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\iteman{io-port 06118958}
\itemau{Yang, Lu-Xing; Yang, Xiaofan; Zhu, Qingyi; Wen, Luosheng}
\itemti{A computer virus model with graded cure rates.}
\itemso{Nonlinear Anal., Real World Appl. 14, No. 1, 414-422 (2013).}
\itemab
Summary: A dynamical model characterizing the spread of computer viruses over the Internet is established, in which two assumptions are imposed: (1) a computer possesses infectivity once it is infected, and (2) latent computers have a lower cure rate than seizing computers. The qualitative properties of this model are fully studied. First, the basic reproduction number, $R_{0}$, for this model is determined. Second, by introducing appropriate Lyapunov functions, it is proved that the virus-free equilibrium is globally asymptotically stable if $R_{0}\leq 1$, whereas the viral equilibrium is globally asymptotically stable if $1<R_{0}\leq 4$. Next, the sensitivity analysis of $R_{0}$ to three system parameters is conducted, and the dependence of $R_{0}$ on the remaining system parameters is investigated. On this basis, a set of policies is recommended for eradicating viruses spreading across the Internet effectively.
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\itemut{computer virus; dynamical model; equilibrium; global stability; Lyapunov function; control strategy}
\itemli{doi:10.1016/j.nonrwa.2012.07.005}
\end