Analysis of a Mathematical Model for Worm Virus Propagation with Time Delay | IEEE Conference Publication | IEEE Xplore

Analysis of a Mathematical Model for Worm Virus Propagation with Time Delay


Abstract:

Considering the characteristics of the propagation of worm, we can analyze it by epidemic model. In this paper, considering that to re-assembly system and the use of anti...Show More

Abstract:

Considering the characteristics of the propagation of worm, we can analyze it by epidemic model. In this paper, considering that to re-assembly system and the use of anti-virus software will take a period of time, so we introduce a time-delay to describe this period of time. On this basis, we build a SIDRQ model for Internet worm virus propagation depended on the two-factor model. By using the theory of differential equations, the dynamical properties of the model is analyzed, the regularity of Internet worm virus propagation is gained and numerical simulation is presented. The analysis techniques of the mathematical model provide theoretical foundation of control and forecast for Internet worm.
Date of Conference: 28-30 December 2009
Date Added to IEEE Xplore: 15 January 2010
ISBN Information:
Conference Location: Dubai, United Arab Emirates

I. Introduction

The emergence of the worm to people's lives brought great losses. In order to provide some help to prevent the worms, computer viruses have been studied for a long time [1]–[4]. The spread of worm is similar to the spread of infectious diseases, but the spread of infectious diseases and different, such as: Code Red worm propagation velocity by bandwidth constraints. In view of this, Zou C C introduction of dynamic rates, the establishment of a two-factor model[5]. However, two-factor model did not consider the recovery of infected hosts. At the same time, As a result of abnormalities found in the host, the host for detection of anti-virus will take some time, we can use to describe this period of time delay, and we will delay it as the recovery period. In this paper, the dynamics of infectious diseases through research methods, in the two-factor model based on the introduction of time-delay, the establishment of a new worm propagation model of theoretical analysis with the spread of worms

References

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