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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 925648, 17 pages
http://dx.doi.org/10.1155/2012/925648
Research Article

An SLBRS Model with Vertical Transmission of Computer Virus over the Internet

School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 5 July 2012; Revised 20 August 2012; Accepted 23 August 2012

Academic Editor: Yanbing Liu

Copyright © 2012 Maobin Yang 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

By incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed in this paper. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold . Specially, virus-free equilibrium is globally asymptotically stable if , whereas the viral equilibrium is globally asymptotically stable if . Next, the sensitivity analysis of to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively.