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The dynamical model adjustment is performed via Approximate Bayesian Computation. Optimal lockdown and exit strategies are determined based on nonlinear model predictive control, constrained to public-health and socio-economic factors. Through an extensive computational validation of the methodology, it is shown that it is possible to compute robust exit strategies with realistic reduced mobility values to inform public policy making, and we exemplify the applicability of the methodology using datasets from England and France.<\/jats:p>","DOI":"10.1371\/journal.pcbi.1009236","type":"journal-article","created":{"date-parts":[[2021,8,12]],"date-time":"2021-08-12T18:51:29Z","timestamp":1628794289000},"page":"e1009236","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":31,"title":["Using mobility data in the design of optimal lockdown strategies for the COVID-19 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UK schools to be closed indefinitely and exams cancelled; March 18, 2020 [cited July 1, 2020]. https:\/\/www.theguardian.com\/world\/2020\/mar\/18\/coronavirus-uk-schools-to-be-closed-indefinitely-and-exams-cancelled."},{"key":"pcbi.1009236.ref025","unstructured":"School closure in France due to COVID-19 pandemic; 2020. https:\/\/www.legifrance.gouv.fr\/jorf\/id\/JORFTEXT000041722917\/."},{"key":"pcbi.1009236.ref026","unstructured":"Lockdown measures by UK government during 2020 COVID-19 pandemic; 2020. https:\/\/bfpg.co.uk\/2020\/04\/covid-19-timeline\/."},{"key":"pcbi.1009236.ref027","unstructured":"Lockdown measures by French government during 2020 COVID-19 pandemic; 2020. https:\/\/www.legifrance.gouv.fr\/jorf\/id\/JORFTEXT000041737584\/."},{"key":"pcbi.1009236.ref028","unstructured":"Age distribution of international flight passengers to the UK; 2020. https:\/\/www.statista.com\/statistics\/304641\/age-distribution-of-air-passengers-by-airport-uk\/."},{"issue":"7","key":"pcbi.1009236.ref029","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00285-021-01617-y","article-title":"Control with uncertain data of socially structured compartmental epidemic models","volume":"82","author":"G Albi","year":"2021","journal-title":"Journal of Mathematical Biology"},{"issue":"1","key":"pcbi.1009236.ref030","first-page":"e66","article-title":"Fundamentals and recent developments in approximate Bayesian computation","volume":"66","author":"J Lintusaari","year":"2017","journal-title":"Systematic biology"},{"issue":"1","key":"pcbi.1009236.ref031","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.jde.2014.09.005","article-title":"The turnpike property in finite-dimensional nonlinear optimal control","volume":"258","author":"E Tr\u00e9lat","year":"2015","journal-title":"Journal of Differential Equations"},{"issue":"3","key":"pcbi.1009236.ref032","doi-asserted-by":"crossref","first-page":"4473","DOI":"10.1103\/PhysRevE.62.4473","article-title":"Efficiency of generalized simulated annealing","volume":"62","author":"Y Xiang","year":"2000","journal-title":"Physical Review E"},{"issue":"4","key":"pcbi.1009236.ref033","doi-asserted-by":"crossref","first-page":"1683","DOI":"10.1137\/15M1017016","article-title":"Invisible Control of Self-Organizing Agents Leaving Unknown Environments","volume":"76","author":"G Albi","year":"2016","journal-title":"SIAM Journal on Applied Mathematics"},{"issue":"13","key":"pcbi.1009236.ref034","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ifacol.2018.07.245","article-title":"Optimal consensus control of the Cucker-Smale model","volume":"51","author":"R Bailo","year":"2018","journal-title":"IFAC-PapersOnLine"},{"key":"pcbi.1009236.ref035","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/978-3-319-46024-6_3","volume-title":"Nonlinear Model Predictive Control","author":"L Gr\u00fcne","year":"2017"},{"key":"pcbi.1009236.ref036","unstructured":"Public Health England. 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