Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy
Worms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to the Internet. In general, users may immunize their computers with countermeasures in exposed and infectious state, which may take a period of time. Through theoretical analysis, time delay m...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/304868 |
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| author | Yu Yao Wenlong Xiang Andong Qu Ge Yu Fuxiang Gao |
| author_facet | Yu Yao Wenlong Xiang Andong Qu Ge Yu Fuxiang Gao |
| author_sort | Yu Yao |
| collection | DOAJ |
| description | Worms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to the Internet. In general, users may immunize their computers with countermeasures in exposed and infectious state, which may take a period of time. Through theoretical analysis, time delay may lead to Hopf bifurcation phenomenon so that the worm propagation system will be unstable and uncontrollable. In view of the above factors, a quarantine strategy is thus proposed in the study. In real network, unknown worms and worm variants may lead to great risks, which misuse detection system fails to detect. However, anomaly detection is of help in detecting these kinds of worm. Consequently, our proposed quarantine strategy is built on the basis of anomaly intrusion detection system. Numerical experiments show that the quarantine strategy can diminish the infectious hosts sharply. In addition, the threshold τ0 is much larger after using our quarantine strategy, which implies that people have more time to remove worms so that the system is easier to be stable and controllable without Hopf bifurcation. Finally, simulation results match numerical ones well, which fully supports our analysis. |
| format | Article |
| id | doaj-art-ff0034b4019e4ef2aeee696e2ca2307f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ff0034b4019e4ef2aeee696e2ca2307f2025-02-03T01:11:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/304868304868Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine StrategyYu Yao0Wenlong Xiang1Andong Qu2Ge Yu3Fuxiang Gao4Key Laboratory of Medical Image Computing of Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Medical Image Computing of Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Medical Image Computing of Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Medical Image Computing of Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Medical Image Computing of Ministry of Education, Northeastern University, Shenyang 110004, ChinaWorms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to the Internet. In general, users may immunize their computers with countermeasures in exposed and infectious state, which may take a period of time. Through theoretical analysis, time delay may lead to Hopf bifurcation phenomenon so that the worm propagation system will be unstable and uncontrollable. In view of the above factors, a quarantine strategy is thus proposed in the study. In real network, unknown worms and worm variants may lead to great risks, which misuse detection system fails to detect. However, anomaly detection is of help in detecting these kinds of worm. Consequently, our proposed quarantine strategy is built on the basis of anomaly intrusion detection system. Numerical experiments show that the quarantine strategy can diminish the infectious hosts sharply. In addition, the threshold τ0 is much larger after using our quarantine strategy, which implies that people have more time to remove worms so that the system is easier to be stable and controllable without Hopf bifurcation. Finally, simulation results match numerical ones well, which fully supports our analysis.http://dx.doi.org/10.1155/2012/304868 |
| spellingShingle | Yu Yao Wenlong Xiang Andong Qu Ge Yu Fuxiang Gao Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy Discrete Dynamics in Nature and Society |
| title | Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy |
| title_full | Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy |
| title_fullStr | Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy |
| title_full_unstemmed | Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy |
| title_short | Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy |
| title_sort | hopf bifurcation in an seidqv worm propagation model with quarantine strategy |
| url | http://dx.doi.org/10.1155/2012/304868 |
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