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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-5001994f530848b3b429093f2e262cea |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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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