Internet worm propagation model based on Markov chain

A stochastic model of Internet worms is presented.Firstly,the propagation of worms is modeled based on Markov chain.The limit distribution and invariant distribution of the model is discussed.Then,necessary and sufficient conditions of the worm propagation in the initial stage and sufficient conditi...

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Main Authors: HOUHan-xun Z, UOWei G, IUJian L, IADa-yu J
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2015-05-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2015111/
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author HOUHan-xun Z
UOWei G
IUJian L
IADa-yu J
author_facet HOUHan-xun Z
UOWei G
IUJian L
IADa-yu J
author_sort HOUHan-xun Z
collection DOAJ
description A stochastic model of Internet worms is presented.Firstly,the propagation of worms is modeled based on Markov chain.The limit distribution and invariant distribution of the model is discussed.Then,necessary and sufficient conditions of the worm propagation in the initial stage and sufficient conditions of the worm propagation in the late stage are discussed.Finally,the scale of the worm propagation is discussed.The simulation validates the model.And the effect of propagation,time and vulnerable host parameter on the spread of worms is discussed.Furthermore,it is compared to the G-W model,and the advantage of it is illustrated.
format Article
id doaj-art-9782a6d6698d4cd9b29c036b9a8eb3fc
institution Kabale University
issn 1000-436X
language zho
publishDate 2015-05-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-9782a6d6698d4cd9b29c036b9a8eb3fc2025-01-14T06:46:20ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2015-05-0136667159692917Internet worm propagation model based on Markov chainHOUHan-xun ZUOWei GIUJian LIADa-yu JA stochastic model of Internet worms is presented.Firstly,the propagation of worms is modeled based on Markov chain.The limit distribution and invariant distribution of the model is discussed.Then,necessary and sufficient conditions of the worm propagation in the initial stage and sufficient conditions of the worm propagation in the late stage are discussed.Finally,the scale of the worm propagation is discussed.The simulation validates the model.And the effect of propagation,time and vulnerable host parameter on the spread of worms is discussed.Furthermore,it is compared to the G-W model,and the advantage of it is illustrated.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2015111/network securitywormMarkov chainstochastic model of Internet worms
spellingShingle HOUHan-xun Z
UOWei G
IUJian L
IADa-yu J
Internet worm propagation model based on Markov chain
Tongxin xuebao
network security
worm
Markov chain
stochastic model of Internet worms
title Internet worm propagation model based on Markov chain
title_full Internet worm propagation model based on Markov chain
title_fullStr Internet worm propagation model based on Markov chain
title_full_unstemmed Internet worm propagation model based on Markov chain
title_short Internet worm propagation model based on Markov chain
title_sort internet worm propagation model based on markov chain
topic network security
worm
Markov chain
stochastic model of Internet worms
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2015111/
work_keys_str_mv AT houhanxunz internetwormpropagationmodelbasedonmarkovchain
AT uoweig internetwormpropagationmodelbasedonmarkovchain
AT iujianl internetwormpropagationmodelbasedonmarkovchain
AT iadayuj internetwormpropagationmodelbasedonmarkovchain