Article ID Journal Published Year Pages File Type
4632671 Applied Mathematics and Computation 2010 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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