Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy
Joint Authors
Gao, Fuxiang
Yang, Wei
Yao, Yu
Feng, Xiaodong
Xiang, Wenlong
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Internet worms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to Internet in the real world.
To begin with, a worm propagation model with time delay in vaccination is formulated.
Through theoretical analysis, it is proved that the worm propagation system is stable when the time delay is less than the threshold τ0 and Hopf bifurcation appears when time delay is equal to or greater than τ0.
Then, a worm propagation model with constant quarantine strategy is proposed.
Through quantitative analysis, it is found that constant quarantine strategy has some inhibition effect but does not eliminate bifurcation.
Considering all the above, we put forward impulsive quarantine strategy to eliminate worms.
Theoretical results imply that the novel proposed strategy can eliminate bifurcation and control the stability of worm propagation.
Finally, simulation results match numerical experiments well, which fully supports our analysis.
American Psychological Association (APA)
Yao, Yu& Feng, Xiaodong& Yang, Wei& Xiang, Wenlong& Gao, Fuxiang. 2014. Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-466549
Modern Language Association (MLA)
Yao, Yu…[et al.]. Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy. Mathematical Problems in Engineering No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-466549
American Medical Association (AMA)
Yao, Yu& Feng, Xiaodong& Yang, Wei& Xiang, Wenlong& Gao, Fuxiang. Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-466549
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466549