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    A Mean-Field Analysis of a Network Behavioral-Epidemic Model

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    Access Status
    Open access
    Authors
    Frieswijk, K.
    Zino, L.
    Ye, Mengbin
    Rizzo, A.
    Cao, M.
    Date
    2022
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Frieswijk, K. and Zino, L. and Ye, M. and Rizzo, A. and Cao, M. 2022. A Mean-Field Analysis of a Network Behavioral-Epidemic Model. IEEE Control Systems Letters. 6: pp. 2533-2538.
    Source Title
    IEEE Control Systems Letters
    DOI
    10.1109/LCSYS.2022.3168260
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    Remarks

    © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

    URI
    http://hdl.handle.net/20.500.11937/89028
    Collection
    • Curtin Research Publications
    Abstract

    The spread of an epidemic disease and the population's collective behavioral response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has been overlooked in mathematical models, limiting their real-world applicability. To address this gap, we propose and analyse a behavioral-epidemic model, in which a susceptible-infected-susceptible epidemic model and an evolutionary game-theoretic decision-making mechanism concerning the use of self-protective measures are coupled. Through a mean-field approach, we characterize the asymptotic behavior of the system, deriving conditions for global convergence to a disease-free equilibrium and characterizing the endemic equilibria of the system and their (local) stability properties. Interestingly, for a certain range of the model parameters, we prove global convergence to a limit cycle, characterized by periodic epidemic outbreaks and collective behavioral response.

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