Modeling Cyber-Security

Nicholas J. Daras () and Argyrios Alexopoulos ()
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Nicholas J. Daras: Hellenic Military Academy

A chapter in Modern Discrete Mathematics and Analysis, 2018, pp 39-79 from Springer

Abstract: Abstract This paper documents a holistic mathematical modeling theory to provide a rigorous description of cyber-attacks and cyber-security. After determining valuations and vulnerabilities of parts of a node constituent, we recall the definitions of cyber-effect and cyber-interaction. Based on these concepts, we give the mathematical definitions of cyber navigation and infected node and we explain what is meant by dangerous cyber navigation and protection of cyber nodes from unplanned attacks. Our discussion proceeds to a rigorous description of passive and active cyber-attacks, as well as the relevant protections.

Keywords: Mathematical modeling (models of systems); Internet topics; Measure theory; Complex spaces; Valuation of a part of node constituent; Vulnerability of a part of node constituent; Node supervision; Cyber-effect; Cyber-interaction; Germ of cyber-attack; Cyber defense; Proactive cyber protection (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-74325-7_3

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DOI: 10.1007/978-3-319-74325-7_3

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