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2014 Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay
Haitao Song, Qiaochu Wang, Weihua Jiang
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/929580

Abstract

A computer virus model with infection delay and recovery delay is considered. The sufficient conditions for the global stability of the virus infection equilibrium are established. We show that the time delay can destabilize the virus infection equilibrium and give rise to Hopf bifurcations and stable periodic orbits. By the normal form and center manifold theory, the direction of the Hopf bifurcation and stability of the bifurcating periodic orbits are determined. Numerical simulations are provided to support our theoretical conclusions.

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Haitao Song. Qiaochu Wang. Weihua Jiang. "Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/929580

Information

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

zbMATH: 1405.68018
MathSciNet: MR3173341
Digital Object Identifier: 10.1155/2014/929580

Rights: Copyright © 2014 Hindawi

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