Dynamical behavior of computer virus on Internet |
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Authors: | Xie Han |
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Institution: | Key Laboratory of Instrumentation Science and Dynamic Measurement, North University of China, Ministry of Education, Taiyuan 030051, PR China National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan, 030051 Shanxi, PR China |
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Abstract: | In this paper, we presented a computer virus model using an SIRS model and the threshold value R0 determining whether the disease dies out is obtained. If R0 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. |
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Keywords: | Computer virus Time delay Global stability |
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