Modeling self-propagating malware with epidemiological models

Abstract Self-propagating malware (SPM) is responsible for large financial losses and major data breaches with devastating social impacts that cannot be understated. Well-known campaigns such as WannaCry and Colonial Pipeline have been able to propagate rapidly on the Internet and cause widespread s...

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Main Authors: Alesia Chernikova, Nicolò Gozzi, Nicola Perra, Simona Boboila, Tina Eliassi-Rad, Alina Oprea
Format: Article
Language:English
Published: SpringerOpen 2023-08-01
Series:Applied Network Science
Subjects:
Online Access:https://doi.org/10.1007/s41109-023-00578-z
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author Alesia Chernikova
Nicolò Gozzi
Nicola Perra
Simona Boboila
Tina Eliassi-Rad
Alina Oprea
author_facet Alesia Chernikova
Nicolò Gozzi
Nicola Perra
Simona Boboila
Tina Eliassi-Rad
Alina Oprea
author_sort Alesia Chernikova
collection DOAJ
description Abstract Self-propagating malware (SPM) is responsible for large financial losses and major data breaches with devastating social impacts that cannot be understated. Well-known campaigns such as WannaCry and Colonial Pipeline have been able to propagate rapidly on the Internet and cause widespread service disruptions. To date, the propagation behavior of SPM is still not well understood. As result, our ability to defend against these cyber threats is still limited. Here, we address this gap by performing a comprehensive analysis of a newly proposed epidemiological-inspired model for SPM propagation, the Susceptible-Infected-Infected Dormant-Recovered (SIIDR) model. We perform a theoretical analysis of the SIIDR model by deriving its basic reproduction number and studying the stability of its disease-free equilibrium points in a homogeneous mixed system. We also characterize the SIIDR model on arbitrary graphs and discuss the conditions for stability of disease-free equilibrium points. We obtain access to 15 WannaCry attack traces generated under various conditions, derive the model’s transition rates, and show that SIIDR fits the real data well. We find that the SIIDR model outperforms more established compartmental models from epidemiology, such as SI, SIS, and SIR, at modeling SPM propagation.
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spelling doaj.art-e88104c4a9624d8eb27711fcb00459a72023-11-19T12:42:00ZengSpringerOpenApplied Network Science2364-82282023-08-018114310.1007/s41109-023-00578-zModeling self-propagating malware with epidemiological modelsAlesia Chernikova0Nicolò Gozzi1Nicola Perra2Simona Boboila3Tina Eliassi-Rad4Alina Oprea5Northeastern UniversityISI FoundationSchool of Mathematical Sciences, Queen Mary University of LondonNortheastern UniversityNortheastern UniversityNortheastern UniversityAbstract Self-propagating malware (SPM) is responsible for large financial losses and major data breaches with devastating social impacts that cannot be understated. Well-known campaigns such as WannaCry and Colonial Pipeline have been able to propagate rapidly on the Internet and cause widespread service disruptions. To date, the propagation behavior of SPM is still not well understood. As result, our ability to defend against these cyber threats is still limited. Here, we address this gap by performing a comprehensive analysis of a newly proposed epidemiological-inspired model for SPM propagation, the Susceptible-Infected-Infected Dormant-Recovered (SIIDR) model. We perform a theoretical analysis of the SIIDR model by deriving its basic reproduction number and studying the stability of its disease-free equilibrium points in a homogeneous mixed system. We also characterize the SIIDR model on arbitrary graphs and discuss the conditions for stability of disease-free equilibrium points. We obtain access to 15 WannaCry attack traces generated under various conditions, derive the model’s transition rates, and show that SIIDR fits the real data well. We find that the SIIDR model outperforms more established compartmental models from epidemiology, such as SI, SIS, and SIR, at modeling SPM propagation.https://doi.org/10.1007/s41109-023-00578-zSelf-propagating malwareCompartmental modelsEpidemiologyModelingDynamical systems
spellingShingle Alesia Chernikova
Nicolò Gozzi
Nicola Perra
Simona Boboila
Tina Eliassi-Rad
Alina Oprea
Modeling self-propagating malware with epidemiological models
Applied Network Science
Self-propagating malware
Compartmental models
Epidemiology
Modeling
Dynamical systems
title Modeling self-propagating malware with epidemiological models
title_full Modeling self-propagating malware with epidemiological models
title_fullStr Modeling self-propagating malware with epidemiological models
title_full_unstemmed Modeling self-propagating malware with epidemiological models
title_short Modeling self-propagating malware with epidemiological models
title_sort modeling self propagating malware with epidemiological models
topic Self-propagating malware
Compartmental models
Epidemiology
Modeling
Dynamical systems
url https://doi.org/10.1007/s41109-023-00578-z
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