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A Paradigm for Modeling Infectious Diseases: Assessing Malware Spread in Early-Stage Outbreaks

Author

Listed:
  • Egils Ginters

    (Information Technology Institute, Riga Technology University, LV-1048 Riga, Latvia)

  • Uga Dumpis

    (Department of Internal Medicine, University of Latvia, LV-1004 Riga, Latvia)

  • Laura Calvet Liñán

    (Telecommunications and Systems Engineering Department, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Spain)

  • Miquel Angel Piera Eroles

    (Telecommunications and Systems Engineering Department, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Spain)

  • Kawa Nazemi

    (Human-Computer Interaction and Visual Analytics, Darmstadt University of Applied Sciences, 64295 Darmstadt, Germany)

  • Andrejs Matvejevs

    (Institute of Applied Mathematics, Riga Technology University, LV-1048 Riga, Latvia)

  • Mario Arturo Ruiz Estrada

    (Faculty of Economics and Administration, University of Malaya, Kuala Lumpur 0603, Malaysia)

Abstract

As digitalization and artificial intelligence advance, cybersecurity threats intensify, making malware—a type of software installed without authorization to harm users—an increasingly urgent concern. Due to malware’s social and economic impacts, accurately modeling its spread has become essential. While diverse models exist for malware propagation, their selection tends to be intuitive, often overlooking the unique aspects of digital environments. Key model choices include deterministic vs. stochastic, planar vs. spatial, analytical vs. simulation-based, and compartment-based vs. individual state-tracking models. In this context, our study assesses fundamental infection spread models to determine those most applicable to malware propagation. It is organized in two parts: the first examines principles of deterministic and stochastic infection models, and the second provides a comparative analysis to evaluate model suitability. Key criteria include scalability, robustness, complexity, workload, transparency, and manageability. Using consistent initial conditions, control examples are analyzed through Python-based numerical methods and agent-based simulations in NetLogo. The findings yield practical insights and recommendations, offering valuable guidance for researchers and cybersecurity professionals in applying epidemiological models to malware spread.

Suggested Citation

  • Egils Ginters & Uga Dumpis & Laura Calvet Liñán & Miquel Angel Piera Eroles & Kawa Nazemi & Andrejs Matvejevs & Mario Arturo Ruiz Estrada, 2024. "A Paradigm for Modeling Infectious Diseases: Assessing Malware Spread in Early-Stage Outbreaks," Mathematics, MDPI, vol. 13(1), pages 1-35, December.
  • Handle: RePEc:gam:jmathe:v:13:y:2024:i:1:p:91-:d:1555812
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    References listed on IDEAS

    as
    1. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    2. Hosseini, Soodeh & Azgomi, Mohammad Abdollahi, 2018. "The dynamics of an SEIRS-QV malware propagation model in heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 803-817.
    Full references (including those not matched with items on IDEAS)

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