Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model

The advanced persistent distributed denial-of-service (APDDoS) attack is a fairly significant threat to cybersecurity. Formulating a mathematical model for accurate prediction of APDDoS attack is important. However, the dynamical model of APDDoS attack has barely been reported. This paper first prop...

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Main Authors: Chunming Zhang, Jingwei Xiao
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Security and Communication Networks
Online Access:http://dx.doi.org/10.1155/2018/5353060
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spelling doaj-631b8b8f1a1b4b639809356ef03b0f292020-11-24T23:54:50ZengHindawi-WileySecurity and Communication Networks1939-01141939-01222018-01-01201810.1155/2018/53530605353060Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical ModelChunming Zhang0Jingwei Xiao1School of Information Engineering, Guangdong Medical University, Dongguan 523808, ChinaSchool of Information Engineering, Guangdong Medical University, Dongguan 523808, ChinaThe advanced persistent distributed denial-of-service (APDDoS) attack is a fairly significant threat to cybersecurity. Formulating a mathematical model for accurate prediction of APDDoS attack is important. However, the dynamical model of APDDoS attack has barely been reported. This paper first proposes a novel dynamical model of APDDoS attack to understand the mechanisms of APDDoS attack. Then, the attacked threshold of this model is calculated. The global stability of attack-free and attacked equilibrium are both proved. The influences of the model’s parameters on attacked equilibrium are discussed. Eventually, the main conclusions of the theoretical analysis are examined through computer simulations.http://dx.doi.org/10.1155/2018/5353060
collection DOAJ
language English
format Article
sources DOAJ
author Chunming Zhang
Jingwei Xiao
spellingShingle Chunming Zhang
Jingwei Xiao
Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model
Security and Communication Networks
author_facet Chunming Zhang
Jingwei Xiao
author_sort Chunming Zhang
title Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model
title_short Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model
title_full Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model
title_fullStr Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model
title_full_unstemmed Stability Analysis of an Advanced Persistent Distributed Denial-of-Service Attack Dynamical Model
title_sort stability analysis of an advanced persistent distributed denial-of-service attack dynamical model
publisher Hindawi-Wiley
series Security and Communication Networks
issn 1939-0114
1939-0122
publishDate 2018-01-01
description The advanced persistent distributed denial-of-service (APDDoS) attack is a fairly significant threat to cybersecurity. Formulating a mathematical model for accurate prediction of APDDoS attack is important. However, the dynamical model of APDDoS attack has barely been reported. This paper first proposes a novel dynamical model of APDDoS attack to understand the mechanisms of APDDoS attack. Then, the attacked threshold of this model is calculated. The global stability of attack-free and attacked equilibrium are both proved. The influences of the model’s parameters on attacked equilibrium are discussed. Eventually, the main conclusions of the theoretical analysis are examined through computer simulations.
url http://dx.doi.org/10.1155/2018/5353060
work_keys_str_mv AT chunmingzhang stabilityanalysisofanadvancedpersistentdistributeddenialofserviceattackdynamicalmodel
AT jingweixiao stabilityanalysisofanadvancedpersistentdistributeddenialofserviceattackdynamicalmodel
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