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The pulse treatment of computer viruses: a modeling study

journal contribution
posted on 2014-04-01, 00:00 authored by Luxing YangLuxing Yang, X Yang
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 Dynamics

Volume

76

Pagination

1379-1393

Location

Dordrecht, The Netherlands

ISSN

0924-090X

eISSN

1573-269X

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2014, Springer Science+Business Media Dordrecht

Issue

2

Publisher

Springer

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