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A new epidemic model of computer viruses
This paper addresses the epidemiological modeling of computer viruses. By incorporating the effect of removable storage media, considering the possibility of connecting infected computers to the Internet, and removing the conservative restriction on the total number of computers connected to the Internet, a new epidemic model is proposed. Unlike most previous models, the proposed model has no virus-free equilibrium and has a unique endemic equilibrium. With the aid of the theory of asymptotically autonomous systems as well as the generalized Poincare-Bendixson theorem, the endemic equilibrium is shown to be globally asymptotically stable. By analyzing the influence of different system parameters on the steady number of infected computers, a collection of policies is recommended to prohibit the virus prevalence.
History
Journal
Communications in nonlinear science and numerical simulationVolume
19Issue
6Pagination
1935 - 1944Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
1007-5704Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2013, Elsevier B.V.Usage metrics
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computer virusepidemic modelendemic equilibriumglobal stabilityasymptotically autonomous systemScience & TechnologyPhysical SciencesTechnologyMathematics, AppliedMathematics, Interdisciplinary ApplicationsMechanicsPhysics, Fluids & PlasmasPhysics, MathematicalMathematicsPhysicsMALICIOUS OBJECTSSPREADTRANSMISSIONPREVALENCEWORMS
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