Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 89, Issue 17, Pages 2307-2314Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2012.715388
Keywords
computer virus; virus propagation model; equilibrium; global asymptotic stability; SLBS model
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Funding
- Doctorate Foundation of Educational Ministry of China [20110191110022]
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By taking into account the fact that, in general, a computer immediately possesses infectivity as soon as it is infected, a novel computer virus propagation model, known as the SLBS model, is established. It is proved that the dynamic behaviour of the model is determined by a threshold R-0. Specifically, the virus-free equilibrium is globally asymptotically stable if R-0 <= 1, whereas the virulent equilibrium is globally asymptotically stable if 1 < R-0 <= 4. It is conjectured that the virulent equilibrium is also globally asymptotically stable if R-0 > 4. These results suggest some effective strategies for eradicating computer viruses distributed in the Internet.
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