Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks
Launching a prevention campaign to contain the spread of infection requires substantial financial investments; therefore, a trade-off exists between suppressing the epidemic and containing costs. Information exchange among individuals can occur as physical contacts (e.g., word of mouth, gatherings),...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.609 |
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| author | Heman Shakeri Faryad Darabi Sahneh Caterina Scoglio Pietro Poggi-Corradini Victor M. Preciado |
| author_facet | Heman Shakeri Faryad Darabi Sahneh Caterina Scoglio Pietro Poggi-Corradini Victor M. Preciado |
| author_sort | Heman Shakeri |
| collection | DOAJ |
| description | Launching a prevention campaign to contain the spread of infection requires substantial financial investments; therefore, a trade-off exists between suppressing the epidemic and containing costs. Information exchange among individuals can occur as physical contacts (e.g., word of mouth, gatherings), which provide inherent possibilities of disease transmission, and non-physical contacts (e.g., email, social networks), through which information can be transmitted but the infection cannot be transmitted. Contact network (CN) incorporates physical contacts, and the information dissemination network (IDN) represents non-physical contacts, thereby generating a multilayer network structure. Inherent differences between these two layers cause alerting through CN to be more effective but more expensive than IDN. The constraint for an epidemic to die out derived from a nonlinear Perron-Frobenius problem that was transformed into a semi-definite matrix inequality and served as a constraint for a convex optimization problem. This method guarantees a dying-out epidemic by choosing the best nodes for adopting preventive behaviors with minimum monetary resources. Various numerical simulations with network models and a real-world social network validate our method. |
| format | Article |
| id | doaj-art-a93aaf983162442a9d4b7a3925e85721 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a93aaf983162442a9d4b7a3925e857212025-01-24T02:31:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-01-0112360962310.3934/mbe.2015.12.609Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networksHeman Shakeri0Faryad Darabi Sahneh1Caterina Scoglio2Pietro Poggi-Corradini3Victor M. Preciado4Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS 66506-5204Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS 66506-5204K-State Epicenter, Department of Electrical and Computer Engineering, Kansas State University, 2061 Rathbone Hall, Manhattan, KS 66506-5204Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104-6391Launching a prevention campaign to contain the spread of infection requires substantial financial investments; therefore, a trade-off exists between suppressing the epidemic and containing costs. Information exchange among individuals can occur as physical contacts (e.g., word of mouth, gatherings), which provide inherent possibilities of disease transmission, and non-physical contacts (e.g., email, social networks), through which information can be transmitted but the infection cannot be transmitted. Contact network (CN) incorporates physical contacts, and the information dissemination network (IDN) represents non-physical contacts, thereby generating a multilayer network structure. Inherent differences between these two layers cause alerting through CN to be more effective but more expensive than IDN. The constraint for an epidemic to die out derived from a nonlinear Perron-Frobenius problem that was transformed into a semi-definite matrix inequality and served as a constraint for a convex optimization problem. This method guarantees a dying-out epidemic by choosing the best nodes for adopting preventive behaviors with minimum monetary resources. Various numerical simulations with network models and a real-world social network validate our method.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.609asymptotic dying out.awareness spreadingconvex optimizationepidemic spreadingnonlinear perron-frobenius problem |
| spellingShingle | Heman Shakeri Faryad Darabi Sahneh Caterina Scoglio Pietro Poggi-Corradini Victor M. Preciado Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks Mathematical Biosciences and Engineering asymptotic dying out. awareness spreading convex optimization epidemic spreading nonlinear perron-frobenius problem |
| title | Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks |
| title_full | Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks |
| title_fullStr | Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks |
| title_full_unstemmed | Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks |
| title_short | Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks |
| title_sort | optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks |
| topic | asymptotic dying out. awareness spreading convex optimization epidemic spreading nonlinear perron-frobenius problem |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.609 |
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