Modeling and Bifurcation Research of a Worm Propagation Dynamical System with Time Delay
Joint Authors
Yang, Wei
Gao, Fuxiang
Zhang, Zhao
Yao, Yu
Xiang, Wenlong
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-03
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Both vaccination and quarantine strategy are adopted to control the Internet worm propagation.
By considering the interaction infection between computers and external removable devices, a worm propagation dynamical system with time delay under quarantine strategy is constructed based on anomaly intrusion detection system (IDS).
By regarding the time delay caused by time window of anomaly IDS as the bifurcation parameter, local asymptotic stability at the positive equilibrium and local Hopf bifurcation are discussed.
Through theoretical analysis, a threshold τ0 is derived.
When time delay is less than τ0, the worm propagation is stable and easy to predict; otherwise, Hopf bifurcation occurs so that the system is out of control and the containment strategy does not work effectively.
Numerical analysis and discrete-time simulation experiments are given to illustrate the correctness of theoretical analysis.
American Psychological Association (APA)
Yao, Yu& Zhang, Zhao& Xiang, Wenlong& Yang, Wei& Gao, Fuxiang. 2014. Modeling and Bifurcation Research of a Worm Propagation Dynamical System with Time Delay. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-469770
Modern Language Association (MLA)
Yao, Yu…[et al.]. Modeling and Bifurcation Research of a Worm Propagation Dynamical System with Time Delay. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-469770
American Medical Association (AMA)
Yao, Yu& Zhang, Zhao& Xiang, Wenlong& Yang, Wei& Gao, Fuxiang. Modeling and Bifurcation Research of a Worm Propagation Dynamical System with Time Delay. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-469770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469770