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Epidemiological Models Applied to Viruses in Computer Networks

TLDR
The basal virus reproduction rate gives some theoretical hints about how to avoid infections in a computer network as a function of time.
Abstract
To investigate the use of classical epidemiological models for studying computer virus propagation we described analogies between computer and population disease propagation using SIR (Susceptible-Infected-Removed) epidemiological models. By modifying these models with the introduction of anti-viral individuals we analyzed the stability of the disease free equilibrium points. Consequently, the basal virus reproduction rate gives some theoretical hints about how to avoid infections in a computer network. Numerical simulations show the dynamics of the process for several parameter values giving the number of infected machines as a function of time.

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Citations
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Journal ArticleDOI

A modified epidemiological model for computer viruses

TL;DR: A modified version of the SIR (Susceptible-Infected-Removed) model is presented and how its parameters are related to network characteristics is explained, and the relations among the model parameters in the several bifurcation conditions allow a network design minimizing viruses risks.
Journal ArticleDOI

SEIQRS model for the transmission of malicious objects in computer network

TL;DR: A model for the transmission of malicious objects in computer network and the effect of quarantine on recovered nodes is analyzed and the behavior of the susceptible, exposed, infected, quarantine, and recovered nodes in the computer network is analyzed.
Journal ArticleDOI

Dynamic model of worms with vertical transmission in computer network

TL;DR: An e-epidemic SEIRS model for the transmission of worms in computer network through vertical transmission is formulated and the behavior of the susceptible, exposed, infected and recovered nodes in the computer network with real parametric values is analyzed.
Journal ArticleDOI

Network virus-epidemic model with the point-to-group information propagation

TL;DR: The simulation results show that the proposed e-SEIR model can serve as a basis for understanding and simulating virus epidemics in network and how to control the network computer virus prevalence based on the equilibrium stability.
Journal ArticleDOI

Mathematical model on the transmission of worms in wireless sensor network

TL;DR: This paper proposes susceptible – exposed – infectious – recovered – susceptible with a vaccination compartment (SEIRS-V) to describe the dynamics of worm propagation with respect to time in WSN and proposes a compartmental epidemic model.
References
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Book

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.

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TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
Journal ArticleDOI

Computer immunology

TL;DR: A body of work on computational immune systems that behave analogously to the natural immune system and in some cases have been used to solve practical engineering problems such as computer security are described.
Journal ArticleDOI

Applications of Mathematics to Medical Problems

TL;DR: In this paper, the authors consider the life of an individual as a succession of events, one following the other, and the method of their movement becomes a study in kinetics, and can be approached by the methods ordinarily adopted in the study of such systems.
Journal ArticleDOI

Computers and epidemiology

TL;DR: The findings of computer virus epidemiology show that computer viruses are far less rife than many have claimed, that many fail to thrive, that even successful viruses spread at nowhere near the exponential rate, and that centralized reporting and response within an organization is an extremely effective defense.
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Consequently, the basal virus reproduction rate gives some theoretical hints about how to avoid infections in a computer network.