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Journal of Control Science and Engineering
Volume 2017 (2017), Article ID 9360430, 9 pages
https://doi.org/10.1155/2017/9360430
Research Article

Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System

1School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China
2Department of Law and Economics, Mediterranea University of Reggio Calabria, Via dei Bianchi 2, 89127 Reggio Calabria, Italy
3ICRIOS, Bocconi University, Milan, Italy

Correspondence should be addressed to Zizhen Zhang

Received 6 March 2017; Revised 21 May 2017; Accepted 25 May 2017; Published 20 June 2017

Academic Editor: Petko Petkov

Copyright © 2017 Zizhen Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A delayed computer virus model with antidote in vulnerable system is investigated. Local stability of the endemic equilibrium and existence of Hopf bifurcation are discussed by analyzing the associated characteristic equation. Further, direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are investigated by using the normal form theory and the center manifold theorem. Finally, numerical simulations are presented to show consistency with the obtained results.