## 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 Theory of software 68M11 Internet topics

### Keywords:

computer virus; time delay; global stability
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### References:

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