Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability
type: Item
instance of: scholarly article
title: Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability
zbMATH Open document ID: 1248.68077
DOI: 10.1155/2012/693695
author: Luxing Yang
author: Xiaofan Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2012-10-19T00:00:00Z
review text: Summary: All the known models describing the propagation of virus codes were based on the assumption that a computer is uninfected at the time it is being connected to the Internet. In reality, however, it is much likely that infected computers are connected to the Internet. This paper is intended to investigate the propagation behavior of virus programs provided infected computers are connected to the Internet with positive probability. For that purpose, a new model characterizing the spread of computer virus is proposed. Theoretical analysis of this model indicates that (1) there is a unique (viral) equilibrium, and (2) this equilibrium is globally asymptotically stable. Further study shows that, by taking active measures, the percentage of infected computers can be made below an acceptable threshold value.
Mathematics Subject Classification ID: 68M11
Mathematics Subject Classification ID: 90B18
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 37N99
zbMATH DE Number: 6096241
zbMATH Keywords: propagation of virus codes
zbMATH Keywords: globally asymptotically stable equilibrium
Wikidata QID: Q58700709
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/693695
OpenAlex ID: W2006631307
cites work: A Framework for Modelling Trojans and Computer Virus Infection
cites work: Dynamical behavior of computer virus on internet
cites work: Dynamic model of worms with vertical transmission in computer network
cites work: A modified epidemiological model for computer viruses
cites work: Influence of removable devices on computer worms: dynamic analysis and control strategies
cites work: Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
cites work: Hopf bifurcation in an Internet worm propagation model with time delay in quarantine
cites work: Network virus-epidemic model with the point-to-group information propagation
cites work: On the Time Complexity of Computer Viruses
description: scientific article; zbMATH DE number 6096241