A mean-field analysis of a network behavioural-epidemic model
| Autor: | Frieswijk, Kathinka, Zino, Lorenzo, Ye, Mengbin, Rizzo, Alessandro, Cao, Ming |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | IEEE Control Systems Letters, 6: pp. 2533 - 2538, April 2022 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1109/LCSYS.2022.3168260 |
| Popis: | The spread of an epidemic disease and the population's collective behavioural 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 behavioural-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 characterise the asymptotic behaviour of the system, deriving conditions for global convergence to a disease-free equilibrium and characterising the endemic equilibria of the system and their (local) stability. Interestingly, for a certain range of the model parameters, we prove global convergence to a limit cycle, characterised by periodic epidemic outbreaks. Comment: Accepted for publication by IEEE Control Systems Letters (L-CSS) |
| Databáze: | arXiv |
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