Stability analysis of a computer virus model in latent period

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.