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Pereira, João F., Constantino Caetano, Liliana Antunes, Paula Patr{\'ıcio, Maria Lu{\'ısa Morgado, and Baltazar Nunes. "COVID-19 Hospitalisation in Portugal, the first year: Results from hospital discharge data." medRxiv (2022). Abstract
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Esquível, Manuel L., Paula Patrício, and Gracinda R. Guerreiro. "From ODE to Open Markov Chains, via SDE: an application to models for infections in individuals and populations." Computational and Mathematical Biophysics. 8 (2020): 180-197.
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Pinho, S. T. R., P. Rodrigues, R. F. S. Andrade, H. Serra, J. S. Lopes, and M. G. M. Gomes. "Impact of tuberculosis treatment length and adherence under different transmission intensities." THEORETICAL POPULATION BIOLOGY. 104 (2015): 68-77. Abstract

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Machado, B., L. Antunes, C. Caetano, J. F. Pereira, B. Nunes, P. Patrício, and M. L. Morgado. "The impact of vaccination on the evolution of COVID-19 in Portugal." Mathematical Biosciences and Engeneering. 19 (2022): 936-952.
Gomes, Gabriela M. M., Paula Rodrigues, Frank M. Hilker, Natalia B. Mantilla-Beniers, Marion Muehlen, Ana Cristina Paulo, and Graham F. Medley. "Implications of partial immunity on the prospects for tuberculosis control by post-exposure interventions." JOURNAL OF THEORETICAL BIOLOGY. 248 (2007): 608-617. Abstract

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Lopes, Joao Sollari, Paula Rodrigues, Suani T. R. Pinho, Roberto F. S. Andrade, Raquel Duarte, and Gabriela M. M. Gomes. "Interpreting measures of tuberculosis transmission: a case study on the Portuguese population." BMC INFECTIOUS DISEASES. 14 (2014). Abstract

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Caetano, Constantino, Maria Luisa Morgado, Paula Patrício, João F. Pereira, and Baltazar Nunes. "Mathematical Modelling of the Impact of Non-Pharmacological Strategies to Control the COVID-19 Epidemic in Portugal." Mathematics. 9.10 (2021).
Caetano, Constantino, Maria Luísa Morgado, Paula Patrício, Andreia Leite, Ausenda Machado, André Torres, João Freitas Pereira, Sónia Namorado, Ana Sottomayor, André Peralta-Santos, and Baltazar Nunes. "Measuring the impact of COVID-19 vaccination and immunity waning: a modelling study for Portugal." Vaccine (2022). AbstractWebsite

Vaccination strategies to control COVID-19 have been ongoing worldwide since the end of 2020. Understanding their possible effect is key to prevent future disease spread. Using a modelling approach, this study intends to measure the impact of the COVID-19 Portuguese vaccination strategy on the effective reproduction number and explore three scenarios for vaccine effectiveness waning. Namely, the no-immunity-loss, 1-year and 3-years of immunity duration scenarios. We adapted an age-structured SEIR deterministic model and used Portuguese hospitalisation data for the model calibration. Results show that, although the Portuguese vaccination plan had a substantial impact in reducing overall transmission, it might not be sufficient to control disease spread. A significant vaccination coverage of those above 5 years old, a vaccine effectiveness against disease of at least 80% and softer non-pharmaceutical interventions (NPIs), such as mask usage and social distancing, would be necessary to control disease spread in the worst scenario considered. The immunity duration scenario of 1-year displays a resurgence of COVID-19 hospitalisations by the end of 2021, the same is observed in 3-year scenario although with a lower magnitude. The no-immunity-loss scenario presents a low increase in hospitalisations. In both the 1-year and 3-year scenarios, a vaccination boost of those above 65 years old would result in a 53% and 38% peak reduction of non-ICU hospitalisations, respectively. These results suggest that NPIs should not be fully phased-out but instead be combined with a fast booster vaccination strategy to reduce healthcare burden.

Esquível, Manuel L., Nadezhda P. Krasii, Gracinda R. Guerreiro, and Paula Patrício. "The Multi-Compartment SI (RD) Model with Regime Switching: An Application to COVID-19 Pandemic." Symmetry. 13 (2021): 2427. Abstract

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