A state feedback impulse model for computer worm control
- 195 Downloads
Computer worm is a worldwide threat to the safety of Internet, which caused billions of dollars in damages over the past decade. Software patches have been widely used as one of approaches to protect computers against computer worms. In this study, an impulsive state feedback model was employed to study the transmission of computer worm and the preventive effect of operating system patching. The existence of order-1 periodic solution and its stability were proved with a novel method. The results demonstrated that the application of software patches is an effective approach to constrain the deluge of computer worm. Numerical simulation results were presented to support the theoretical analysis.
KeywordsState feedback Impulse model Semi-continuous system Computer worm Order-1 periodic solution
We would like to sincerely thank the reviewers for their careful reading of the original manuscript and many valuable comments and suggestions that greatly improved the presentation of this paper. This work is supported by the National Science Foundation of China (No. Z11371306), Beijing Higher Education Young Elite Teacher Project of China (No. YETP1655), Beijing Talents Fund (No. 2012D005017000003) and Youth Foundation of Beijing University of Civil Engineering and Architecture (No. Z12082).
- 5.Moore, D., Shannon, C., Voelker, G.M., Savage, S.: Requirements for containing self-propagating code. IEEE Internet Quar. 3(18), 1901–1919 (2003)Google Scholar
- 7.Dbendorfer, T., Plattner, B.: Host behaviour based early detection of worm outbreaks in internet backbones. In: Proceedings of the Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, WETICE, pp. 166–171 (2005)Google Scholar
- 10.Kephart, J.O., White, S.R.: Measuring and modeling computer virus prevalence. In: IEEE Computer Society Symposium on Research in Security and Privacy, pp. 2–15 (1993)Google Scholar
- 17.Lansun, C.: Pest control and geometric theory of semi-continuous dynamical system. J. Beihua Univ. (Natural Science Edition) 12(1), 1–9 (2011) (in Chinese) Google Scholar
- 24.Yanqian, Y.: Limit Cycle Theory. Shanghai Science and Technology Press, Shanghai (1984) (in Chinese) Google Scholar
- 25.Lefschetz, S.: Contribution to the Theory of Nonlinear Oscillations, vol. I. Princeton University Press, Princeton (1950)Google Scholar