Global Stability of an Epidemic Model of Computer Virus

Xiaofan Yang,Bei Liu,Chenquan Gan

doi:10.1155/2014/456320

Xiaofan Yang, Bei Liu + Show 1 more

Open Access

https://doi.org/10.1155/2014/456320

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Abstract

With the rapid popularization of the Internet, computers can enter or leave the Internet increasingly frequently. In fact, no antivirus software can detect and remove all sorts of computer viruses. This implies that viruses would persist on the Internet. To better understand the spread of computer viruses in these situations, a new propagation model is established and analyzed. The unique equilibrium of the model is globally asymptotically stable, in accordance with the reality. A parameter analysis of the equilibrium is also conducted.

Highlights

The past few decades have witnessed the overflow of computer viruses
To portray the important feature of computer viruses that, in general, an infected computer has infectivity during its latent period, Yang et al [2] proposed an SLBS model, in which infected computers are divided into two groups: L computers and B computers, and every L computer possesses infectivity
Based on this model and the fact that, in general, an infected computer would possess temporary immunity when it is cured by installing the latest version of antivirus software, an SLBRS model is studied in [3]

Summary

Introduction

The past few decades have witnessed the overflow of computer viruses. What is more serious is that enormous financial losses and social panic have been caused by them [1]. To portray the important feature of computer viruses that, in general, an infected computer has infectivity during its latent period, Yang et al [2] proposed an SLBS (susceptible-latent-breaking-susceptible) model, in which infected computers are divided into two groups: L computers and B computers, and every L computer possesses infectivity Based on this model and the fact that, in general, an infected computer would possess temporary immunity when it is cured by installing the latest version of antivirus software, an SLBRS (susceptible-latent-breaking-recoveredsusceptible) model (see Figure 1) is studied in [3]. With the rapid advance of computer and communication technologies, it has never been easier to obtain the latest version of antivirus software This implies that every susceptible or latent computer can be recovered directly.

Model Formulation

Equilibrium

The Local Stability of the Equilibrium

Summary