Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks
2015 ◽
Vol 2015
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pp. 1-15
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Keyword(s):
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.
2013 ◽
Vol 23
(12)
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pp. 1350194
2016 ◽
Vol 2016
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pp. 1-21
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2013 ◽
Vol 2013
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pp. 1-9
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