Stability analysis of a computer virus model in latent period

Zhixing Hu, Hongwei Wang, Fucheng Liao and Wanbiao Ma

Chaos, Solitons & Fractals, 2015, vol. 75, issue C, 20-28

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:75:y:2015:i:c:p:20-28

DOI: 10.1016/j.chaos.2015.02.001

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