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The impact of patch forwarding on the prevalence of computer virus: a theoretical assessment approach
Virus patches can be disseminated rapidly through computer networks and take effect as soon as they have been installed, which significantly enhances their virus-containing capability. This paper aims to theoretically assess the impact of patch forwarding on the prevalence of computer virus. For that purpose, a new malware epidemic model, which takes into full account the influence of patch forwarding, is proposed. The dynamics of the model is revealed. Specifically, besides the permanent susceptible equilibrium, this model may admit an infected or a patched or a mixed equilibrium. Criteria for the global stability of the four equilibria are given, respectively, accompanied with numerical examples. The obtained results show that the spectral radii of the patch-forwarding network and the virus-spreading network both have a marked impact on the prevalence of computer virus. The influence of some key factors on the prevalence of virus is also revealed. Based on these findings, some strategies of containing electronic virus are recommended.
History
Journal
Applied mathematical modellingVolume
43Pagination
110 - 125Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
Link to full text
ISSN
0307-904XLanguage
engPublication classification
C Journal article; C1.1 Refereed article in a scholarly journalCopyright notice
2016, Elsevier Inc.Usage metrics
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Keywords
Computer virusVirus patchNode-level epidemic modelEquilibriumGlobal stabilitySpectral radiusScience & TechnologyTechnologyPhysical SciencesEngineering, MultidisciplinaryMathematics, Interdisciplinary ApplicationsMechanicsEngineeringMathematicsPROPAGATION MODELDYNAMICSTRANSMISSIONINFORMATIONNETWORKSSPREADWORMSArtificial Intelligence and Image ProcessingDistributed Computing
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