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Spatio-Temporal Spreading of Mobile Malware: A Model Based on Difference Equations

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International Joint Conference (CISIS 2015)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 369))

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Abstract

In this work a novel mathematical model to simulate the spatio-temporal spreading of mobile malware is introduced. It is a compartmental model where the mobile devices are grouped into two classes: susceptibles and infected devices, and the malware spreads via bluetooth. There are few models dealing with the spreading of mobile malware using bluetooth connections and all of them only study the temporal evolution. Due to the main characteristics of bluetooth it is of interest to simulate not only the temporal evolution but also the spatial spreading, and consequently, this is the main goal of this work. In our model the global dynamic is governed by means of a system of difference equations and the transmission vector is defined by the bluetooth connections. Explicit conditions for spreading are given in terms of the number of susceptible individuals at a particular time step. These could serve as a basis for design control strategies.

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Acknowledgments

This work has been supported by Ministerio de Economía y Competitividad (Spain), and by Junta de Castilla y León (Spain).

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Salamanca, Salamanca, Spain

    A. Martín del Rey, A. Hernández Encinas, J. Martín Vaquero, A. Queiruga Dios & G. Rodríguez Sánchez

Authors
  1. A. Martín del Rey
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  2. A. Hernández Encinas
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  3. J. Martín Vaquero
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  4. A. Queiruga Dios
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  5. G. Rodríguez Sánchez
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Corresponding author

Correspondence to A. Martín del Rey .

Editor information

Editors and Affiliations

  1. Department of Civil Engineering, Escuela Politécnica Superior, University of Burgos, Burgos, Spain

    Álvaro Herrero

  2. Department of Civil Engineering, Escuela Politécnica Superior, University of Burgos, Burgos, Spain

    Bruno Baruque

  3. Technological Institute of Castilla y León, Burgos, Spain

    Javier Sedano

  4. University of Salamanca, Salamanca, Spain

    Héctor Quintián

  5. Plaza de la Merced S/N, University of Salamanca, Salamanca, Spain

    Emilio Corchado

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Martín del Rey, A., Hernández Encinas, A., Martín Vaquero, J., Queiruga Dios, A., Rodríguez Sánchez, G. (2015). Spatio-Temporal Spreading of Mobile Malware: A Model Based on Difference Equations. In: Herrero, Á., Baruque, B., Sedano, J., Quintián, H., Corchado, E. (eds) International Joint Conference. CISIS 2015. Advances in Intelligent Systems and Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-319-19713-5_24

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  • DOI: https://doi.org/10.1007/978-3-319-19713-5_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19712-8

  • Online ISBN: 978-3-319-19713-5

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