Modeling Peer-to-Peer Botnet on Scale-Free Network

Peer-to-peer (P2P) botnets have emerged as one of the serious threats to Internet security. To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. Explicit mathematical analysis demonstrate...

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Main Authors: Liping Feng, Hongbin Wang, Qi Han, Qingshan Zhao, Lipeng Song
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/212478
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author Liping Feng
Hongbin Wang
Qi Han
Qingshan Zhao
Lipeng Song
author_facet Liping Feng
Hongbin Wang
Qi Han
Qingshan Zhao
Lipeng Song
author_sort Liping Feng
collection DOAJ
description Peer-to-peer (P2P) botnets have emerged as one of the serious threats to Internet security. To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. Explicit mathematical analysis demonstrates that the model has a globally stable endemic equilibrium when infection rate is greater than a critical value. Meanwhile, we find that, in scale-free network, the critical value is very little. Hence, it is unrealistic to completely dispel the P2P botnet. Numerical simulations show that one can take effective countermeasures to reduce the scale of P2P botnet or delay its outbreak. Our findings can provide meaningful instruction to network security management.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-5001994f530848b3b429093f2e262cea2025-02-03T05:44:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/212478212478Modeling Peer-to-Peer Botnet on Scale-Free NetworkLiping Feng0Hongbin Wang1Qi Han2Qingshan Zhao3Lipeng Song4Department of Computer Science and Technology, Xinzhou Teachers University, Xinzhou 034000, ChinaDepartment of Computer Science and Technology, Xinzhou Teachers University, Xinzhou 034000, ChinaSchool of Electronic and Information Engineering, Chongqing University of Science and Technology, Chongqing 401331, ChinaDepartment of Computer Science and Technology, Xinzhou Teachers University, Xinzhou 034000, ChinaDepartment of Computer Science and Technology, North University of China, Taiyuan 030051, ChinaPeer-to-peer (P2P) botnets have emerged as one of the serious threats to Internet security. To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. Explicit mathematical analysis demonstrates that the model has a globally stable endemic equilibrium when infection rate is greater than a critical value. Meanwhile, we find that, in scale-free network, the critical value is very little. Hence, it is unrealistic to completely dispel the P2P botnet. Numerical simulations show that one can take effective countermeasures to reduce the scale of P2P botnet or delay its outbreak. Our findings can provide meaningful instruction to network security management.http://dx.doi.org/10.1155/2014/212478
spellingShingle Liping Feng
Hongbin Wang
Qi Han
Qingshan Zhao
Lipeng Song
Modeling Peer-to-Peer Botnet on Scale-Free Network
Abstract and Applied Analysis
title Modeling Peer-to-Peer Botnet on Scale-Free Network
title_full Modeling Peer-to-Peer Botnet on Scale-Free Network
title_fullStr Modeling Peer-to-Peer Botnet on Scale-Free Network
title_full_unstemmed Modeling Peer-to-Peer Botnet on Scale-Free Network
title_short Modeling Peer-to-Peer Botnet on Scale-Free Network
title_sort modeling peer to peer botnet on scale free network
url http://dx.doi.org/10.1155/2014/212478
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AT qingshanzhao modelingpeertopeerbotnetonscalefreenetwork
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