ordance Engineering College,Shijiazhuang 050003; 2-Department of Computer Engineering,Ordance Engineering College,Shijiazhuang 050003)  
Based on construction methods of the epidemic models,we derive a delayed differential equation model for the spreading of computer viruses under the P-P network.Combined into the model are the latent period of computer virus and the developed time of antivirus techniques.Using the theory of differential dynamical system,we discuss the propagation regularity of computer virus, and the thresholds are obtained.At last,results are discussed and a numerical simulation is carried out.This research provides theoretical bases for the computer virus control.
【Fund】: 国家自然基金(60471022);; 军械工程学院科研基金(YJJXM0610)
【CateGory Index】: TP309.5
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【References】
Chinese Journal Full-text Database 2 Hits
1 LIU Qi-ming,WANG Shao-jie(Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China);Analysis of a Mathematical Model for a Worm Virus Propagation[J];Journal of Ordnance Engineering College;2008-05
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【Co-citations】
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1 WU Chuan-hua et al (College of Science,Jiangsu University,Zhenjiang,Jiangsu 212013);Study on the Self-adaptive Fuzzy Control of Some Spruce Aphides and Their Predator Interaction Model[J];Journal of Anhui Agricultural Sciences;2008-22
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9 YANG Li-li(Department of Mathematics and Computer Science,Nanjing Normal University,Nanjing Jiangsu 210097,China);Finite Volume Element Methods for One Dimensional Malaria-Malaria Mosquito Model with Diffusion[J];Journal of Anshan Normal University;2006-02
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2 MI Chuan-min~1 LIU Si-feng~1 MI Chuan-jun~2 (1.Nanjing University of Aeronautics and Astronautics,School of Economics and Management,Nanjing 210016,China;2.Beijing Institute of Technology,College of Management and Economics,Beijing 100011,China);Study on the Diffusion of Enterprise Group Internal Distress based on SEIRS Model[A];[C];2007
3 Xiao Jianhua Henan Polytechnic University;Perturbation Equation for Ecological Environment Planning Based on Non-linear Fisher Equation[A];[C];2007
4 WANG Haiyun(Department of Environment Engineering,Three Gorges University,Yi Chang 443002,Hubei,China);China Three Gorges Algal Bloom Nonlinear Evolution of the Outbreak of Acts of Effect[A];[C];2009
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【Co-references】
Chinese Journal Full-text Database 5 Hits
1 LI Xiaoli,WANG Lina(School of Computer,Wuhan University,Wuhan 430072);Model of Computer Virus Propagation in the Network[J];Computer Engineering;2005-18
2 PENG Jun-hao1,2, XU Guo-ai1, ZHU Zhen-rong1, YANG Yi-xian1 (1. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876; 2. College of Math and Information Science, Guangzhou University, Guangzhou 510405);SIRS Worm Propagation Model and Its Analysis[J];Computer Engineering;2008-07
3 ZHANG Li-ping1,3,HONG Long2,WANG Hui-nan3 1.College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China 2.College of Computer,Nanjing University of Posts and Telecommunications,Nanjing 210003,China 3.College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;A Differential Equation Model with Delay for Network Virus Propagation[J];Journal of Nanjing University of Posts and Telecommunications(Natural Science);2007-05
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1 SUN Wei-wei(Second Military Medical University,shanghai,200433,China);A distributed detection system for network worm[J];Journal of Henan Polytechnic University(Natural Science);2010-06
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