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A new epidemic model of computer viruses

journal contribution
posted on 2014-06-01, 00:00 authored by Luxing YangLuxing Yang, X Yang
This paper addresses the epidemiological modeling of computer viruses. By incorporating the effect of removable storage media, considering the possibility of connecting infected computers to the Internet, and removing the conservative restriction on the total number of computers connected to the Internet, a new epidemic model is proposed. Unlike most previous models, the proposed model has no virus-free equilibrium and has a unique endemic equilibrium. With the aid of the theory of asymptotically autonomous systems as well as the generalized Poincare-Bendixson theorem, the endemic equilibrium is shown to be globally asymptotically stable. By analyzing the influence of different system parameters on the steady number of infected computers, a collection of policies is recommended to prohibit the virus prevalence.

History

Journal

Communications in nonlinear science and numerical simulation

Volume

19

Pagination

1935-1944

Location

Amsterdam, The Netherlands

ISSN

1007-5704

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2013, Elsevier B.V.

Issue

6

Publisher

Elsevier