publication . Article . Preprint . 2016

Cyber Epidemic Models with Dependences

Maochao Xu; Gaofeng Da; Shouhuai Xu;
Open Access
  • Published: 28 Mar 2016 Journal: Internet Mathematics, volume 11, pages 62-92 (issn: 1542-7951, eissn: 1944-9488, Copyright policy)
  • Publisher: Internet Mathematics
Abstract
Studying models of cyber epidemics over arbitrary complex networks can deepen our understanding of cyber security from a whole-system perspective. In this paper, we initiate the investigation of cyber epidemic models that accommodate the {\em dependences} between the cyber attack events. Due to the notorious difficulty in dealing with such dependences, essentially all existing cyber epidemic models have assumed them away. Specifically, we introduce the idea of Copulas into cyber epidemic models for accommodating the dependences between the cyber attack events. We investigate the epidemic equilibrium thresholds as well as the bounds for both equilibrium and non-e...
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ACM Computing Classification System: ComputingMilieux_MISCELLANEOUS
free text keywords: Modelling and Simulation, Applied Mathematics, Computational Mathematics, Computer Science - Cryptography and Security, Computer Science - Social and Information Networks, Cyber-attack, Computer security, computer.software_genre, computer, Complex network, Mathematics
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