Bibliographic Details
| Title: |
Global dynamics of a novel multi-group model for computer worms. |
| Authors: |
Gong Yong-Wang1,2 gong_yw@126.com, Song Yu-Rong1, Jiang Guo-Ping1 |
| Source: |
Chinese Physics B. 2013, Vol. 22 Issue 4, p1-7. 7p. |
| Subjects: |
Computer worms, Computer network security, Local area networks, Lyapunov functions, Microsoft operating systems, Security systems |
| Abstract: |
In this paper, we study worm dynamics in computer networks composed of many autonomous systems. A novel multigroup SIQR (susceptible-infected-quarantined-removed) model is proposed for computer worms by explicitly considering anti-virus measures and the network infrastructure. Then, the basic reproduction number of worm Rq is derived and the global dynamics of the model are established. It is shown that if Rq is less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the worm dies out eventually, whereas, if Rq is greater than 1, one unique endemic equilibrium exists and it is globally asymptotically stable, thus the worm persists in the network. Finally, numerical simulations are given to illustrate the theoretical results. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
