From the end of 2020, different vaccines against COVID-19 have been approved, offering a glimmer of hope and relief worldwide. However, in late 2020, new cases of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) started to re-surge, worsened by the emergence of highly infectious variants. To study this scenario, we extend the Susceptible-Exposed-Infectious-Removed model with lockdown measures used in our previous work with the inclusion of new lineages and mass vaccination campaign. We estimate model parameters using the Bayesian method Conditional Robust Calibration in two case studies: Italy and the Umbria region, the Italian region being worse affected by the emergence of variants. We then use the model to explore the dynamics of COVID-19, given different vaccination paces and a policy of gradual reopening. Our findings confirm the higher reproduction number of Umbria and the increase of transmission parameters due to the presence of new variants. The results illustrate the importance of preserving population-wide interventions, especially during the beginning of vaccination. Finally, under the hypothesis of waning immunity, the predictions show that a seasonal vaccination with a constant rate would probably be necessary to control the epidemic.
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Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
Anderson, Roy M.
Vegvari, Carolin
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Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
Vegvari, Carolin
Truscott, James
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Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
Truscott, James
Collyer, Benjamin S.
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Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
机构:
Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA
Univ Colorado, IQ Biol Program, Boulder, CO 80303 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Bubar, Kate M.
Reinholt, Kyle
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Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Reinholt, Kyle
Kissler, Stephen M.
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Harvard TH Chan Sch Publ Hlth, Dept Immunol & Infect Dis, Boston, MA 02115 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Kissler, Stephen M.
Lipsitch, Marc
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Harvard TH Chan Sch Publ Hlth, Dept Immunol & Infect Dis, Boston, MA 02115 USA
Harvard TH Chan Sch Publ Hlth, Ctr Communicable Dis Dynam, Boston, MA 02115 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Lipsitch, Marc
Cobey, Sarah
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Univ Chicago, Dept Ecol & Evolut, Chicago, IL 60637 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Cobey, Sarah
Grad, Yonatan H.
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机构:
Harvard TH Chan Sch Publ Hlth, Dept Immunol & Infect Dis, Boston, MA 02115 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Grad, Yonatan H.
Larremore, Daniel B.
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Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USA
Univ Colorado, Biofrontiers Inst, Boulder, CO 80303 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Davies, Nicholas G.
Abbott, Sam
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Abbott, Sam
Barnard, Rosanna C.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Barnard, Rosanna C.
Jarvis, Christopher, I
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Jarvis, Christopher, I
Kucharski, Adam J.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Kucharski, Adam J.
Munday, James D.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Munday, James D.
Pearson, Carl A. B.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Pearson, Carl A. B.
Russell, Timothy W.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Russell, Timothy W.
Tully, Damien C.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Tully, Damien C.
Washburne, Alex D.
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Selva Analyt LLC, Bozeman, MT USALondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Washburne, Alex D.
Wenseleers, Tom
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Katholieke Univ Leuven, Lab Socioecol & Social Evolut, Leuven, BelgiumLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Wenseleers, Tom
Gimma, Amy
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Gimma, Amy
Waites, William
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Waites, William
Wong, Kerry L. M.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Wong, Kerry L. M.
van Zandvoort, Kevin
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
van Zandvoort, Kevin
Silverman, Justin D.
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Penn State Univ, Coll Informat Sci & Technol, University Pk, PA 16802 USALondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Silverman, Justin D.
Diaz-Ordaz, Karla
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London Sch Hyg & Trop Med, Ctr Stat Methodol, London, England
London Sch Hyg & Trop Med, Dept Med Stat, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Diaz-Ordaz, Karla
Keogh, Ruth
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London Sch Hyg & Trop Med, Ctr Stat Methodol, London, England
London Sch Hyg & Trop Med, Dept Med Stat, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Keogh, Ruth
Eggo, Rosalind M.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Eggo, Rosalind M.
Funk, Sebastian
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Funk, Sebastian
Jit, Mark
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Jit, Mark
Atkins, Katherine E.
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Univ Edinburgh, Ctr Global Hlth, Usher Inst Populat Hlth Sci & Informat, Edinburgh, Midlothian, ScotlandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Atkins, Katherine E.
Edmunds, W. John
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London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
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Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
Anderson, Roy M.
Vegvari, Carolin
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机构:
Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
Vegvari, Carolin
Truscott, James
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Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
Truscott, James
Collyer, Benjamin S.
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h-index: 0
机构:
Imperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, EnglandImperial Coll London, Sch Publ Hlth, Dept Infect Dis Epidemiol, Med Res Council Ctr Global Infect Dis Anal, London W2 1PG, England
机构:
Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA
Univ Colorado, IQ Biol Program, Boulder, CO 80303 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Bubar, Kate M.
Reinholt, Kyle
论文数: 0引用数: 0
h-index: 0
机构:
Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Reinholt, Kyle
Kissler, Stephen M.
论文数: 0引用数: 0
h-index: 0
机构:
Harvard TH Chan Sch Publ Hlth, Dept Immunol & Infect Dis, Boston, MA 02115 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Kissler, Stephen M.
Lipsitch, Marc
论文数: 0引用数: 0
h-index: 0
机构:
Harvard TH Chan Sch Publ Hlth, Dept Immunol & Infect Dis, Boston, MA 02115 USA
Harvard TH Chan Sch Publ Hlth, Ctr Communicable Dis Dynam, Boston, MA 02115 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Lipsitch, Marc
Cobey, Sarah
论文数: 0引用数: 0
h-index: 0
机构:
Univ Chicago, Dept Ecol & Evolut, Chicago, IL 60637 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Cobey, Sarah
Grad, Yonatan H.
论文数: 0引用数: 0
h-index: 0
机构:
Harvard TH Chan Sch Publ Hlth, Dept Immunol & Infect Dis, Boston, MA 02115 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
Grad, Yonatan H.
Larremore, Daniel B.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USA
Univ Colorado, Biofrontiers Inst, Boulder, CO 80303 USAUniv Colorado, Dept Appl Math, Boulder, CO 80309 USA
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Davies, Nicholas G.
Abbott, Sam
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Abbott, Sam
Barnard, Rosanna C.
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Barnard, Rosanna C.
Jarvis, Christopher, I
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Jarvis, Christopher, I
Kucharski, Adam J.
论文数: 0引用数: 0
h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Kucharski, Adam J.
Munday, James D.
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Munday, James D.
Pearson, Carl A. B.
论文数: 0引用数: 0
h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Pearson, Carl A. B.
Russell, Timothy W.
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Russell, Timothy W.
Tully, Damien C.
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Tully, Damien C.
Washburne, Alex D.
论文数: 0引用数: 0
h-index: 0
机构:
Selva Analyt LLC, Bozeman, MT USALondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Washburne, Alex D.
Wenseleers, Tom
论文数: 0引用数: 0
h-index: 0
机构:
Katholieke Univ Leuven, Lab Socioecol & Social Evolut, Leuven, BelgiumLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Wenseleers, Tom
Gimma, Amy
论文数: 0引用数: 0
h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Gimma, Amy
Waites, William
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Waites, William
Wong, Kerry L. M.
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Wong, Kerry L. M.
van Zandvoort, Kevin
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
van Zandvoort, Kevin
Silverman, Justin D.
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Coll Informat Sci & Technol, University Pk, PA 16802 USALondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Silverman, Justin D.
Diaz-Ordaz, Karla
论文数: 0引用数: 0
h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Stat Methodol, London, England
London Sch Hyg & Trop Med, Dept Med Stat, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Diaz-Ordaz, Karla
Keogh, Ruth
论文数: 0引用数: 0
h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Stat Methodol, London, England
London Sch Hyg & Trop Med, Dept Med Stat, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Keogh, Ruth
Eggo, Rosalind M.
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Eggo, Rosalind M.
Funk, Sebastian
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Funk, Sebastian
Jit, Mark
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Jit, Mark
Atkins, Katherine E.
论文数: 0引用数: 0
h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Univ Edinburgh, Ctr Global Hlth, Usher Inst Populat Hlth Sci & Informat, Edinburgh, Midlothian, ScotlandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England
Atkins, Katherine E.
Edmunds, W. John
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h-index: 0
机构:
London Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, EnglandLondon Sch Hyg & Trop Med, Ctr Math Modelling Infect Dis, London, England