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      Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network

      Journal of Applied Mathematics
      Hindawi Limited

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          Abstract

          A delayed SEIQRS model for the transmission of malicious objects in computer network is considered in this paper. Local stability of the positive equilibrium of the model and existence of local Hopf bifurcation are investigated by regarding the time delay due to the temporary immunity period after which a recovered computer may be infected again. Further, the properties of the Hopf bifurcation are studied by using the normal form method and center manifold theorem. Numerical simulations are also presented to support the theoretical results.

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          Most cited references12

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          SEIRS epidemic model with delay for transmission of malicious objects in computer network

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            SEIQRS model for the transmission of malicious objects in computer network

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              • Record: found
              • Abstract: not found
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              Dynamic model of worms with vertical transmission in computer network

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                Author and article information

                Journal
                Journal of Applied Mathematics
                Journal of Applied Mathematics
                Hindawi Limited
                1110-757X
                1687-0042
                2014
                2014
                : 2014
                :
                : 1-8
                Article
                10.1155/2014/492198
                cb25ae59-3533-42c5-a50b-605c86fa34ec
                © 2014

                http://creativecommons.org/licenses/by/3.0/

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