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d'Onofrio A, Iannelli M, Manfredi P, Marinoschi G. Epidemic control by social distancing and vaccination: Optimal strategies and remarks on the COVID-19 Italian response policy. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2024; 21:6493-6520. [PMID: 39176405 DOI: 10.3934/mbe.2024283] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/24/2024]
Abstract
After the many failures in the control of the COVID-19 pandemic, identifying robust principles of epidemic control will be key in future preparedness. In this work, we propose an optimal control model of an age-of-infection transmission model under a two-phase control regime where social distancing is the only available control tool in the first phase, while the second phase also benefits from the arrival of vaccines. We analyzed the problem by an ad-hoc numerical algorithm under a strong hypothesis implying a high degree of prioritization to the protection of health from the epidemic attack, which we termed the "low attack rate" hypothesis. The outputs of the model were also compared with the data from the Italian COVID-19 experience to provide a crude assessment of the goodness of the enacted interventions prior to the onset of the Omicron variant.
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Affiliation(s)
- Alberto d'Onofrio
- Dipartimento di Matematica, Informatica e Geoscienze, Università di Trieste, Via Alfonso Valerio 12, Edificio H2bis, 34127 Trieste, Italy
| | - Mimmo Iannelli
- Department of Mathematics, University of Trento, Via Sommarive 14, 38123 Trento, Italy
| | - Piero Manfredi
- Dipartimento di Economia e Management, University of Pisa, Via Ridolfi 10, 56124 Pisa, Italy
| | - Gabriela Marinoschi
- Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Bucharest, Romania
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Marziano V, Guzzetta G, Menegale F, Sacco C, Petrone D, Mateo Urdiales A, Del Manso M, Bella A, Fabiani M, Vescio MF, Riccardo F, Poletti P, Manica M, Zardini A, d'Andrea V, Trentini F, Stefanelli P, Rezza G, Palamara AT, Brusaferro S, Ajelli M, Pezzotti P, Merler S. Estimating SARS-CoV-2 infections and associated changes in COVID-19 severity and fatality. Influenza Other Respir Viruses 2023; 17:e13181. [PMID: 37599801 PMCID: PMC10432583 DOI: 10.1111/irv.13181] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2022] [Revised: 06/21/2023] [Accepted: 07/19/2023] [Indexed: 08/22/2023] Open
Abstract
Background The difficulty in identifying SARS-CoV-2 infections has not only been the major obstacle to control the COVID-19 pandemic but also to quantify changes in the proportion of infections resulting in hospitalization, intensive care unit (ICU) admission, or death. Methods We developed a model of SARS-CoV-2 transmission and vaccination informed by official estimates of the time-varying reproduction number to estimate infections that occurred in Italy between February 2020 and 2022. Model outcomes were compared with the Italian National surveillance data to estimate changes in the SARS-CoV-2 infection ascertainment ratio (IAR), infection hospitalization ratio (IHR), infection ICU ratio (IIR), and infection fatality ratio (IFR) in five different sub-periods associated with the dominance of the ancestral lineages and Alpha, Delta, and Omicron BA.1 variants. Results We estimate that, over the first 2 years of pandemic, the IAR ranged between 15% and 40% (range of 95%CI: 11%-61%), with a peak value in the second half of 2020. The IHR, IIR, and IFR consistently decreased throughout the pandemic with 22-44-fold reductions between the initial phase and the Omicron period. At the end of the study period, we estimate an IHR of 0.24% (95%CI: 0.17-0.36), IIR of 0.015% (95%CI: 0.011-0.023), and IFR of 0.05% (95%CI: 0.04-0.08). Conclusions Since 2021, changes in the dominant SARS-CoV-2 variant, vaccination rollout, and the shift of infection to younger ages have reduced SARS-CoV-2 infection ascertainment. The same factors, combined with the improvement of patient management and care, contributed to a massive reduction in the severity and fatality of COVID-19.
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Affiliation(s)
| | - Giorgio Guzzetta
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
| | - Francesco Menegale
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
- Department of MathematicsUniversity of TrentoTrentoItaly
| | - Chiara Sacco
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Daniele Petrone
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | | | - Martina Del Manso
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Antonino Bella
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Massimo Fabiani
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | | | - Flavia Riccardo
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Piero Poletti
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
| | - Mattia Manica
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
| | - Agnese Zardini
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
| | - Valeria d'Andrea
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
| | - Filippo Trentini
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
- Dondena Centre for Research on Social Dynamics and Public PolicyBocconi UniversityMilanItaly
- COVID Crisis LabBocconi UniversityMilanItaly
| | - Paola Stefanelli
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Giovanni Rezza
- Health Prevention directorateMinistry of HealthRomeItaly
| | | | - Silvio Brusaferro
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Marco Ajelli
- Laboratory for Computational Epidemiology and Public Health, Department of Epidemiology and BiostatisticsIndiana University School of Public HealthBloomingtonIndianaUSA
| | - Patrizio Pezzotti
- Department of Infectious DiseasesIstituto Superiore di SanitàRomeItaly
| | - Stefano Merler
- Center for Health EmergenciesBruno Kessler FoundationTrentoItaly
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Palopoli L, Fontanelli D, Frego M, Roveri M. A Markovian model for the spread of the SARS-CoV-2 virus. AUTOMATICA : THE JOURNAL OF IFAC, THE INTERNATIONAL FEDERATION OF AUTOMATIC CONTROL 2023; 151:110921. [PMID: 36817632 PMCID: PMC9928740 DOI: 10.1016/j.automatica.2023.110921] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/28/2021] [Revised: 10/25/2022] [Accepted: 01/20/2023] [Indexed: 06/18/2023]
Abstract
We propose a Markovian stochastic approach to model the spread of a SARS-CoV-2-like infection within a closed group of humans. The model takes the form of a Partially Observable Markov Decision Process (POMDP), whose states are given by the number of subjects in different health conditions. The model also exposes the different parameters that have an impact on the spread of the disease and the various decision variables that can be used to control it (e.g, social distancing, number of tests administered to single out infected subjects). The model describes the stochastic phenomena that underlie the spread of the epidemic and captures, in the form of deterministic parameters, some fundamental limitations in the availability of resources (hospital beds and test swabs). The model lends itself to different uses. For a given control policy, it is possible to verify if it satisfies an analytical property on the stochastic evolution of the state (e.g., to compute probability that the hospital beds will reach a fill level, or that a specified percentage of the population will die). If the control policy is not given, it is possible to apply POMDP techniques to identify an optimal control policy that fulfils some specified probabilistic goals. Whilst the paper primarily aims at the model description, we show with numeric examples some of its potential applications.
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Affiliation(s)
- Luigi Palopoli
- University of Trento, Department of Information Engineering and Computer Science, Via Sommarive 9 - Povo, 38123 Trento (TN), Italy
| | - Daniele Fontanelli
- University of Trento, Department of Industrial Engineering, Via Sommarive 9, 38122 Povo (TN), Italy
| | - Marco Frego
- Free University of Bozen-Bolzano, Faculty of Science and Technology, via Volta 13 - NOI TechPark, 39100 Bolzano (BZ), Italy
| | - Marco Roveri
- University of Trento, Department of Information Engineering and Computer Science, Via Sommarive 9 - Povo, 38123 Trento (TN), Italy
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Galli M, Zardini A, Gamshie WN, Santini S, Tsegaye A, Trentini F, Marziano V, Guzzetta G, Manica M, d'Andrea V, Putoto G, Manenti F, Ajelli M, Poletti P, Merler S. Priority age targets for COVID-19 vaccination in Ethiopia under limited vaccine supply. Sci Rep 2023; 13:5586. [PMID: 37019980 PMCID: PMC10075159 DOI: 10.1038/s41598-023-32501-y] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2022] [Accepted: 03/28/2023] [Indexed: 04/07/2023] Open
Abstract
The worldwide inequitable access to vaccination claims for a re-assessment of policies that could minimize the COVID-19 burden in low-income countries. Nine months after the launch of the national vaccination program in March 2021, only 3.4% of the Ethiopian population received two doses of COVID-19 vaccine. We used a SARS-CoV-2 transmission model to estimate the level of immunity accrued before the launch of vaccination in the Southwest Shewa Zone (SWSZ) and to evaluate the impact of alternative age priority vaccination targets in a context of limited vaccine supply. The model was informed with available epidemiological evidence and detailed contact data collected across different geographical settings (urban, rural, or remote). We found that, during the first year of the pandemic, the mean proportion of critical cases occurred in SWSZ attributable to infectors under 30 years of age would range between 24.9 and 48.0%, depending on the geographical setting. During the Delta wave, the contribution of this age group in causing critical cases was estimated to increase on average to 66.7-70.6%. Our findings suggest that, when considering the vaccine product available at the time (ChAdOx1 nCoV-19; 65% efficacy against infection after 2 doses), prioritizing the elderly for vaccination remained the best strategy to minimize the disease burden caused by Delta, irrespectively of the number of available doses. Vaccination of all individuals aged ≥ 50 years would have averted 40 (95%PI: 18-60), 90 (95%PI: 61-111), and 62 (95%PI: 21-108) critical cases per 100,000 residents in urban, rural, and remote areas, respectively. Vaccination of all individuals aged ≥ 30 years would have averted an average of 86-152 critical cases per 100,000 individuals, depending on the setting considered. Despite infections among children and young adults likely caused 70% of critical cases during the Delta wave in SWSZ, most vulnerable ages should remain a key priority target for vaccination against COVID-19.
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Affiliation(s)
- Margherita Galli
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
- Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy
| | - Agnese Zardini
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
| | | | | | | | - Filippo Trentini
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
- Dondena Centre for Research on Social Dynamics and Public Policy, Bocconi University, Milan, Italy
| | | | - Giorgio Guzzetta
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
- Epilab-JRU, FEM-FBK Joint Research Unit, Trento, Italy
| | - Mattia Manica
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
- Epilab-JRU, FEM-FBK Joint Research Unit, Trento, Italy
| | - Valeria d'Andrea
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
| | | | | | - Marco Ajelli
- Laboratory for Computational Epidemiology and Public Health, Department of Epidemiology and Biostatistics, Indiana University School of Public Health, Bloomington, IN, USA
| | - Piero Poletti
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy.
- Epilab-JRU, FEM-FBK Joint Research Unit, Trento, Italy.
| | - Stefano Merler
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
- Epilab-JRU, FEM-FBK Joint Research Unit, Trento, Italy
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Kun Á, Hubai AG, Král A, Mokos J, Mikulecz BÁ, Radványi Á. Do pathogens always evolve to be less virulent? The virulence–transmission trade-off in light of the COVID-19 pandemic. Biol Futur 2023:10.1007/s42977-023-00159-2. [PMID: 37002448 PMCID: PMC10066022 DOI: 10.1007/s42977-023-00159-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2022] [Accepted: 03/09/2023] [Indexed: 04/03/2023]
Abstract
AbstractThe direction the evolution of virulence takes in connection with any pathogen is a long-standing question. Formerly, it was theorized that pathogens should always evolve to be less virulent. As observations were not in line with this theoretical outcome, new theories emerged, chief among them the transmission–virulence trade-off hypotheses, which predicts an intermediate level of virulence as the endpoint of evolution. At the moment, we are very much interested in the future evolution of COVID-19’s virulence. Here, we show that the disease does not fulfill all the assumptions of the hypothesis. In the case of COVID-19, a higher viral load does not mean a higher risk of death; immunity is not long-lasting; other hosts can act as reservoirs for the virus; and death as a consequence of viral infection does not shorten the infectious period. Consequently, we cannot predict the short- or long-term evolution of the virulence of COVID-19.
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Liu QH, Zhang J, Peng C, Litvinova M, Huang S, Poletti P, Trentini F, Guzzetta G, Marziano V, Zhou T, Viboud C, Bento AI, Lv J, Vespignani A, Merler S, Yu H, Ajelli M. Model-based evaluation of alternative reactive class closure strategies against COVID-19. Nat Commun 2022; 13:322. [PMID: 35031600 PMCID: PMC8760266 DOI: 10.1038/s41467-021-27939-5] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2021] [Accepted: 12/17/2021] [Indexed: 01/10/2023] Open
Abstract
There are contrasting results concerning the effect of reactive school closure on SARS-CoV-2 transmission. To shed light on this controversy, we developed a data-driven computational model of SARS-CoV-2 transmission. We found that by reactively closing classes based on syndromic surveillance, SARS-CoV-2 infections are reduced by no more than 17.3% (95%CI: 8.0-26.8%), due to the low probability of timely identification of infections in the young population. We thus investigated an alternative triggering mechanism based on repeated screening of students using antigen tests. Depending on the contribution of schools to transmission, this strategy can greatly reduce COVID-19 burden even when school contribution to transmission and immunity in the population is low. Moving forward, the adoption of antigen-based screenings in schools could be instrumental to limit COVID-19 burden while vaccines continue to be rolled out.
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Affiliation(s)
- Quan-Hui Liu
- College of Computer Science, Sichuan University, Chengdu, China
| | - Juanjuan Zhang
- School of Public Health, Fudan University, Key Laboratory of Public Health Safety, Ministry of Education, Shanghai, China
- Shanghai Institute of Infectious Disease and Biosecurity, Fudan University, Shanghai, China
- Department of Infectious Diseases, Huashan Hospital, Fudan University, Shanghai, China
| | - Cheng Peng
- School of Public Health, Fudan University, Key Laboratory of Public Health Safety, Ministry of Education, Shanghai, China
| | - Maria Litvinova
- Department of Epidemiology and Biostatistics, Indiana University School of Public Health, Bloomington, IN, USA
| | - Shudong Huang
- College of Computer Science, Sichuan University, Chengdu, China
| | - Piero Poletti
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
| | - Filippo Trentini
- Dondena Centre for Research on Social Dynamics and Public Policy, Bocconi University, Milan, Italy
| | - Giorgio Guzzetta
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
| | | | - Tao Zhou
- Big Data Research Center, University of Electronic Science and Technology of China, Chengdu, China
| | - Cecile Viboud
- Division of International Epidemiology and Population Studies, Fogarty International Center, National Institutes of Health, Bethesda, MD, USA
| | - Ana I Bento
- Department of Epidemiology and Biostatistics, Indiana University School of Public Health, Bloomington, IN, USA
| | - Jiancheng Lv
- College of Computer Science, Sichuan University, Chengdu, China
| | - Alessandro Vespignani
- Laboratory for the Modeling of Biological and Socio-technical Systems, Northeastern University, Boston, MA, USA
| | - Stefano Merler
- Center for Health Emergencies, Bruno Kessler Foundation, Trento, Italy
| | - Hongjie Yu
- School of Public Health, Fudan University, Key Laboratory of Public Health Safety, Ministry of Education, Shanghai, China.
- Shanghai Institute of Infectious Disease and Biosecurity, Fudan University, Shanghai, China.
- Department of Infectious Diseases, Huashan Hospital, Fudan University, Shanghai, China.
| | - Marco Ajelli
- Laboratory for Computational Epidemiology and Public Health, Department of Epidemiology and Biostatistics, Indiana University School of Public Health, Bloomington, IN, USA.
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