Optimal Social and Vaccination Control in the SVIR Epidemic Model
In this paper, we introduce an approach to the management of infectious disease diffusion through the formulation of a controlled compartmental SVIR (susceptible–vaccinated–infected–recovered) model. We consider a cost functional encompassing three distinct yet interconnected dimensions: the social...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/7/933 |
| _version_ | 1797212329657499648 |
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| author | Alessandro Ramponi Maria Elisabetta Tessitore |
| author_facet | Alessandro Ramponi Maria Elisabetta Tessitore |
| author_sort | Alessandro Ramponi |
| collection | DOAJ |
| description | In this paper, we introduce an approach to the management of infectious disease diffusion through the formulation of a controlled compartmental SVIR (susceptible–vaccinated–infected–recovered) model. We consider a cost functional encompassing three distinct yet interconnected dimensions: the social cost, the disease cost, and the vaccination cost. The proposed model addresses the pressing need for optimized strategies in disease containment, incorporating both social control measures and vaccination campaigns. Through the utilization of advanced control theory, we identify optimal control strategies that mitigate disease proliferation while considering the inherent trade-offs among social interventions and vaccination efforts. Finally, we present the results from a simulation-based study employing a numerical implementation of the optimally controlled system through the forward–backward sweep algorithm. The baseline model considered incorporates parameters representative of typical values observed during the recent pandemic outbreak. |
| first_indexed | 2024-04-24T10:40:39Z |
| format | Article |
| id | doaj.art-ee7ab44125014bf996120cec0cac7c69 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-24T10:40:39Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ee7ab44125014bf996120cec0cac7c692024-04-12T13:22:24ZengMDPI AGMathematics2227-73902024-03-0112793310.3390/math12070933Optimal Social and Vaccination Control in the SVIR Epidemic ModelAlessandro Ramponi0Maria Elisabetta Tessitore1Department of Economics and Finance, University of Rome Tor Vergata, Via Columbia 2, 00133 Rome, ItalyDepartment of Economics and Finance, University of Rome Tor Vergata, Via Columbia 2, 00133 Rome, ItalyIn this paper, we introduce an approach to the management of infectious disease diffusion through the formulation of a controlled compartmental SVIR (susceptible–vaccinated–infected–recovered) model. We consider a cost functional encompassing three distinct yet interconnected dimensions: the social cost, the disease cost, and the vaccination cost. The proposed model addresses the pressing need for optimized strategies in disease containment, incorporating both social control measures and vaccination campaigns. Through the utilization of advanced control theory, we identify optimal control strategies that mitigate disease proliferation while considering the inherent trade-offs among social interventions and vaccination efforts. Finally, we present the results from a simulation-based study employing a numerical implementation of the optimally controlled system through the forward–backward sweep algorithm. The baseline model considered incorporates parameters representative of typical values observed during the recent pandemic outbreak.https://www.mdpi.com/2227-7390/12/7/933optimal controleconomicsSVIR epidemic model |
| spellingShingle | Alessandro Ramponi Maria Elisabetta Tessitore Optimal Social and Vaccination Control in the SVIR Epidemic Model Mathematics optimal control economics SVIR epidemic model |
| title | Optimal Social and Vaccination Control in the SVIR Epidemic Model |
| title_full | Optimal Social and Vaccination Control in the SVIR Epidemic Model |
| title_fullStr | Optimal Social and Vaccination Control in the SVIR Epidemic Model |
| title_full_unstemmed | Optimal Social and Vaccination Control in the SVIR Epidemic Model |
| title_short | Optimal Social and Vaccination Control in the SVIR Epidemic Model |
| title_sort | optimal social and vaccination control in the svir epidemic model |
| topic | optimal control economics SVIR epidemic model |
| url | https://www.mdpi.com/2227-7390/12/7/933 |
| work_keys_str_mv | AT alessandroramponi optimalsocialandvaccinationcontrolinthesvirepidemicmodel AT mariaelisabettatessitore optimalsocialandvaccinationcontrolinthesvirepidemicmodel |