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      A Combinatorial Model of Malware Diffusion via Bluetooth Connections

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      PLoS ONE
      Public Library of Science

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          Abstract

          We outline here the mathematical expression of a diffusion model for cellphones malware transmitted through Bluetooth channels. In particular, we provide the deterministic formula underlying the proposed infection model, in its equivalent recursive (simple but computationally heavy) and closed form (more complex but efficiently computable) expression.

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          Most cited references1

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          Understanding the spreading patterns of mobile phone viruses

          We model the mobility of mobile phone users to study the fundamental spreading patterns characterizing a mobile virus outbreak. We find that while Bluetooth viruses can reach all susceptible handsets with time, they spread slowly due to human mobility, offering ample opportunities to deploy antiviral software. In contrast, viruses utilizing multimedia messaging services could infect all users in hours, but currently a phase transition on the underlying call graph limits them to only a small fraction of the susceptible users. These results explain the lack of a major mobile virus breakout so far and predict that once a mobile operating system's market share reaches the phase transition point, viruses will pose a serious threat to mobile communications.
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            Author and article information

            Contributors
            Role: Editor
            Journal
            PLoS One
            PLoS ONE
            plos
            plosone
            PLoS ONE
            Public Library of Science (San Francisco, USA )
            1932-6203
            2013
            21 March 2013
            : 8
            : 3
            : e59468
            Affiliations
            [1]Fondazione Bruno Kessler, Trento, Italy
            INSERM & Universite Pierre et Marie Curie, France
            Author notes

            Competing Interests: The authors have declared that no competing interests exist.

            Conceived and designed the experiments: SM GJ. Performed the experiments: SM GJ. Analyzed the data: SM GJ. Contributed reagents/materials/analysis tools: SM GJ. Wrote the paper: SM GJ.

            Article
            PONE-D-12-13239
            10.1371/journal.pone.0059468
            3605460
            23555677
            61218590-a036-4118-98e9-38f3b6614b8a
            Copyright @ 2013

            This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

            History
            : 7 May 2012
            : 18 February 2013
            Page count
            Pages: 12
            Funding
            The authors acknowledge funding by the EU FP7 Project EPIWORK. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript
            Categories
            Research Article
            Biology
            Computational Biology
            Population Modeling
            Infectious Disease Modeling
            Population Biology
            Epidemiology
            Social Epidemiology
            Computer Science
            Computer Applications
            Computer Modeling
            Computer Security
            Engineering
            Electrical Engineering
            Communications
            Mathematics
            Discrete Mathematics
            Combinatorics
            Computational Systems
            Mathematical Computing
            Medicine
            Epidemiology
            Disease Informatics
            Social Epidemiology
            Social and Behavioral Sciences
            Communications
            Sociology
            Social Networks

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