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https://dspace.ctu.edu.vn/jspui/handle/123456789/5097
Title: | Dynamics of a Worm Propagation Model with Quarantine in Wireless Sensor Networks |
Authors: | Nguyễn, Hữu Khánh |
Keywords: | Wireless sensor networks Basic reproduction number Worm-freeequi librium Worm-endemic equilibrium Global stability |
Issue Date: | 2016 |
Series/Report no.: | Applied Mathematics & Information Sciences;10 .- p.1739-1746 |
Abstract: | We study the attacking behavior of possible worms inWireless Sensor Network (WSNs). Using epidemic theory, we propose a susceptible-infectious-quarantine-recovered (SIQR)model to describe dynamics of worms propagation with quarantine in the wireless sensor network. Mathematical analysis shows that dynamics of the spread of worms are determined by the threshold R₀. If R₀ ≤ 1, the worm-free equilibrium is globally asymptotically stable, and if R₀ > 1, the worm-endemic equilibrium is globally asymptotically stable. Lyapunov functional method as well as geometric approach are used for proving the global stability of equilibria. A numerical investigation is carried out to confirm the analytical results. As a result of parameter analysis, some effective strategies for eliminating worms are suggested. |
URI: | http://localhost:8080//jspui/handle/123456789/5097 |
Appears in Collections: | Tạp chí quốc tế |
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