title: The Impact of the Network Topology on the Viral Prevalence: A Node-Based Approach.
abstract: This paper addresses the impact of the structure of the viral propagation network on the viral prevalence. For that purpose, a new epidemic model of computer virus, known as the node-based SLBS model, is proposed. Our analysis shows that the maximum eigenvalue of the underlying network is a key factor determining the viral prevalence. Specifically, the value range of the maximum eigenvalue is partitioned into three subintervals: viruses tend to extinction very quickly or approach extinction or persist depending on into which subinterval the maximum eigenvalue of the propagation network falls. Consequently, computer virus can be contained by adjusting the propagation network so that its maximum eigenvalue falls into the desired subinterval.
authors.affiliation: College of Computer Science, Chongqing University, Chongqing, China.
authors.forename: Lu-Xing
authors.initials: LX
authors.lastname: Yang
authors.affiliation: Department of Electrical and Electronic Engineering, Imperial College London, South Kensington Campus, London, United Kingdom.
authors.forename: Moez
authors.initials: M
authors.lastname: Draief
authors.affiliation: School of Software Engineering, Chongqing University, Chongqing, China.
authors.forename: Xiaofan
authors.initials: X
authors.lastname: Yang
mesh_terms: D016494:Computer Security; D003198:Computer Simulation; D020407:Internet