Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254869 | Chaos, Solitons & Fractals | 2015 | 9 Pages |
Abstract
Based on a set of reasonable assumptions, the dynamical features of a novel computer virus model in latent period is proposed in this paper. Through qualitative analysis, we obtain the basic reproduction number R0. Furthermore, it is shown that the model have a infection-free equilibrium and a unique infection equilibrium (positive equilibrium). Using Lyapunov function theory, it is proved that the infection-free equilibrium is globally asymptotically stable if R0<1, implying that the virus would eventually die out. And by means of a classical geometric approach, the infection equilibrium is globally asymptotically stable if R0>1. Finally, the numerical simulations are carried out to illustrate the feasibility of the obtained results.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Zhixing Hu, Hongwei Wang, Fucheng Liao, Wanbiao Ma,