Abstract
Malware is one of the most dangerous threats that concerns cybersecurity. The main reasons for all of this are the development of Internet technology and Internet of Everything. Therefore, there are several mathematical models to simulate malware propagation and obtain countermeasures. These models are usually epidemic models based on ordinary differential equations. In this paper, we expose some of their deficiencies in order to improve the epidemic models. Moreover, we propose a new Susceptible-Carrier-Infectious-Recovered-Susceptible (SCIRS) model, which takes into account carrier devices. Finally, we demonstrate its global stability and study its dynamic behaviour through its basic reproductive number.
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Acknowledgments
This work has been supported by Ministerio de Economía y Competitividad (Spain) and the European Union through FEDER funds under grants TIN2014-55325-C2-1-R, TIN2014-55325-C2-2-R and MTM2015-69138-REDT.
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Hernández Guillén, J.D., Martín del Rey, Á., Hernández Encinas, L. (2018). New Approaches of Epidemic Models to Simulate Malware Propagation. 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_61
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DOI: https://doi.org/10.1007/978-3-319-67180-2_61
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