A Mean-Field Analysis of a Network Behavioral-Epidemic Model
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 propo...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
2022
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| Online Access: | http://hdl.handle.net/20.500.11937/89028 |
| _version_ | 1848765142398926848 |
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| author | Frieswijk, K. Zino, L. Ye, Mengbin Rizzo, A. Cao, M. |
| author_facet | Frieswijk, K. Zino, L. Ye, Mengbin Rizzo, A. Cao, M. |
| author_sort | Frieswijk, K. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T11:30:33Z |
| format | Journal Article |
| id | curtin-20.500.11937-89028 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:30:33Z |
| publishDate | 2022 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-890282022-08-19T00:01:34Z A Mean-Field Analysis of a Network Behavioral-Epidemic Model Frieswijk, K. Zino, L. Ye, Mengbin Rizzo, A. Cao, M. 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. 2022 Journal Article http://hdl.handle.net/20.500.11937/89028 10.1109/LCSYS.2022.3168260 fulltext |
| spellingShingle | Frieswijk, K. Zino, L. Ye, Mengbin Rizzo, A. Cao, M. A Mean-Field Analysis of a Network Behavioral-Epidemic Model |
| title | A Mean-Field Analysis of a Network Behavioral-Epidemic Model |
| title_full | A Mean-Field Analysis of a Network Behavioral-Epidemic Model |
| title_fullStr | A Mean-Field Analysis of a Network Behavioral-Epidemic Model |
| title_full_unstemmed | A Mean-Field Analysis of a Network Behavioral-Epidemic Model |
| title_short | A Mean-Field Analysis of a Network Behavioral-Epidemic Model |
| title_sort | mean-field analysis of a network behavioral-epidemic model |
| url | http://hdl.handle.net/20.500.11937/89028 |