Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 940526, 11 pages
doi:10.1155/2008/940526
Research Article
Dynamical Models for Computer Viruses Propagation
Escola Politécnica da Universidade de São Paulo, Avenida Prof. Luciano Gualberto, travessa 3 - 158, 05508-900 São Paulo, SP, Brazil
Received 28 March 2008; Revised 9 May 2008; Accepted 30 May 2008
Academic Editor: Jose Balthazar
Copyright © 2008 José R. C. Piqueira and Felipe Barbosa Cesar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Nowadays, digital computer systems and networks are the main engineering
tools, being used in planning, design, operation, and control of
all sizes of building, transportation, machinery, business, and life maintaining
devices. Consequently, computer viruses became one of the most
important sources of uncertainty, contributing to decrease the reliability
of vital activities. A lot of antivirus programs have been developed, but
they are limited to detecting and removing infections, based on previous
knowledge of the virus code. In spite of having good adaptation capability,
these programs work just as vaccines against diseases and are not able
to prevent new infections based on the network state. Here, a trial on
modeling computer viruses propagation dynamics relates it to other notable
events occurring in the network permitting to establish preventive
policies in the network management. Data from three different viruses
are collected in the Internet and two different identification techniques,
autoregressive and Fourier analyses, are applied showing that it is possible
to forecast the dynamics of a new virus propagation by using the data
collected from other viruses that formerly infected the network.