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Title: Stability analysis of a computer virus propagation model with antidote in vulnerable system
Authors: Nguyễn, Hữu Khánh
Nguyễn, Bích Huy
Keywords: Computer virus
Virus-freee quilibrium
Endemic equilibrium
Global stability
Issue Date: 2017
Series/Report no.: Acta Mathematica Scientia;36B .- p.49-61
Abstract: We study a proposed model describing the propagation of computer virus in the network with antidote in vulnerable system. Mathematical analysis shows that dynamics of the spread of computer viruses is determined by the threshold R₀. If R₀ ≤1, the virus- free equilibrium is globally asymptotically stable, and if R₀ > 1, the 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. Through parameter analysis, some effective strategies for eliminating viruses are suggested.
Appears in Collections:Tạp chí quốc tế

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