Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks
This paper is devoted to the study of an SIRS computer virus propagation model with two delays and multistate antivirus measures. We demonstrate that the system loses its stability and a Hopf bifurcation occurs when the delay passes through the corresponding critical value by choosing the possible c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/280856 |
| Summary: | This paper is devoted to the study of an SIRS computer virus propagation model with two
delays and multistate antivirus measures. We demonstrate that the system loses its stability
and a Hopf bifurcation occurs when the delay passes through the corresponding critical value
by choosing the possible combination of the two delays as the bifurcation parameter. Moreover,
the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are
determined by means of the center manifold theorem and the normal form theory. Finally,
some numerical simulations are performed to illustrate the obtained results. |
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| ISSN: | 1024-123X 1563-5147 |