A DISCRETE MATHEMATICAL MODEL TO SIMULATE MALWARE SPREADING

A. Martin Del Rey () and G. Rodriguez Sánchez ()
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A. Martin Del Rey: E.P.S. de Ávila, Department of Applied Mathematics, Universidad de Salamanca, C/Hornos Caleros 50, 05003-Ávila, Spain
G. Rodriguez Sánchez: E.P.S. de Zamora, Department of Applied Mathematics, Universidad de Salamanca, Avda. Requejo 33, 49022-Zamora, Spain

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 10, 1-16

Abstract: With the advent and worldwide development of Internet, the study and control of malware spreading has become very important. In this sense, some mathematical models to simulate malware propagation have been proposed in the scientific literature, and usually they are based on differential equations exploiting the similarities with mathematical epidemiology. The great majority of these models study the behavior of a particular type of malware called computer worms; indeed, to the best of our knowledge, no model has been proposed to simulate the spreading of a computer virus (the traditional type of malware which differs from computer worms in several aspects). In this sense, the purpose of this work is to introduce a new mathematical model not based on continuous mathematics tools but on discrete ones, to analyze and study the epidemic behavior of computer virus. Specifically, cellular automata are used in order to design such model.

Keywords: Computer virus; network security; cellular automata; epidemic model; 89.75.-k; 89.20.Ff; 89.20.Kk (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500647

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