Evolutionary virus immune strategy for temporal networks based on community vitality

Li, Min; Fu, Cai; Liu, Xiaoyang; Yang, Jiakuan; Zhu, Tianqing; Han, Lei

doi:10.1016/j.future.2016.05.015

Cited by 6 publications

(2 citation statements)

References 40 publications

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“…The equations in system (14), are the reduced version of ( 9), and will be used in further investigations.…”

Section: Model Formulation Of Fractional Order Stuxnet Virusmentioning

confidence: 99%

“…Some diseases require 80-90% immunization (measles requires 95%), and the same is true for the computer, where 100% immunization from the Internet may stop viruses in connected networks [13]. Mathematical modeling of infectious disease or viruses in biology or in computer systems gives us a thorough understanding of the problem and helps us to devise a reliable, viable, and robust control strategy [14]. It was observed that the state of the various biological organisms at a certain time depends on its past states and fractional derivatives that also contains those characteristics.…”

Section: Introductionmentioning

confidence: 99%

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Fractional Dynamics of Stuxnet Virus Propagation in Industrial Control Systems

et al. 2021

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The designed fractional order Stuxnet, the virus model, is analyzed to investigate the spread of the virus in the regime of isolated industrial networks environment by bridging the air-gap between the traditional and the critical control network infrastructures. Removable storage devices are commonly used to exploit the vulnerability of individual nodes, as well as the associated networks, by transferring data and viruses in the isolated industrial control system. A mathematical model of an arbitrary order system is constructed and analyzed numerically to depict the control mechanism. A local and global stability analysis of the system is performed on the equilibrium points derived for the value of α = 1. To understand the depth of fractional model behavior, numerical simulations are carried out for the distinct order of the fractional derivative system, and the results show that fractional order models provide rich dynamics by means of fast transient and super-slow evolution of the model’s steady-state behavior, which are seldom perceived in integer-order counterparts.

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“…The equations in system (14), are the reduced version of ( 9), and will be used in further investigations.…”

Section: Model Formulation Of Fractional Order Stuxnet Virusmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%