Abstract

By incorporating the objective of keeping a low number of infected nodes and a high number of recovered nodes at a lower cost into a known computer virus model (the delay-varying SIRC model) extended by introducing quarantine, a novel model is described by means of the optimal control strategy and theoretically analyzed. Through the comparison of simulation results, it is shown that the propagation of computer virus with varying latency period can be suppressed effectively by the optimal control strategy.

Highlights

  • With the advance of computer software and hardware technology and communication technology, the number and sort of computer viruses have increased dramatically, which causes huge losses to the human society

  • By incorporating the objective of keeping a low number of infected nodes and a high number of recovered nodes at a lower cost into a known computer virus model extended by introducing quarantine, a novel model is described by means of the optimal control strategy and theoretically analyzed

  • Ren and Xu [16] introduced an interesting virus propagation model, known as the SIRC model, by considering the fact that when the virus enters into the susceptible computers, their latency periods vary and investigated the dynamics of the model

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Summary

Introduction

With the advance of computer software and hardware technology and communication technology, the number and sort of computer viruses have increased dramatically, which causes huge losses to the human society. Ren and Xu [16] introduced an interesting virus propagation model, known as the SIRC model, by considering the fact that when the virus enters into the susceptible computers, their latency periods vary and investigated the dynamics of the model. By incorporating the objective of keeping a low number of infected nodes and a high number of recovered nodes at the lower cost into a delay-varying computer virus propagation model (SIRC model) extended by introducing the new compartment quarantine, a novel model is described by means of the optimal control strategies associated with measures of quarantine and installing antivirus programs and firewalls and theoretically analyzed.

Mathematical Model
Optimal Control Problem
Numerical Simulations
Conclusions

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