yang-novelviruspatch-2015.pdf (1.24 MB)
A novel virus-patch dynamic model
The distributed patch dissemination strategies are a promising alternative to the conventional centralized patch dissemination strategies. This paper aims to establish a theoretical framework for evaluating the effectiveness of distributed patch dissemination mechanism. Assuming that the Internet offers P2P service for every pair of nodes on the network, a dynamic model capturing both the virus propagation mechanism and the distributed patch dissemination mechanism is proposed. This model takes into account the infected removable storage media and hence captures the interaction of patches with viruses better than the original SIPS model. Surprisingly, the proposed model exhibits much simpler dynamic properties than the original SIPS model. Specifically, our model admits only two potential (viral) equilibria and undergoes a fold bifurcation. The global stabilities of the two equilibria are determined. Consequently, the dynamical properties of the proposed model are fully understood. Furthermore, it is found that reducing the probability per unit time of disconnecting a node from the Internet benefits the containment of electronic viruses.
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Journal
PLoS oneVolume
10Issue
9Article number
e0137858Pagination
1 - 16Publisher
Public Library of ScienceLocation
San Francisco, Calif.Publisher DOI
Link to full text
eISSN
1932-6203Language
engPublication classification
C Journal article; C1.1 Refereed article in a scholarly journalCopyright notice
2015, Yang, YangUsage metrics
Keywords
internetprobabilitysoftwaresystem stabilitydynamical systemsnetwork analysisbandwidthsignal processingimmunityprobability distributioninfectious disease modelingScience & TechnologyMultidisciplinary SciencesScience & Technology - Other TopicsCOMPUTER VIRUSESPROPAGATIONINFORMATIONEPIDEMICSNETWORKSDistributed Computing
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