The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks
Passive worms are prone to spreading through Peer-to-Peer networks, and they pose a great threat to the security of the network. In this paper, considering network heterogeneity and the number of hops a search can reach, we propose a novel mathematical model to study the dynamics of the propagation...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/1656907 |
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| _version_ | 1849690815798968320 |
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| author | Shujuan Zhang Zhen Jin Juan Zhang |
| author_facet | Shujuan Zhang Zhen Jin Juan Zhang |
| author_sort | Shujuan Zhang |
| collection | DOAJ |
| description | Passive worms are prone to spreading through Peer-to-Peer networks, and they pose a great threat to the security of the network. In this paper, considering network heterogeneity and the number of hops a search can reach, we propose a novel mathematical model to study the dynamics of the propagation of passive worms. For the proposed model, the basic reproduction number R0 is derived by employing the existence of the positive equilibrium. And the stabilities of the worm-free equilibrium and positive equilibrium are analyzed. Moreover, we verify the rationality of the model established by comparing the stochastic simulation with the numerical simulation. Finally, we examine the effect of the number of hops on the spread of passive worms and discuss the various immunization strategies. We find that if R0>1, the propagation speed of passive worms is accelerated with the increase of hop count d; if R0<1, the number of infected peers decreases rapidly with the increase of the value of d and drops to zero eventually. Results show that the network topology and the number of hops can affect the spread of passive worms. |
| format | Article |
| id | doaj-art-ed71532164854f27aed49aba68f752e4 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ed71532164854f27aed49aba68f752e42025-08-20T03:21:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/16569071656907The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P NetworksShujuan Zhang0Zhen Jin1Juan Zhang2School of Mechatronic Engineering, North University of China, Taiyuan 030051, Shanxi, ChinaSchool of Mechatronic Engineering, North University of China, Taiyuan 030051, Shanxi, ChinaComplex Systems Research Center, Shanxi University, Taiyuan 030006, Shanxi, ChinaPassive worms are prone to spreading through Peer-to-Peer networks, and they pose a great threat to the security of the network. In this paper, considering network heterogeneity and the number of hops a search can reach, we propose a novel mathematical model to study the dynamics of the propagation of passive worms. For the proposed model, the basic reproduction number R0 is derived by employing the existence of the positive equilibrium. And the stabilities of the worm-free equilibrium and positive equilibrium are analyzed. Moreover, we verify the rationality of the model established by comparing the stochastic simulation with the numerical simulation. Finally, we examine the effect of the number of hops on the spread of passive worms and discuss the various immunization strategies. We find that if R0>1, the propagation speed of passive worms is accelerated with the increase of hop count d; if R0<1, the number of infected peers decreases rapidly with the increase of the value of d and drops to zero eventually. Results show that the network topology and the number of hops can affect the spread of passive worms.http://dx.doi.org/10.1155/2018/1656907 |
| spellingShingle | Shujuan Zhang Zhen Jin Juan Zhang The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks Discrete Dynamics in Nature and Society |
| title | The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks |
| title_full | The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks |
| title_fullStr | The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks |
| title_full_unstemmed | The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks |
| title_short | The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks |
| title_sort | dynamical modeling analysis of the spreading of passive worms in p2p networks |
| url | http://dx.doi.org/10.1155/2018/1656907 |
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