Global dynamics of a novel multi-group model for computer worms |
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| Authors: | Gong Yong-Wang a b Song Yu-Rong a and Jiang Guo-Ping |
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| Affiliation: | a) a) College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China b) School of Information Engineering, Yancheng Institute of Technology, Yancheng 224051, China |
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| 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 R0 is derived and the global dynamics of the model are established. It is shown that if R0 is less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the worm dies out eventually, whereas, if R0 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. |
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| Keywords: | computer worm multi-group model Lyapunov function global dynamics |
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