Abstract
The main goal of this work is to show an application of the stability theory of systems of ordinary differential equations to cybersecurity. Specifically, we will focus our attention on the study of the systems used in the mathematical models to simulate malware spreading on computer networks. Thus, a compartmental SCIRS model for computer worms spreading is proposed and analyzed.
One machine can do the work of fifty ordinary men. No machine can do the work of one extraordinary men (E. Hubbard). Dedicated to Jaime Muñoz Masqué, our mentor and friend, on the occasion of his 65th birthday.
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Acknowledgments
This work has been supported by MINECO (Spain) and European FEDER Fund under the grant MoMaCIS (TIN2014-55325-C2-2-R), and by Junta de Castilla y León (Spain).
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Martín del Rey, Á., Rodríguez Sánchez, G. (2016). Application to Cybersecurity of the Stability Theory of the Systems of Ordinary Differential Equations. In: Castrillón López, M., Hernández Encinas, L., Martínez Gadea, P., Rosado María, M. (eds) Geometry, Algebra and Applications: From Mechanics to Cryptography. Springer Proceedings in Mathematics & Statistics, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-32085-4_14
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DOI: https://doi.org/10.1007/978-3-319-32085-4_14
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