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2014 Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network
Juan Liu
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/492198

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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Juan Liu. "Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/492198

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 1405.68017
Digital Object Identifier: 10.1155/2014/492198

Rights: Copyright © 2014 Hindawi

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