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The pulse treatment of computer viruses: a modeling study
Unlike new medical procedures, new antivirus software can be disseminated rapidly through the Internet and takes effect immediately after it is run. As a result, a considerable number of infected computers can be cured almost simultaneously. Consequently, it is of practical importance to understand how pulse treatment affects the spread of computer viruses. For this purpose, an impulsive malware propagation model is proposed. To the best of our knowledge, this is the first computer virus model that takes into account the effect of pulse treatment. The dynamic properties of this model are investigated comprehensively. Specifically, it is found that (a) the virus-free periodic solution is globally asymptotically stable when the basic reproduction ratio (BRR) is less than unity, (b) infections are permanent when the BRR exceeds unity, and (c) a locally asymptotically stable viral periodic solution bifurcates from the virus-free periodic solution when the BRR goes through unity. A close inspection of the influence of different model parameters on the BRR allows us to suggest some feasible measures of eradicating electronic infections.
History
Journal
Nonlinear DynamicsVolume
76Issue
2Pagination
1379 - 1393Publisher
SpringerLocation
Dordrecht, The NetherlandsPublisher DOI
ISSN
0924-090XeISSN
1573-269XLanguage
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2014, Springer Science+Business Media DordrechtUsage metrics
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No categories selectedKeywords
computer virusepidemic modelpulse treatmentbasic reproduction ratiovirus-free periodic solutionglobal stabilityviral permanenceviral periodic solutionsupercritical bifurcationScience & TechnologyTechnologyEngineering, MechanicalMechanicsEngineeringPROPAGATION MODELPERIODIC-SOLUTIONSMALICIOUS OBJECTSVACCINATIONSPREADTRANSMISSIONSTABILITYMEASLES
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