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A SCIRS Model for Malware Propagation in Wireless Networks

  • Angel Martín del ReyEmail author
  • José Diamantino Hernández Guillén
  • Gerardo Rodríguez Sánchez
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 527)

Abstract

The main goal of this work is to propose a novel mathematical model to simulate malware spreading in wireless networks considering carrier devices (those devices that malware has reached but it is not able to carry out its malicious purposes for some reasons: incompatibility of the host’s operative system with the operative system targeted by the malware, etc.) Specifically, it is a SCIRS model (Susceptible-Carrier-Infectious-Recovered-Susceptible) where reinfection and vaccination are considered. The dynamic of this model is studied determining the stability of the steady states and the basic reproductive number. The most important control strategies are determined taking into account the explicit expression of the basic reproductive number.

Keywords

Wireless networks Mobile malware Spreading Mathematical modeling 

Notes

Acknowledgments

This work has been supported by Ministerio de Economía y Competitividad (Spain) and the European Union through FEDER funds under grants TIN2014-55325-C2-2-R, and MTM2015-69138-REDT. J.D. Hernández Guillén thanks Ministerio de Educación, Cultura y Deporte (Spain) for his departmental grant.

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Copyright information

© Springer International Publishing AG 2017

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Authors and Affiliations

  • Angel Martín del Rey
    • 1
    Email author
  • José Diamantino Hernández Guillén
    • 1
  • Gerardo Rodríguez Sánchez
    • 1
  1. 1.Department of Applied MathematicsUniversity of SalamancaSalamancaSpain

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