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Hao T, Ryan GE, Lydeamore MJ, Cromer D, Wood JG, McVernon J, McCaw JM, Shearer FM, Golding N. Predicting immune protection against outcomes of infectious disease from population-level effectiveness data with application to COVID-19. Vaccine 2025; 55:126987. [PMID: 40117726 DOI: 10.1016/j.vaccine.2025.126987] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2024] [Revised: 02/20/2025] [Accepted: 02/28/2025] [Indexed: 03/23/2025]
Abstract
Quantifying the extent to which previous infections and vaccinations confer protection against future infection or disease outcomes is critical to managing the transmission and consequences of infectious diseases. We present a general statistical model for predicting the strength of protection conferred by different immunising exposures (numbers, types, and strains of both vaccines and infections), against multiple outcomes of interest, whilst accounting for immune waning. We predict immune protection against key clinical outcomes: developing symptoms, hospitalisation, and death. We also predict transmission-related outcomes: acquisition of infection and onward transmission in breakthrough infections. These enable quantification of the impact of immunity on population-level transmission dynamics. Our model calibrates the level of immune protection, drawing on both population-level data, such as vaccine effectiveness estimates, and neutralising antibody levels as a correlate of protection. This enables the model to learn realised immunity levels beyond those which can be predicted by antibody kinetics or other correlates alone. We demonstrate an application of the model for SARS-CoV-2, and predict the individual-level protective effectiveness conferred by natural infections with the Delta and the Omicron B.1.1.529 variants, and by the BioNTech-Pfizer (BNT162b2), Oxford-AstraZeneca (ChAdOx1), and 3rd-dose mRNA booster vaccines, against outcomes for both Delta and Omicron. We also demonstrate a use case of the model in late 2021 during the emergence of Omicron, showing how the model can be rapidly updated with emerging epidemiological data on multiple variants in the same population, to infer key immunogenicity and intrinsic transmissibility characteristics of the new variant, before the former can be more directly observed via vaccine effectiveness data. This model provided timely inference on rapidly evolving epidemic situations of significant concern during the early stages of the COVID-19 pandemic. The general nature of the model enables it to be used to support management of a range of infectious diseases.
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Affiliation(s)
- Tianxiao Hao
- The Kids Research Institute, Nedlands, Western Australia, Australia; Melbourne School of Population and Global Health, The University of Melbourne, Victoria, Australia.
| | - Gerard E Ryan
- The Kids Research Institute, Nedlands, Western Australia, Australia; Melbourne School of Population and Global Health, The University of Melbourne, Victoria, Australia
| | - Michael J Lydeamore
- Department of Econometrics and Business Statistics, Monash University, Victoria, Australia
| | - Deborah Cromer
- Kirby Institute, University of New South Wales Sydney, New South Wales, Australia
| | - James G Wood
- School of Population Health, University of New South Wales Sydney, New South Wales, Australia
| | - Jodie McVernon
- The Peter Doherty Institute for Infection and Immunity, The University of Melbourne, Victoria, Australia; Victorian Infectious Disease Reference Laboratory Epidemiology Unit, The Royal Melbourne Hospital, Victoria, Australia
| | - James M McCaw
- Melbourne School of Population and Global Health, The University of Melbourne, Victoria, Australia; School of Mathematics and Statistics, The University of Melbourne, Victoria, Australia
| | - Freya M Shearer
- The Kids Research Institute, Nedlands, Western Australia, Australia; Melbourne School of Population and Global Health, The University of Melbourne, Victoria, Australia
| | - Nick Golding
- The Kids Research Institute, Nedlands, Western Australia, Australia; Melbourne School of Population and Global Health, The University of Melbourne, Victoria, Australia; School of Population Health, Curtin University, Western Australia, Australia
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2
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Mohammadi Dashtaki N, Mirahmadizadeh A, Fararouei M, Mohammadi Dashtaki R, Hoseini M, Nayeb MR. The Lag -Effects of Air Pollutants and Meteorological Factors on COVID-19 Infection Transmission and Severity: Using Machine Learning Techniques. J Res Health Sci 2024; 24:e00622. [PMID: 39311105 PMCID: PMC11380733 DOI: 10.34172/jrhs.2024.157] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2024] [Revised: 02/12/2024] [Accepted: 05/20/2024] [Indexed: 09/27/2024] Open
Abstract
BACKGROUND Exposure to air pollution is a major health problem worldwide. This study aimed to investigate the effect of the level of air pollutants and meteorological parameters with their related lag time on the transmission and severity of coronavirus disease 19 (COVID-19) using machine learning (ML) techniques in Shiraz, Iran. Study Design: An ecological study. METHODS In this ecological research, three main ML techniques, including decision trees, random forest, and extreme gradient boosting (XGBoost), have been applied to correlate meteorological parameters and air pollutants with infection transmission, hospitalization, and death due to COVID-19 from 1 October 2020 to 1 March 2022. These parameters and pollutants included particulate matter (PM2), sulfur dioxide (SO2 ), nitrogen dioxide (NO2 ), nitric oxide (NO), ozone (O3 ), carbon monoxide (CO), temperature (T), relative humidity (RH), dew point (DP), air pressure (AP), and wind speed (WS). RESULTS Based on the three ML techniques, NO2 (lag 5 day), CO (lag 4), and T (lag 25) were the most important environmental features affecting the spread of COVID-19 infection. In addition, the most important features contributing to hospitalization due to COVID-19 included RH (lag 28), T (lag 11), and O3 (lag 10). After adjusting for the number of infections, the most important features affecting the number of deaths caused by COVID-19 were NO2 (lag 20), O3 (lag 22), and NO (lag 23). CONCLUSION Our findings suggested that epidemics caused by COVID-19 and (possibly) similarly viral transmitted infections, including flu, air pollutants, and meteorological parameters, can be used to predict their burden on the community and health system. In addition, meteorological and air quality data should be included in preventive measures.
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Affiliation(s)
| | - Alireza Mirahmadizadeh
- Non-communicable Diseases Research Center, Shiraz University of Medical Sciences, Shiraz, Iran
| | - Mohammad Fararouei
- AIDS/HIV Research Center, School of Public Health, Shiraz University of Medical Sciences, Shiraz, Iran
| | | | - Mohammad Hoseini
- Department of Environmental Health Engineering, School of Health, Shiraz University of Medical Sciences, Shiraz, Iran
| | - Mohammad Reza Nayeb
- Student Research Committee, Shiraz University of Medical Sciences, Shiraz, Iran
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Tobias J, Steinberger P, Wilkinson J, Klais G, Kundi M, Wiedermann U. SARS-CoV-2 Vaccines: The Advantage of Mucosal Vaccine Delivery and Local Immunity. Vaccines (Basel) 2024; 12:795. [PMID: 39066432 PMCID: PMC11281395 DOI: 10.3390/vaccines12070795] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2024] [Revised: 07/10/2024] [Accepted: 07/15/2024] [Indexed: 07/28/2024] Open
Abstract
Immunity against respiratory pathogens is often short-term, and, consequently, there is an unmet need for the effective prevention of such infections. One such infectious disease is coronavirus disease 19 (COVID-19), which is caused by the novel Beta coronavirus SARS-CoV-2 that emerged around the end of 2019. The World Health Organization declared the illness a pandemic on 11 March 2020, and since then it has killed or sickened millions of people globally. The development of COVID-19 systemic vaccines, which impressively led to a significant reduction in disease severity, hospitalization, and mortality, contained the pandemic's expansion. However, these vaccines have not been able to stop the virus from spreading because of the restricted development of mucosal immunity. As a result, breakthrough infections have frequently occurred, and new strains of the virus have been emerging. Furthermore, SARS-CoV-2 will likely continue to circulate and, like the influenza virus, co-exist with humans. The upper respiratory tract and nasal cavity are the primary sites of SARS-CoV-2 infection and, thus, a mucosal/nasal vaccination to induce a mucosal response and stop the virus' transmission is warranted. In this review, we present the status of the systemic vaccines, both the approved mucosal vaccines and those under evaluation in clinical trials. Furthermore, we present our approach of a B-cell peptide-based vaccination applied by a prime-boost schedule to elicit both systemic and mucosal immunity.
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Affiliation(s)
- Joshua Tobias
- Institute of Specific Prophylaxis and Tropical Medicine, Center for Pathophysiology, Infectiology and Immunology, Medical University of Vienna, 1090 Vienna, Austria
| | - Peter Steinberger
- Division of Immune Receptors and T Cell Activation, Institute of Immunology, Center for Pathophysiology, Infectiology and Immunology, Medical University of Vienna, 1090 Vienna, Austria;
| | - Joy Wilkinson
- Institute of Specific Prophylaxis and Tropical Medicine, Center for Pathophysiology, Infectiology and Immunology, Medical University of Vienna, 1090 Vienna, Austria
| | - Gloria Klais
- Institute of Specific Prophylaxis and Tropical Medicine, Center for Pathophysiology, Infectiology and Immunology, Medical University of Vienna, 1090 Vienna, Austria
| | - Michael Kundi
- Department of Environmental Health, Center for Public Health, Medical University of Vienna, 1090 Vienna, Austria;
| | - Ursula Wiedermann
- Institute of Specific Prophylaxis and Tropical Medicine, Center for Pathophysiology, Infectiology and Immunology, Medical University of Vienna, 1090 Vienna, Austria
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Watson LM, Plank MJ, Armstrong BA, Chapman JR, Hewitt J, Morris H, Orsi A, Bunce M, Donnelly CA, Steyn N. Jointly estimating epidemiological dynamics of Covid-19 from case and wastewater data in Aotearoa New Zealand. COMMUNICATIONS MEDICINE 2024; 4:143. [PMID: 39009723 PMCID: PMC11250817 DOI: 10.1038/s43856-024-00570-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2023] [Accepted: 07/04/2024] [Indexed: 07/17/2024] Open
Abstract
BACKGROUND Timely and informed public health responses to infectious diseases such as COVID-19 necessitate reliable information about infection dynamics. The case ascertainment rate (CAR), the proportion of infections that are reported as cases, is typically much less than one and varies with testing practices and behaviours, making reported cases unreliable as the sole source of data. The concentration of viral RNA in wastewater samples provides an alternate measure of infection prevalence that is not affected by clinical testing, healthcare-seeking behaviour or access to care. METHODS We construct a state-space model with observed data of levels of SARS-CoV-2 in wastewater and reported case incidence and estimate the hidden states of the effective reproduction number, R, and CAR using sequential Monte Carlo methods. RESULTS We analyse data from 1 January 2022 to 31 March 2023 from Aotearoa New Zealand. Our model estimates that R peaks at 2.76 (95% CrI 2.20, 3.83) around 18 February 2022 and the CAR peaks around 12 March 2022. We calculate that New Zealand's second Omicron wave in July 2022 is similar in size to the first, despite fewer reported cases. We estimate that the CAR in the BA.5 Omicron wave in July 2022 is approximately 50% lower than in the BA.1/BA.2 Omicron wave in March 2022. CONCLUSIONS Estimating R, CAR, and cumulative number of infections provides useful information for planning public health responses and understanding the state of immunity in the population. This model is a useful disease surveillance tool, improving situational awareness of infectious disease dynamics in real-time.
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Affiliation(s)
- Leighton M Watson
- School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand.
| | - Michael J Plank
- School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
| | | | - Joanne R Chapman
- Institute of Environmental Science and Research Ltd, Porirua, New Zealand
| | - Joanne Hewitt
- Institute of Environmental Science and Research Ltd, Porirua, New Zealand
| | - Helen Morris
- Institute of Environmental Science and Research Ltd, Porirua, New Zealand
| | - Alvaro Orsi
- Institute of Environmental Science and Research Ltd, Porirua, New Zealand
| | - Michael Bunce
- Institute of Environmental Science and Research Ltd, Porirua, New Zealand
| | - Christl A Donnelly
- Department of Statistics, University of Oxford, Oxford, United Kingdom
- Pandemic Sciences Institute, University of Oxford, Oxford, United Kingdom
| | - Nicholas Steyn
- Department of Statistics, University of Oxford, Oxford, United Kingdom
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5
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Roberts MG, Hickson RI, McCaw JM. How immune dynamics shape multi-season epidemics: a continuous-discrete model in one dimensional antigenic space. J Math Biol 2024; 88:48. [PMID: 38538962 PMCID: PMC10973021 DOI: 10.1007/s00285-024-02076-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2023] [Revised: 02/25/2024] [Accepted: 03/05/2024] [Indexed: 04/01/2024]
Abstract
We extend a previously published model for the dynamics of a single strain of an influenza-like infection. The model incorporates a waning acquired immunity to infection and punctuated antigenic drift of the virus, employing a set of coupled integral equations within a season and a discrete map between seasons. The long term behaviour of the model is demonstrated by examples where immunity to infection depends on the time since a host was last infected, and where immunity depends on the number of times that a host has been infected. The first scenario leads to complicated dynamics in some regions of parameter space, and to regions of parameter space with more than one attractor. The second scenario leads to a stable fixed point, corresponding to an identical epidemic each season. We also examine the model with both paradigms in combination, almost always but not exclusively observing a stable fixed point or periodic solution. Adding stochastic perturbations to the between season map fails to destroy the model's qualitative dynamics. Our results suggest that if the level of host immunity depends on the elapsed time since the last infection then the epidemiological dynamics may be unpredictable.
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Affiliation(s)
- M G Roberts
- New Zealand Institute for Advanced Study and the Infectious Disease Research Centre, Massey University, Auckland, New Zealand.
| | - R I Hickson
- Health and Biosecurity, CSIRO, Townsville, QLD, 4814, Australia
- Australian Institute of Tropical Medicine and Hygiene, and College of Public Health, Medical and Veterinary Sciences, James Cook University, Townsville, QLD, 4814, Australia
- School of Mathematics and Statistics, Faculty of Science, University of Melbourne, Melbourne, VIC, 3010, Australia
| | - J M McCaw
- School of Mathematics and Statistics, Faculty of Science, University of Melbourne, Melbourne, VIC, 3010, Australia
- Centre for Epidemiology and Biostatistics, Melbourne School of Population and Global Health, Faculty of Medicine, Dentistry and Health Sciences, University of Melbourne, Melbourne, VIC, 3010, Australia
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6
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Plank MJ, Watson L, Maclaren OJ. Near-term forecasting of Covid-19 cases and hospitalisations in Aotearoa New Zealand. PLoS Comput Biol 2024; 20:e1011752. [PMID: 38190380 PMCID: PMC10798620 DOI: 10.1371/journal.pcbi.1011752] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2023] [Revised: 01/19/2024] [Accepted: 12/12/2023] [Indexed: 01/10/2024] Open
Abstract
Near-term forecasting of infectious disease incidence and consequent demand for acute healthcare services can support capacity planning and public health responses. Despite well-developed scenario modelling to support the Covid-19 response, Aotearoa New Zealand lacks advanced infectious disease forecasting capacity. We develop a model using Aotearoa New Zealand's unique Covid-19 data streams to predict reported Covid-19 cases, hospital admissions and hospital occupancy. The method combines a semi-mechanistic model for disease transmission to predict cases with Gaussian process regression models to predict the fraction of reported cases that will require hospital treatment. We evaluate forecast performance against out-of-sample data over the period from 2 October 2022 to 23 July 2023. Our results show that forecast performance is reasonably good over a 1-3 week time horizon, although generally deteriorates as the time horizon is lengthened. The model has been operationalised to provide weekly national and regional forecasts in real-time. This study is an important step towards development of more sophisticated situational awareness and infectious disease forecasting tools in Aotearoa New Zealand.
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Affiliation(s)
- Michael J. Plank
- School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
| | - Leighton Watson
- School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
| | - Oliver J. Maclaren
- Department of Engineering Science, University of Auckland, Auckland, New Zealand
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7
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Wu Y, Zhou W, Tang S, Cheke RA, Wang X. Prediction of the next major outbreak of COVID-19 in Mainland China and a vaccination strategy for it. ROYAL SOCIETY OPEN SCIENCE 2023; 10:230655. [PMID: 37650063 PMCID: PMC10465198 DOI: 10.1098/rsos.230655] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2023] [Accepted: 08/14/2023] [Indexed: 09/01/2023]
Abstract
After the widespread prevalence of COVID-19 at the end of 2022 in Mainland China, a major concern is when will the second major outbreak occur and with what prevalence and fatality rates will it be associated with, as peoples' immunity from natural infection subsides. To address this, we established an age-structured model considering vaccine and infection-derived immunity, fitted an immunity-waning curve, and calibrated the model using the epidemic and vaccination data from Hong Kong in 2022. The model and the situation of the first major epidemic in Mainland China were then used to predict the prevalence rate, fatality rate and peak time of the second wave. In addition, the controlling effects of different vaccination strategies on the second major outbreak are discussed. Finally, a characterization indicator for the level of population immunity was provided. We conclude that if the prevalence of the first major epidemic was 80%, the prevalence rate of the second major outbreak would be about 37.64%, and the peak time would have been July 2 2023. Strengthening vaccination can effectively delay the peak of the second wave of the epidemic and reduce the prevalence.
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Affiliation(s)
- Yuanyuan Wu
- School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, People's Republic of China
| | - Weike Zhou
- School of Mathematics, Northwest University, Xi'an 710127, People's Republic of China
| | - Sanyi Tang
- School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, People's Republic of China
| | - Robert A. Cheke
- Natural Resources Institute, University of Greenwich at Medway, Central Avenue, Chatham Maritime, Kent ME4 4TB, UK
- Department of Infectious Disease Epidemiology, School of Public Health, Imperial College London, St Mary's Campus, Norfolk Place, London W2 1PG, UK
| | - Xia Wang
- School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, People's Republic of China
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8
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Wang X, Liang Y, Li J, Liu M. Modeling COVID-19 transmission dynamics incorporating media coverage and vaccination. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2023; 20:10392-10403. [PMID: 37322938 DOI: 10.3934/mbe.2023456] [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: 06/17/2023]
Abstract
The COVID-19 pandemic has caused widespread concern around the world. In order to study the impact of media coverage and vaccination on the spread of COVID-19, we establish an SVEAIQR infectious disease model, and fit the important parameters such as transmission rate, isolation rate and vaccine efficiency based on the data from Shanghai Municipal Health Commission and the National Health Commission of the People's Republic of China. Meanwhile, the control reproduction number and the final size are derived. Moreover, through sensitivity analysis by PRCC (partial rank correlation coefficient), we discuss the effects of both the behavior change constant $ k $ according to media coverage and the vaccine efficiency $ \varepsilon $ on the transmission of COVID-19. Numerical explorations of the model suggest that during the outbreak of the epidemic, media coverage can reduce the final size by about 0.26 times. Besides that, comparing with $ 50\% $ vaccine efficiency, when the vaccine efficiency reaches $ 90\% $, the peak value of infected people decreases by about 0.07 times. In addition, we simulate the impact of media coverage on the number of infected people in the case of vaccination or non-vaccination. Accordingly, the management departments should pay attention to the impact of vaccination and media coverage.
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Affiliation(s)
- Xiaojing Wang
- School of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616, China
| | - Yu Liang
- School of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616, China
| | - Jiahui Li
- School of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616, China
| | - Maoxing Liu
- School of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616, China
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9
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Vattiato G, Lustig A, Maclaren O, Binny RN, Hendy SC, Harvey E, O'Neale D, Plank MJ. Modelling Aotearoa New Zealand's COVID-19 protection framework and the transition away from the elimination strategy. ROYAL SOCIETY OPEN SCIENCE 2023; 10:220766. [PMID: 36756071 PMCID: PMC9890088 DOI: 10.1098/rsos.220766] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/16/2022] [Accepted: 01/06/2023] [Indexed: 05/29/2023]
Abstract
For the first 18 months of the COVID-19 pandemic, New Zealand used an elimination strategy to suppress community transmission of SARS-CoV-2 to zero or very low levels. In late 2021, high vaccine coverage enabled the country to transition away from the elimination strategy to a mitigation strategy. However, given negligible levels of immunity from prior infection, this required careful planning and an effective public health response to avoid uncontrolled outbreaks and unmanageable health impacts. Here, we develop an age-structured model for the Delta variant of SARS-CoV-2 including the effects of vaccination, case isolation, contact tracing, border controls and population-wide control measures. We use this model to investigate how epidemic trajectories may respond to different control strategies, and to explore trade-offs between restrictions in the community and restrictions at the border. We find that a low case tolerance strategy, with a quick change to stricter public health measures in response to increasing cases, reduced the health burden by a factor of three relative to a high tolerance strategy, but almost tripled the time spent in national lockdowns. Increasing the number of border arrivals was found to have a negligible effect on health burden once high vaccination rates were achieved and community transmission was widespread.
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Affiliation(s)
- Giorgia Vattiato
- School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
- Department of Physics, University of Auckland, Auckland, New Zealand
- Te Pūnaha Matatini, Auckland, New Zealand
| | - Audrey Lustig
- Te Pūnaha Matatini, Auckland, New Zealand
- Manaaki Whenua, Lincoln, New Zealand
| | - Oliver Maclaren
- Department of Engineering Science, University of Auckland, Auckland, New Zealand
| | - Rachelle N. Binny
- Te Pūnaha Matatini, Auckland, New Zealand
- Manaaki Whenua, Lincoln, New Zealand
| | - Shaun C. Hendy
- Department of Physics, University of Auckland, Auckland, New Zealand
- Te Pūnaha Matatini, Auckland, New Zealand
| | - Emily Harvey
- Te Pūnaha Matatini, Auckland, New Zealand
- M.E. Research, Takapuna, Auckland, New Zealand
| | - Dion O'Neale
- Department of Physics, University of Auckland, Auckland, New Zealand
- Te Pūnaha Matatini, Auckland, New Zealand
| | - Michael J. Plank
- School of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
- Te Pūnaha Matatini, Auckland, New Zealand
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10
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Lustig A, Vattiato G, Maclaren O, Watson LM, Datta S, Plank MJ. Modelling the impact of the Omicron BA.5 subvariant in New Zealand. J R Soc Interface 2023; 20:20220698. [PMID: 36722072 PMCID: PMC9890098 DOI: 10.1098/rsif.2022.0698] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2022] [Accepted: 01/06/2023] [Indexed: 02/02/2023] Open
Abstract
New Zealand experienced a wave of the Omicron variant of SARS-CoV-2 in early 2022, which occurred against a backdrop of high two-dose vaccination rates, ongoing roll-out of boosters and paediatric doses, and negligible levels of prior infection. New Omicron subvariants have subsequently emerged with a significant growth advantage over the previously dominant BA.2. We investigated a mathematical model that included waning of vaccine-derived and infection-derived immunity, as well as the impact of the BA.5 subvariant which began spreading in New Zealand in May 2022. The model was used to provide scenarios to the New Zealand Government with differing levels of BA.5 growth advantage, helping to inform policy response and healthcare system preparedness during the winter period. In all scenarios investigated, the projected peak in new infections during the BA.5 wave was smaller than in the first Omicron wave in March 2022. However, results indicated that the peak hospital occupancy was likely to be higher than in March 2022, primarily due to a shift in the age distribution of infections to older groups. We compare model results with subsequent epidemiological data and show that the model provided a good projection of cases, hospitalizations and deaths during the BA.5 wave.
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Affiliation(s)
| | - Giorgia Vattiato
- Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
- Department of Physics, The University of Auckland, Auckland, New Zealand
| | - Oliver Maclaren
- Department of Engineering Science, University of Auckland, Auckland, New Zealand
| | - Leighton M. Watson
- School of Earth and Environment, University of Canterbury, Christchurch, New Zealand
| | - Samik Datta
- National Institute of Water and Atmospheric Research, Wellington, New Zealand
| | - Michael J. Plank
- Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
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11
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Ghosh S, Volpert V, Banerjee M. An age-dependent immuno-epidemiological model with distributed recovery and death rates. J Math Biol 2023; 86:21. [PMID: 36625974 PMCID: PMC9838470 DOI: 10.1007/s00285-022-01855-8] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/24/2022] [Revised: 12/06/2022] [Accepted: 12/09/2022] [Indexed: 01/11/2023]
Abstract
The work is devoted to a new immuno-epidemiological model with distributed recovery and death rates considered as functions of time after the infection onset. Disease transmission rate depends on the intra-subject viral load determined from the immunological submodel. The age-dependent model includes the viral load, recovery and death rates as functions of age considered as a continuous variable. Equations for susceptible, infected, recovered and dead compartments are expressed in terms of the number of newly infected cases. The analysis of the model includes the proof of the existence and uniqueness of solution. Furthermore, it is shown how the model can be reduced to age-dependent SIR or delay model under certain assumptions on recovery and death distributions. Basic reproduction number and final size of epidemic are determined for the reduced models. The model is validated with a COVID-19 case data. Modelling results show that proportion of young age groups can influence the epidemic progression since disease transmission rate for them is higher than for other age groups.
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Affiliation(s)
- Samiran Ghosh
- Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208016 Uttar Pradesh India
| | - Vitaly Volpert
- Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
- Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russian Federation
| | - Malay Banerjee
- Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208016 Uttar Pradesh India
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