Luo, Qi and Weightman, Ryan and McQuade, Sean T. and Díaz, Mateo and Trélat, Emmanuel and Barbour, William and Work, Dan and Samaranayake, Samitha and Piccoli, Benedetto (2022) Optimization of vaccination for COVID-19 in the midst of a pandemic. Networks and Heterogeneous Media, 17 (3). pp. 443-466. ISSN 1556-1801. doi:10.3934/nhm.2022016. https://resolver.caltech.edu/CaltechAUTHORS:20220622-933053900
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Abstract
During the Covid-19 pandemic a key role is played by vaccination to combat the virus. There are many possible policies for prioritizing vaccines, and different criteria for optimization: minimize death, time to herd immunity, functioning of the health system. Using an age-structured population compartmental finite-dimensional optimal control model, our results suggest that the eldest to youngest vaccination policy is optimal to minimize deaths. Our model includes the possible infection of vaccinated populations. We apply our model to real-life data from the US Census for New Jersey and Florida, which have a significantly different population structure. We also provide various estimates of the number of lives saved by optimizing the vaccine schedule and compared to no vaccination.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2022 American Institute of Mathematical Sciences. The authors acknowledge the support of the NSF CMMI project # 2033580 "Managing pandemic by managing mobility". R.W., S.T.M. and B.P. acknowledge the support of the Joseph and Loretta Lopez Chair endowment. | |||||||||
| Group: | COVID-19 | |||||||||
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| Subject Keywords: | COVID-19, SARS-CoV-2, SEIR compartmental models, vaccine, optimal control | |||||||||
| Issue or Number: | 3 | |||||||||
| Classification Code: | Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35 | |||||||||
| DOI: | 10.3934/nhm.2022016 | |||||||||
| Record Number: | CaltechAUTHORS:20220622-933053900 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220622-933053900 | |||||||||
| Official Citation: | Qi Luo, Ryan Weightman, Sean T. McQuade, Mateo Díaz, Emmanuel Trélat, William Barbour, Dan Work, Samitha Samaranayake, Benedetto Piccoli. Optimization of vaccination for COVID-19 in the midst of a pandemic. Networks and Heterogeneous Media, 2022, 17 (3) : 443-466. doi: 10.3934/nhm.2022016 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 115242 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 24 Jun 2022 23:53 | |||||||||
| Last Modified: | 28 Jun 2022 19:32 |
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