An SLBRS Model with Vertical Transmission of Computer Virus over the Internet. (27th September 2012)

• Record Type: Journal Article
• Authors: Yang, Maobin; Zhang, Zhufan; Li, Qiang; Zhang, Gang
• Other Names: Liu Yanbing Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2012(2012)
• Publication Date: 2012-09-27
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2012/925648
• Languages: English
• ISSNs: 1026-0226

Abstract

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 thresholdℛ 0 . Specially, virus-free equilibrium is globally asymptotically stable ifℛ 0 ≤ 1, whereas the viral equilibrium is globally asymptotically stable ifℛ 0 > 1 . Next, the sensitivity analysis ofℛ 0 to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively.