Abstract
There are a great variety of specimens of malware: computer viruses, computer worms, trojans, etc. Nowadays, malware is one of the most important computer security problem and the source of great financial losses. Consequently, it is necessary to design tools that allow one to simulate the behavior of malware propagation. These tools are based on mathematical models and the great majority of them tackle the study of a particular type of malware called computer worms. Nevertheless, to the best of our knowledge, there are few models devoted to the study of the spreading of computer viruses. In this sense, the main goal of this work is to introduce a new mathematical model, based on cellular automata, to analyze the epidemic behavior of computer virus. Specifically, it is a SEIR (Susceptible-Exposed-Infectious-Recovered) model where the nodes of the network are divided into four compartments: susceptible, exposed, infected and recovered.
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References
Aycock, J.: Computer Viruses and Malware. Advances in Information Security, vol. 22. Springer, Heidelberg (2006)
Bauer, A.L., Beauchemin, C.A.A., Perelson, A.S.: Agent-based modeling of host-pathogen systems: The successes and challenges. Inf. Sci. 179, 1379–1389 (2009)
Bradley, J., Gilmore, S., Hillston, J.: Analysing distributed Internet worm attacks using continuous state-space approximation of process algebra models. J. Comput. Syst. Sci. 74, 1013–1032 (2008)
Coen, F.: Computer viruses: Theory and experiments. Comput. Secur. 6(1), 22–35 (1987)
Filiol, E.: Computer Viruses: From Theory to Applications. Springer, Paris (2005)
Kondakci, S.: Epidemic state analysis of computers under malware attacks. Simul. Model. Pract. Theory 16, 571–584 (2008)
Li, J., Knickerbocker, P.: Functional similarities between computer worms and biological pathogens. Comput. Secur. 26, 338–347 (2007)
del Rey, A.M.: Mathematical modeling of the propagation of malware: a review. Secur. Commun. Netw. 8, 2561–2579 (2015)
del Rey, A.M., Sánchez, G.R.: A discrete mathematical model to simulate malware spreading. Int. J. Mod. Phys. C 23(10), 1250064 (2012)
Mishra, B.K., Saini, D.: Mathematical models on computer viruses. Appl. Math. Comput. 187, 929–936 (2007)
Mishra, B.K., Pandey, S.K.: Dynamic model of worms with vertical transmission in computer network. Appl. Math. Comput. 217, 8438–8446 (2011)
Piqueira, J., Vasconcelos, A., Gabriel, C., Araujo, V.: Dynamic models for computer viruses. Comput. Secur. 27, 355–359 (2008)
Ren, J., Yang, X., Zhu, Q., Yang, L.X., Zhang, C.: A novel computer virus model and its dynamics. Nonlinear Anal. Real. 13, 376–384 (2012)
Serazzi, G., Zanero, S.: Computer virus propagation. In: Performance Tools and Applications to Networked Systems. Lecture Notes in Computer Science, vol. 2965, pp. 26–50. Springer (2004)
Wolfram, W.: A New Kind of Science. Wolfram Media Inc., Champaign (2002)
Yuan, H., Chen, G.: Network virus-epidemic model with the point-to-group information propagation. Appl. Math. Comput. 206, 357–367 (2008)
Acknowledgments
This work has been supported by Ministerio de Economía y Competitividad (Spain) and the European Union through FEDER funds under grants TIN2014-55325-C2-2-R and MTM2015-69138-REDT.
F.K. Batista and S. Quintero-Bonilla have been supported by IFARHU-SENACYT scholarship program (Panama).
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Batista, F.K., Martín del Rey, Á., Quintero-Bonilla, S., Queiruga-Dios, A. (2018). A SEIR Model for Computer Virus Spreading Based on Cellular Automata. In: Pérez García, H., Alfonso-Cendón, J., Sánchez González, L., Quintián, H., Corchado, E. (eds) International Joint Conference SOCO’17-CISIS’17-ICEUTE’17 León, Spain, September 6–8, 2017, Proceeding. SOCO ICEUTE CISIS 2017 2017 2017. Advances in Intelligent Systems and Computing, vol 649. Springer, Cham. https://doi.org/10.1007/978-3-319-67180-2_62
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