Modeling Computer Virus and Its Dynamics

Mei Peng, Xing He, Junjian Huang and Tao Dong

Mathematical Problems in Engineering, 2013, vol. 2013, 1-5

Abstract:

Based on that the computer will be infected by infected computer and exposed computer, and some of the computers which are in suscepitible status and exposed status can get immunity by antivirus ability, a novel coumputer virus model is established. The dynamic behaviors of this model are investigated. First, the basic reproduction number , which is a threshold of the computer virus spreading in internet, is determined. Second, this model has a virus-free equilibrium , which means that the infected part of the computer disappears, and the virus dies out, and is a globally asymptotically stable equilibrium if . Third, if then this model has only one viral equilibrium , which means that the computer persists at a constant endemic level, and is also globally asymptotically stable. Finally, some numerical examples are given to demonstrate the analytical results.

Date: 2013
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2013/842614.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2013/842614.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:842614

DOI: 10.1155/2013/842614

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().