Study of the stability of a SEIRS model for computer worm propagation

Guillén, Jose Diamantino Hernández; Rey, Ángel Martín del; Encinas, Luis Hernández

doi:10.1016/j.physa.2017.03.023

Cited by 36 publications

(7 citation statements)

References 10 publications

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“…Paper [8] developed a refined SEIRS (Susceptible -Exposed -Infectious -Recovered -Susceptible) computer worm propagation model. They found worm-free equilibrium state and worm-endemic equilibrium state and analyzed its stability conditions.…”

Section: A George Maria Selvam S Godfrey Winster R Janagaraj Gmentioning

confidence: 99%

Modeling Worm Proliferation in Wireless Sensor Networks with Discrete Fractional Order System

Selvam¹,

Winster²,

Janagaraj³

et al. 2020

IJRTE

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Abstract: Wireless sensor networks (WSNs) are at risk to cyber attacks and thus security is of vital concern. WSN is a soft target for worm attacks due to fragile defence mechanism in the network . A single unsecured node can essentially propogate the worm in the complete network via communication. Mathematical epidemic models are useful in the study of propagation of worms in WSNs. This work considers a fractional order discrete model of attacking and spreading dynamics of worms in WSNs of the form The proposed epidemic model is probed with the assistance of stability theory. Basic reproduction number (R 0 )is determined for the analysis of the dynamics of worm propagation in WSNs. The equilibrium states are computed and analyzed the stability. Basic reproduction number R 0 enables to discover the threshold values for communication radius and node density distribution. If reproduction number is less than one, the worm free equilibrium state (WFE) is locally asymptotically stable (LAS) and if reproduction number is more than one then the endemic equilibrium state (EE) is asymptotically stable. Numerical illustrations affirm the consistency of the theoretical analysis and stimulating dynamical behavior of the system is observed.

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Section: A George Maria Selvam S Godfrey Winster R Janagaraj Gmentioning

confidence: 99%

Modeling Worm Proliferation in Wireless Sensor Networks with Discrete Fractional Order System

Selvam¹,

Winster²,

Janagaraj³

et al. 2020

IJRTE

View full text Add to dashboard Cite

show abstract

“…2, pp. 175-184 © The Institution of Engineering and Technology 2019 attack [6][7][8]. Second, the reason for the current popularity of virtual currency is that many worms, with 'mining' programs, illegally use the resources of other people's computers for calculation.…”

Section: Related Workmentioning

confidence: 99%

Novel non‐linear dynamics P2P network worm propagation and immune model

Liu

2020

IET Information Security

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“…A general formal study to obtain the reproduction number and discuss the positivity and stability properties of equilibrium points is proposed and formally discussed [34]. Existence and stability of equilibrium points of the models have been extensively studied [35], [36]. Consequently, epidemic models about malwares is used for reference in our study.…”

Section: B Literature Reviewmentioning

confidence: 99%

Interplay Between Malware Epidemics and Honeynet Potency in Industrial Control System Network

Yao

Sheng

et al. 2020

IEEE Access

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The Industrial Control System (ICS) is widely used in industrial processes, such as power grids, water conservancy, natural gas, petrochemical and so on. More and more cyber attacks are targeting the ICS worldwide. This paper presents a novel honeynet-based epidemic model in ICS network. The honeynet is an active approach that can attract malware attacks and provide sample information and immunization strategy of the malware. An epidemic model with immunization and quarantine in ICS network is formulated to explore the dynamics of the malware propagation, and the honeynet potency is analyzed as well. Theoretical analysis reveals the disease-free and endemic equilibrium of our model, then the local and global stability of the disease-free (endemic) equilibrium are examined by the basic reproduction number. Furthermore, numerical experiments show that the honeypot with more system vulnerabilities is conducive to suppress the malware epidemic, and the honeynet with lower average degree power low index can be more effectively. In addition, simulation experiments provide the actual behavior of malware propagation in the ICS network and verification of our derivations.

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Study of the stability of a SEIRS model for computer worm propagation

Cited by 36 publications

References 10 publications

Modeling Worm Proliferation in Wireless Sensor Networks with Discrete Fractional Order System

Modeling Worm Proliferation in Wireless Sensor Networks with Discrete Fractional Order System

Novel non‐linear dynamics P2P network worm propagation and immune model

Interplay Between Malware Epidemics and Honeynet Potency in Industrial Control System Network

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