Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy
Joint Authors
Gao, Fuxiang
Yao, Yu
Yu, Ge
Xiang, Wenlong
Qu, Andong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yao, Yu& Xiang, Wenlong& Qu, Andong& Yu, Ge& Gao, Fuxiang. 2012. Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-461901
Modern Language Association (MLA)
Yao, Yu…[et al.]. Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-461901
American Medical Association (AMA)
Yao, Yu& Xiang, Wenlong& Qu, Andong& Yu, Ge& Gao, Fuxiang. Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-461901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461901