Nonlinear Dynamics

, Volume 85, Issue 3, pp 1561–1569 | Cite as

A state feedback impulse model for computer worm control

Original Paper


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.


State 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).


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.School of ScienceBeijing University of Civil Engineering and ArchitectureBeijingChina
  2. 2.School of ForestryBeijing Forestry UniversityBeijingChina
  3. 3.Canvard CollegeBeijing Technology and Business UniversityBeijingChina
  4. 4.Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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