Defense strategy of industrial control worm based on SEIPQR model

Computer viruses keep evolving with the development of society and progress of technologies, and they become more complex and hidden.The worm virus is the earliest computer virus, which has evolved to an industrial control worm virus and caused a great impact on the safety of the industrial system.N...

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Main Authors: Jie PAN, Lan YE, He ZHAO, Xinlei ZHANG
Format: Article
Language:English
Published: POSTS&TELECOM PRESS Co., LTD 2022-06-01
Series:网络与信息安全学报
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Online Access:http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2022032
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author Jie PAN
Lan YE
He ZHAO
Xinlei ZHANG
author_facet Jie PAN
Lan YE
He ZHAO
Xinlei ZHANG
author_sort Jie PAN
collection DOAJ
description Computer viruses keep evolving with the development of society and progress of technologies, and they become more complex and hidden.The worm virus is the earliest computer virus, which has evolved to an industrial control worm virus and caused a great impact on the safety of the industrial system.Neither the single network isolation nor the patching immunity is unable to keep up with the spreading of the worm virus.The propagation mode and characteristics of the worm virus in the industrial control system were analyzed.Based on the related works of network isolation and patching, a defense strategy against the worm virus was proposed.This strategy was originated from the fundamental infectious disease model, and then a mathematics model (SEIPQR) was proposed to simulate the trend of worm virus propagation.The model included six situations: Susceptible, Exposed, Infected, Quarantine and Recovered.The state transition diagrams of the model was created, and the calculus equations were obtained from the state transition diagrams.Under the condition that the number of system equipment is fixed, the equations were transformed.The equations were solved by solving the basic regeneration number R0, and six equation expressions of the model ware analyzed when the number of exposed hosts and infected hosts is zero.According to the principle of the Routh-Hurwitz, the system is asymptotically stable when R<sub>0</sub><1, and unstable if R<sub>0</sub>>1.Then the dynamic characteristics of the SEIPQR model under different patching probability, different isolation rate and different infection rate were compared by numerical simulation.Furthermore, the disease-free equilibrium point and endemic equilibrium point of the model were obtained.The simulation results showed that, when the whole system is infected with worm virus, timely patching the susceptible devices and isolating the network can effectively inhibit the spread of industrial control worm virus.
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spelling doaj-art-ffd4675f1be74f51a648dce6e73b44242025-01-15T03:15:50ZengPOSTS&TELECOM PRESS Co., LTD网络与信息安全学报2096-109X2022-06-01816917559572733Defense strategy of industrial control worm based on SEIPQR modelJie PANLan YEHe ZHAOXinlei ZHANGComputer viruses keep evolving with the development of society and progress of technologies, and they become more complex and hidden.The worm virus is the earliest computer virus, which has evolved to an industrial control worm virus and caused a great impact on the safety of the industrial system.Neither the single network isolation nor the patching immunity is unable to keep up with the spreading of the worm virus.The propagation mode and characteristics of the worm virus in the industrial control system were analyzed.Based on the related works of network isolation and patching, a defense strategy against the worm virus was proposed.This strategy was originated from the fundamental infectious disease model, and then a mathematics model (SEIPQR) was proposed to simulate the trend of worm virus propagation.The model included six situations: Susceptible, Exposed, Infected, Quarantine and Recovered.The state transition diagrams of the model was created, and the calculus equations were obtained from the state transition diagrams.Under the condition that the number of system equipment is fixed, the equations were transformed.The equations were solved by solving the basic regeneration number R0, and six equation expressions of the model ware analyzed when the number of exposed hosts and infected hosts is zero.According to the principle of the Routh-Hurwitz, the system is asymptotically stable when R<sub>0</sub><1, and unstable if R<sub>0</sub>>1.Then the dynamic characteristics of the SEIPQR model under different patching probability, different isolation rate and different infection rate were compared by numerical simulation.Furthermore, the disease-free equilibrium point and endemic equilibrium point of the model were obtained.The simulation results showed that, when the whole system is infected with worm virus, timely patching the susceptible devices and isolating the network can effectively inhibit the spread of industrial control worm virus.http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2022032industrial control networkindustrial control wormepidemic modelnumerical simulation
spellingShingle Jie PAN
Lan YE
He ZHAO
Xinlei ZHANG
Defense strategy of industrial control worm based on SEIPQR model
网络与信息安全学报
industrial control network
industrial control worm
epidemic model
numerical simulation
title Defense strategy of industrial control worm based on SEIPQR model
title_full Defense strategy of industrial control worm based on SEIPQR model
title_fullStr Defense strategy of industrial control worm based on SEIPQR model
title_full_unstemmed Defense strategy of industrial control worm based on SEIPQR model
title_short Defense strategy of industrial control worm based on SEIPQR model
title_sort defense strategy of industrial control worm based on seipqr model
topic industrial control network
industrial control worm
epidemic model
numerical simulation
url http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2022032
work_keys_str_mv AT jiepan defensestrategyofindustrialcontrolwormbasedonseipqrmodel
AT lanye defensestrategyofindustrialcontrolwormbasedonseipqrmodel
AT hezhao defensestrategyofindustrialcontrolwormbasedonseipqrmodel
AT xinleizhang defensestrategyofindustrialcontrolwormbasedonseipqrmodel