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Dynamical behavior of computer virus on internet. (English) Zbl 1209.68139
Summary: We presented a computer virus model using an SIRS model and the threshold value $R_{0}$ determining whether the disease dies out is obtained. If $R_{0}$ is less than one, the disease-free equilibrium is globally asymptotically stable. By using the time delay as a bifurcation parameter, the local stability and Hopf bifurcation for the endemic state is investigated. Numerical results demonstrate that the system has periodic solution when time delay is larger than a critical values. The obtained results may provide some new insight to prevent the computer virus.

##### MSC:
 68N99 Software 68M11 Internet topics
##### Keywords:
computer virus; time delay; global stability
Full Text:
##### References:
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