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Bolton KJ, McCaw JM, Dafilis MP, McVernon J, Heffernan JM. Seasonality as a driver of pH1N12009 influenza vaccination campaign impact. Epidemics 2023; 45:100730. [PMID: 38056164 DOI: 10.1016/j.epidem.2023.100730] [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: 03/28/2023] [Revised: 07/18/2023] [Accepted: 11/16/2023] [Indexed: 12/08/2023] Open
Abstract
Although the most recent respiratory virus pandemic was triggered by a Coronavirus, sustained and elevated prevalence of highly pathogenic avian influenza viruses able to infect mammalian hosts highlight the continued threat of pandemics of influenza A virus (IAV) to global health. Retrospective analysis of pandemic outcomes, including comparative investigation of intervention efficacy in different regions, provide important contributions to the evidence base for future pandemic planning. The swine-origin IAV pandemic of 2009 exhibited regional variation in onset, infection dynamics and annual infection attack rates (IARs). For example, the UK experienced three severe peaks of infection over two influenza seasons, whilst Australia experienced a single severe wave. We adopt a seasonally forced 2-subtype model for the transmission of pH1N12009 and seasonal H3N2 to examine the role vaccination campaigns may play in explaining differences in pandemic trajectories in temperate regions. Our model differentiates between the nature of vaccine- and infection-acquired immunity. In particular, we assume that immunity triggered by infection elicits heterologous cross-protection against viral shedding in addition to long-lasting neutralising antibody, whereas vaccination induces imperfect reduction in susceptibility. We employ an Approximate Bayesian Computation (ABC) framework to calibrate the model using data for pH1N12009 seroprevalence, relative subtype dominance, and annual IARs for Australia and the UK. Heterologous cross-protection substantially suppressed the pandemic IAR over the posterior, with the strength of protection against onward transmission inversely correlated with the initial reproduction number. We show that IAV pandemic timing relative to the usual seasonal influenza cycle influenced the size of the initial waves of pH1N12009 in temperate regions and the impact of vaccination campaigns.
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Affiliation(s)
- Kirsty J Bolton
- School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK.
| | - James M McCaw
- School of Mathematics and Statistics, The University of Melbourne, Parkville, Australia; Centre for Epidemiology and Biostatistics, Melbourne School of Population and Global Health, The University of Melbourne, Parkville, Australia
| | - Mathew P Dafilis
- Centre for Epidemiology and Biostatistics, Melbourne School of Population and Global Health, The University of Melbourne, Parkville, Australia
| | - Jodie McVernon
- Peter Doherty Institute for Infection and Immunity, The Royal Melbourne Hospital and The University of Melbourne, Parkville, Australia
| | - Jane M Heffernan
- Centre for Disease Modelling, Mathematics & Statistics, York University, Canada
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Alahakoon P, Taylor PG, McCaw JM. How effective were Australian Quarantine Stations in mitigating transmission aboard ships during the influenza pandemic of 1918-19? PLoS Comput Biol 2023; 19:e1011656. [PMID: 38011267 PMCID: PMC10703403 DOI: 10.1371/journal.pcbi.1011656] [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: 03/07/2023] [Revised: 12/07/2023] [Accepted: 11/03/2023] [Indexed: 11/29/2023] Open
Abstract
The influenza pandemic of 1918-19 was the most devastating pandemic of the 20th century. It killed an estimated 50-100 million people worldwide. In late 1918, when the severity of the disease was apparent, the Australian Quarantine Service was established. Vessels returning from overseas and inter-state were intercepted, and people were examined for signs of illness and quarantined. Some of these vessels carried the infection throughout their voyage and cases were prevalent by the time the ship arrived at a Quarantine Station. We study four outbreaks that took place on board the Medic, Boonah, Devon, and Manuka in late 1918. These ships had returned from overseas and some of them were carrying troops that served in the First World War. By analysing these outbreaks under a stochastic Bayesian hierarchical modeling framework, we estimate the transmission rates among crew and passengers aboard these ships. Furthermore, we ask whether the removal of infectious, convalescent, and healthy individuals after arriving at a Quarantine Station in Australia was an effective public health response.
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Affiliation(s)
- Punya Alahakoon
- School of Mathematics and Statistics,The University of Melbourne, Melbourne, Australia
- School of Population Health, University of New South Wales, Sydney, Australia
- Kirby Institute, University of New South Wales, Sydney, Australia
| | - Peter G. Taylor
- School of Mathematics and Statistics,The University of Melbourne, Melbourne, Australia
| | - James M. McCaw
- School of Mathematics and Statistics,The University of Melbourne, Melbourne, Australia
- Centre for Epidemiology and Biostatistics, Melbourne School of Population and Global Health, The University of Melbourne, Melbourne, Australia
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Matthes KL, Le Vu M, Bhattacharyya U, Galliker A, Kordi M, Floris J, Staub K. Reinfections and Cross-Protection in the 1918/19 Influenza Pandemic: Revisiting a Survey Among Male and Female Factory Workers. Int J Public Health 2023; 68:1605777. [PMID: 37180611 PMCID: PMC10169597 DOI: 10.3389/ijph.2023.1605777] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2023] [Accepted: 04/12/2023] [Indexed: 05/16/2023] Open
Abstract
Objectives: The COVID-19 pandemic highlights questions regarding reinfections and immunity resulting from vaccination and/or previous illness. Studies addressing related questions for historical pandemics are limited. Methods: We revisit an unnoticed archival source on the 1918/19 influenza pandemic. We analysed individual responses to a medical survey completed by an entire factory workforce in Western Switzerland in 1919. Results: Among the total of n = 820 factory workers, 50.2% reported influenza-related illness during the pandemic, the majority of whom reported severe illness. Among male workers 47.4% reported an illness vs. 58.5% of female workers, although this might be explained by varied age distribution for each sex (median age was 31 years old for men, vs. 22 years old for females). Among those who reported illness, 15.3% reported reinfections. Reinfection rates increased across the three pandemic waves. The majority of subsequent infections were reported to be as severe as the first infection, if not more. Illness during the first wave, in the summer of 1918, was associated with a 35.9% (95%CI, 15.7-51.1) protective effect against reinfections during later waves. Conclusion: Our study draws attention to a forgotten constant between multi-wave pandemics triggered by respiratory viruses: Reinfection and cross-protection have been and continue to be a key topic for health authorities and physicians in pandemics, becoming increasingly important as the number of waves increases.
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Affiliation(s)
- Katarina L. Matthes
- Institute of Evolutionary Medicine, University of Zurich, Zürich, Switzerland
| | - Mathilde Le Vu
- Institute of Evolutionary Medicine, University of Zurich, Zürich, Switzerland
| | | | - Antonia Galliker
- Institute of Evolutionary Medicine, University of Zurich, Zürich, Switzerland
| | - Maryam Kordi
- Institute of Evolutionary Medicine, University of Zurich, Zürich, Switzerland
| | - Joël Floris
- Institute of Evolutionary Medicine, University of Zurich, Zürich, Switzerland
| | - Kaspar Staub
- Institute of Evolutionary Medicine, University of Zurich, Zürich, Switzerland
- Swiss School of Public Health (SSPH+), Zurich, Switzerland
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Staub K, Jüni P, Urner M, Matthes KL, Leuch C, Gemperle G, Bender N, Fabrikant SI, Puhan M, Rühli F, Gruebner O, Floris J. Public Health Interventions, Epidemic Growth, and Regional Variation of the 1918 Influenza Pandemic Outbreak in a Swiss Canton and Its Greater Regions. Ann Intern Med 2021; 174:533-539. [PMID: 33556268 PMCID: PMC7901603 DOI: 10.7326/m20-6231] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 12/02/2022] Open
Abstract
Public health interventions implemented during the coronavirus disease 2019 (COVID-19) pandemic are based on experience gained from past pandemics. The 1918 influenza pandemic is the most extensively researched historical influenza outbreak. All 9335 reports available in the State Archives on 121 152 cases of influenza-like illness from the canton of Bern from 473 of 497 municipalities (95.2%) were collected; the cases were registered between 30 June 1918 and 30 June 1919. The overall incidence rates of newly registered cases per week for the 9 greater regions of Bern for both the first and second waves of the pandemic were calculated. Relative incidence rate ratios (RIRRs) were calculated to estimate the change in the slope of incidence curves associated with public health interventions. During the first wave, school closures (RIRR, 0.16 [95% CI, 0.15 to 0.17]) and restrictions of mass gatherings (RIRR, 0.57 [CI, 0.54 to 0.61]) were associated with a deceleration of epidemic growth. During the second wave, in autumn 1918, cantonal authorities initially reacted hesitantly and delegated the responsibility to enact interventions to municipal authorities, which was associated with a lack of containment of the second wave. A premature relaxation of restrictions on mass gatherings was associated with a resurgence of the epidemic (RIRR, 1.18 [CI, 1.12 to 1.25]). Strikingly similar patterns were found in the management of the COVID-19 outbreak in Switzerland, with a considerably higher amplitude and prolonged duration of the second wave and much higher associated rates of hospitalization and mortality.
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Affiliation(s)
- Kaspar Staub
- Institute of Evolutionary Medicine, the Zurich Center for Integrative Human Physiology, and Digital Society Initiative, University of Zurich, Zurich, and the Institute of History, University of Bern, Bern, Switzerland (K.S.)
| | - Peter Jüni
- Applied Health Research Centre, Li Ka Shing Knowledge Institute, St Michael's Hospital, the Institute of Health Policy, Management, and Evaluation, University of Toronto, and the Ontario COVID-19 Science Advisory Table, Toronto, Ontario, Canada (P.J.)
| | - Martin Urner
- Critical Care Medicine, Toronto General Hospital, University Health Network, and Institute of Health Policy, Management, and Evaluation, University of Toronto, Toronto, Ontario, Canada (M.U.)
| | - Katarina L Matthes
- Institute of Evolutionary Medicine, University of Zurich, Zurich, Switzerland (K.L.M., G.G., N.B.)
| | - Corina Leuch
- Geographic Institute, University of Zurich, Zurich, Switzerland (C.L.)
| | - Gina Gemperle
- Institute of Evolutionary Medicine, University of Zurich, Zurich, Switzerland (K.L.M., G.G., N.B.)
| | - Nicole Bender
- Institute of Evolutionary Medicine, University of Zurich, Zurich, Switzerland (K.L.M., G.G., N.B.)
| | - Sara I Fabrikant
- Digital Society Initiative and the Geographic Institute, University of Zurich, Zurich, Switzerland (S.I.F.)
| | - Milo Puhan
- Epidemiology, Biostatistics and Prevention Institute, University of Zurich, Zurich, Switzerland (M.P.)
| | - Frank Rühli
- Institute of Evolutionary Medicine, the Zurich Center for Integrative Human Physiology, and the Digital Society Initiative, University of Zurich, Zurich, Switzerland (F.R.)
| | - Oliver Gruebner
- Digital Society Initiative, the Epidemiology, Biostatistics and Prevention Institute, and the Geographic Institute, University of Zurich, Zurich, Switzerland (O.G.)
| | - Joël Floris
- Institute of Evolutionary Medicine and the Digital Society Initiative, University of Zurich, Zurich, Switzerland (J.F.)
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Tripp L, Sawchuk LA, Saliba M. Deconstructing the 1918–1919 Influenza Pandemic in the Maltese Islands: A Biosocial Perspective. CURRENT ANTHROPOLOGY 2018. [DOI: 10.1086/696939] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
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Effects of reactive social distancing on the 1918 influenza pandemic. PLoS One 2017; 12:e0180545. [PMID: 28704460 PMCID: PMC5507503 DOI: 10.1371/journal.pone.0180545] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/09/2017] [Accepted: 06/16/2017] [Indexed: 11/19/2022] Open
Abstract
The 1918 influenza pandemic was characterized by multiple epidemic waves. We investigated reactive social distancing, a form of behavioral response where individuals avoid potentially infectious contacts in response to available information on an ongoing epidemic or pandemic. We modelled its effects on the three influenza waves in the United Kingdom. In previous studies, human behavioral response was modelled by a Power function of the proportion of recent influenza mortality in a population, and by a Hill function, which is a function of the number of recent influenza mortality. Using a simple epidemic model with a Power function and one common set of parameters, we provided a good model fit for the observed multiple epidemic waves in London boroughs, Birmingham and Liverpool. We further applied the model parameters from these three cities to all 334 administrative units in England and Wales and including the population sizes of individual administrative units. We computed the Pearson's correlation between the observed and simulated for each administrative unit. We found a median correlation of 0.636, indicating that our model predictions are performing reasonably well. Our modelling approach is an improvement from previous studies where separate models are fitted to each city. With the reduced number of model parameters used, we achieved computational efficiency gain without over-fitting the model. We also showed the importance of reactive behavioral distancing as a potential non-pharmaceutical intervention during an influenza pandemic. Our work has both scientific and public health significance.
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Moss R, McCaw JM, Cheng AC, Hurt AC, McVernon J. Reducing disease burden in an influenza pandemic by targeted delivery of neuraminidase inhibitors: mathematical models in the Australian context. BMC Infect Dis 2016; 16:552. [PMID: 27724915 PMCID: PMC5057455 DOI: 10.1186/s12879-016-1866-7] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2016] [Accepted: 09/23/2016] [Indexed: 12/25/2022] Open
Abstract
BACKGROUND Many nations maintain stockpiles of neuraminidase inhibitor (NAI) antiviral agents for use in influenza pandemics to reduce transmission and mitigate the course of clinical infection. Pandemic preparedness plans include the use of these stockpiles to deliver proportionate responses, informed by emerging evidence of clinical impact. Recent uncertainty about the effectiveness of NAIs has prompted these nations to reconsider the role of NAIs in pandemic response, with implications for pandemic planning and for NAI stockpile size. METHODS We combined a dynamic model of influenza epidemiology with a model of the clinical care pathways in the Australian health care system to identify effective NAI strategies for reducing morbidity and mortality in pandemic events, and the stockpile requirements for these strategies. The models were informed by a 2015 assessment of NAI effectiveness against susceptibility, pathogenicity, and transmission of influenza. RESULTS Liberal distribution of NAIs for early treatment in outpatient settings yielded the greatest benefits in all of the considered scenarios. Restriction of community-based treatment to risk groups was effective in those groups, but failed to prevent the large proportion of cases arising from lower risk individuals who comprise the majority of the population. CONCLUSIONS These targeted strategies are only effective if they can be deployed within the constraints of existing health care infrastructure. This finding highlights the critical importance of identifying optimal models of care delivery for effective emergency health care response.
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Affiliation(s)
- Robert Moss
- Modelling and Simulation Unit Centre for Epidemiology and Biostatistics Melbourne School of Population and Global Health, The University of Melbourne, Level 3, 207 Bouverie St, Melbourne, 3010, Victoria, Australia.
| | - James M McCaw
- Modelling and Simulation Unit Centre for Epidemiology and Biostatistics Melbourne School of Population and Global Health, The University of Melbourne, Level 3, 207 Bouverie St, Melbourne, 3010, Victoria, Australia.,School of Mathematics and Statistics, The University of Melbourne, Melbourne, Australia.,Murdoch Childrens Research Institute, Melbourne, Australia
| | - Allen C Cheng
- Infectious Disease Epidemiology Unit, Department of Epidemiology and Preventive Medicine, Monash University, Melbourne, Australia.,Infection Prevention and Healthcare Epidemiology Unit, Alfred Health, Melbourne, Australia
| | - Aeron C Hurt
- WHO Collaborating Centre for Reference and Research on Influenza, Peter Doherty Institute, Melbourne, Australia
| | - Jodie McVernon
- Modelling and Simulation Unit Centre for Epidemiology and Biostatistics Melbourne School of Population and Global Health, The University of Melbourne, Level 3, 207 Bouverie St, Melbourne, 3010, Victoria, Australia.,Murdoch Childrens Research Institute, Melbourne, Australia
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8
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Arriaga-Pizano L, Ferat-Osorio E, Rodríguez-Abrego G, Mancilla-Herrera I, Domínguez-Cerezo E, Valero-Pacheco N, Pérez-Toledo M, Lozano-Patiño F, Laredo-Sánchez F, Malagón-Rangel J, Nellen-Hummel H, González-Bonilla C, Arteaga-Troncoso G, Cérbulo-Vázquez A, Pastelin-Palacios R, Klenerman P, Isibasi A, López-Macías C. Differential Immune Profiles in Two Pandemic Influenza A(H1N1)pdm09 Virus Waves at Pandemic Epicenter. Arch Med Res 2015; 46:651-8. [PMID: 26696552 PMCID: PMC4914610 DOI: 10.1016/j.arcmed.2015.12.003] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2015] [Accepted: 12/01/2015] [Indexed: 11/26/2022]
Abstract
Background and Aims Severe influenza A(H1N1)pdm2009 virus infection cases are characterized by sustained immune activation during influenza pandemics. Seasonal flu data suggest that immune mediators could be modified by wave-related changes. Our aim was to determine the behavior of soluble and cell-related mediators in two waves at the epicenter of the 2009 influenza pandemic. Methods Leukocyte surface activation markers were studied in serum from peripheral blood samples, collected from the 1st (April–May, 2009) and 2nd (October 2009–February 2010) pandemic waves. Patients with confirmed influenza A(H1N1)pdm2009 virus infection (H1N1), influenza-like illness (ILI) or healthy donors (H) were analyzed. Results Serum IL-6, IL-4 and IL-10 levels were elevated in H1N1 patients from the 2nd pandemic wave. Additionally, the frequency of helper and cytotoxic T cells was reduced during the 1st wave, whereas CD69 expression in helper T cells was increased in the 2nd wave for both H1N1 and ILI patients. In contrast, CD62L expression in granulocytes from the ILI group was increased in both waves but in monocytes only in the 2nd wave. Triggering Receptor Expressed on Myeloid cells (TREM)-1 expression was elevated only in H1N1 patients at the 1st wave. Conclusions Our results show that during the 2009 influenza pandemic a T cell activation phenotype is observed in a wave-dependent fashion, with an expanded activation in the 2nd wave, compared to the 1st wave. Conversely, granulocyte and monocyte activation is infection-dependent. This evidence collected at the pandemic epicenter in 2009 could help us understand the differences in the underlying cellular mechanisms that drive the wave-related immune profile behaviors that occur against influenza viruses during pandemics.
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Affiliation(s)
- Lourdes Arriaga-Pizano
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | - Eduardo Ferat-Osorio
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico; Gastrointestinal Surgery Service, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | | | - Ismael Mancilla-Herrera
- Infectology and Immunology department, National Institute of Perinatology, SSA, Mexico City, Mexico
| | - Esteban Domínguez-Cerezo
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico; Graduate Program on Immunology, ENCB-IPN, Mexico City, Mexico
| | - Nuriban Valero-Pacheco
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico; Graduate Program on Immunology, ENCB-IPN, Mexico City, Mexico
| | - Marisol Pérez-Toledo
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico; Graduate Program on Immunology, ENCB-IPN, Mexico City, Mexico
| | - Fernando Lozano-Patiño
- Internal Medicine Service, Specialties Hospital of the National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | - Fernando Laredo-Sánchez
- Internal Medicine Service, Specialties Hospital of the National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | - José Malagón-Rangel
- Internal Medicine Service, Specialties Hospital of the National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | - Haiko Nellen-Hummel
- Internal Medicine Service, Specialties Hospital of the National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | - César González-Bonilla
- Unit for Epidemiological Surveillance, National Medical Center La Raza, IMSS, Mexico City, Mexico
| | | | | | | | - Paul Klenerman
- Oxford Biomedical Research Centre and Oxford Martin School, Nuffield Department of Medicine, University of Oxford, Oxford, UK
| | - Armando Isibasi
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico
| | - Constantino López-Macías
- Medical Research Unit in Immunochemistry, Specialties Hospital, National Medical Center Siglo XXI, IMSS, Mexico City, Mexico; Visiting Professor of Immunology, Nuffield Department of Medicine, University of Oxford, Oxford, UK.
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Tamerius J, Viboud C, Shaman J, Chowell G. Impact of School Cycles and Environmental Forcing on the Timing of Pandemic Influenza Activity in Mexican States, May-December 2009. PLoS Comput Biol 2015; 11:e1004337. [PMID: 26291446 PMCID: PMC4546376 DOI: 10.1371/journal.pcbi.1004337] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2014] [Accepted: 05/08/2015] [Indexed: 11/23/2022] Open
Abstract
While a relationship between environmental forcing and influenza transmission has been established in inter-pandemic seasons, the drivers of pandemic influenza remain debated. In particular, school effects may predominate in pandemic seasons marked by an atypical concentration of cases among children. For the 2009 A/H1N1 pandemic, Mexico is a particularly interesting case study due to its broad geographic extent encompassing temperate and tropical regions, well-documented regional variation in the occurrence of pandemic outbreaks, and coincidence of several school breaks during the pandemic period. Here we fit a series of transmission models to daily laboratory-confirmed influenza data in 32 Mexican states using MCMC approaches, considering a meta-population framework or the absence of spatial coupling between states. We use these models to explore the effect of environmental, school-related and travel factors on the generation of spatially-heterogeneous pandemic waves. We find that the spatial structure of the pandemic is best understood by the interplay between regional differences in specific humidity (explaining the occurrence of pandemic activity towards the end of the school term in late May-June 2009 in more humid southeastern states), school vacations (preventing influenza transmission during July-August in all states), and regional differences in residual susceptibility (resulting in large outbreaks in early fall 2009 in central and northern Mexico that had yet to experience fully-developed outbreaks). Our results are in line with the concept that very high levels of specific humidity, as present during summer in southeastern Mexico, favor influenza transmission, and that school cycles are a strong determinant of pandemic wave timing.
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Affiliation(s)
- James Tamerius
- Department of Geographical and Sustainability Sciences, University of Iowa, Iowa City, Iowa, United States of America
| | - Cécile Viboud
- Fogarty International Center, National Institutes of Health, Bethesda, Maryland, United States of America
| | - Jeffrey Shaman
- Environmental Health Sciences, Columbia University, New York, New York, United States of America
| | - Gerardo Chowell
- School of Public Health, Georgia State University, Atlanta, Georgia, United States of America
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Dafilis MP, Frascoli F, McVernon J, Heffernan JM, McCaw JM. Dynamical crises, multistability and the influence of the duration of immunity in a seasonally-forced model of disease transmission. Theor Biol Med Model 2014; 11:43. [PMID: 25280872 PMCID: PMC4200138 DOI: 10.1186/1742-4682-11-43] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2014] [Accepted: 09/20/2014] [Indexed: 12/22/2022] Open
Abstract
BACKGROUND Highly successful strategies to make populations more resilient to infectious diseases, such as childhood vaccinations programs, may nonetheless lead to unpredictable outcomes due to the interplay between seasonal variations in transmission and a population's immune status. METHODS Motivated by the study of diseases such as pertussis we introduce a seasonally-forced susceptible-infectious-recovered model of disease transmission with waning and boosting of immunity. We study the system's dynamical properties using a combination of numerical simulations and bifurcation techniques, paying particular attention to the properties of the initial condition space. RESULTS We find that highly unpredictable behaviour can be triggered by changes in biologically relevant model parameters such as the duration of immunity. In the particular system we analyse--used in the literature to study pertussis dynamics--we identify the presence of an initial-condition landscape containing three coexisting attractors. The system's response to interventions which perturb population immunity (e.g. vaccination "catch-up" campaigns) is therefore difficult to predict. CONCLUSION Given the increasing use of models to inform policy decisions regarding vaccine introduction and scheduling and infectious diseases intervention policy more generally, our findings highlight the importance of thoroughly investigating the dynamical properties of those models to identify key areas of uncertainty. Our findings suggest that the often stated tension between capturing biological complexity and utilising mathematically simple models is perhaps more nuanced than generally suggested. Simple dynamical models, particularly those which include forcing terms, can give rise to incredibly complex behaviour.
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Affiliation(s)
| | | | | | | | - James M McCaw
- Centre for Epidemiology and Biostatistics, Melbourne School of Population and Global Health, The University of Melbourne, Melbourne VIC, Australia.
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