Analysis of a Model for Computer Virus Transmission

Computer viruses remain a significant threat to computer networks. In this paper, the incorporation of new computers to the network and the removing of old computers from the network are considered. Meanwhile, the computers are equipped with antivirus software on the computer network. The computer v...

Full description

Bibliographic Details
Main Author: Peng Qin
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/720696
id doaj-6782247b75db486dbb44924541848c49
record_format Article
spelling doaj-6782247b75db486dbb44924541848c492020-11-25T00:24:43ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/720696720696Analysis of a Model for Computer Virus TransmissionPeng Qin0Institute of Signal Capturing and Processing Technology, North University of China, Taiyuan 030051, ChinaComputer viruses remain a significant threat to computer networks. In this paper, the incorporation of new computers to the network and the removing of old computers from the network are considered. Meanwhile, the computers are equipped with antivirus software on the computer network. The computer virus model is established. Through the analysis of the model, disease-free and endemic equilibrium points are calculated. The stability conditions of the equilibria are derived. To illustrate our theoretical analysis, some numerical simulations are also included. The results provide a theoretical basis to control the spread of computer virus.http://dx.doi.org/10.1155/2015/720696
collection DOAJ
language English
format Article
sources DOAJ
author Peng Qin
spellingShingle Peng Qin
Analysis of a Model for Computer Virus Transmission
Mathematical Problems in Engineering
author_facet Peng Qin
author_sort Peng Qin
title Analysis of a Model for Computer Virus Transmission
title_short Analysis of a Model for Computer Virus Transmission
title_full Analysis of a Model for Computer Virus Transmission
title_fullStr Analysis of a Model for Computer Virus Transmission
title_full_unstemmed Analysis of a Model for Computer Virus Transmission
title_sort analysis of a model for computer virus transmission
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description Computer viruses remain a significant threat to computer networks. In this paper, the incorporation of new computers to the network and the removing of old computers from the network are considered. Meanwhile, the computers are equipped with antivirus software on the computer network. The computer virus model is established. Through the analysis of the model, disease-free and endemic equilibrium points are calculated. The stability conditions of the equilibria are derived. To illustrate our theoretical analysis, some numerical simulations are also included. The results provide a theoretical basis to control the spread of computer virus.
url http://dx.doi.org/10.1155/2015/720696
work_keys_str_mv AT pengqin analysisofamodelforcomputervirustransmission
_version_ 1725352166814646272