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Evans A, Hart W, Longobardi S, Desikan R, Sher A, Thompson R. Reducing transmission in multiple settings is required to eliminate the risk of major Ebola outbreaks: a mathematical modelling study. J R Soc Interface 2025; 22:20240765. [PMID: 40101777 PMCID: PMC11919492 DOI: 10.1098/rsif.2024.0765] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2024] [Revised: 01/15/2025] [Accepted: 02/26/2025] [Indexed: 03/20/2025] Open
Abstract
The Ebola virus (EV) persists in animal populations, with zoonotic transmission to humans occurring every few months or years. When zoonotic transmission arises, it is important to understand which interventions are most effective at preventing a major outbreak driven by human-to-human transmission. Here, we analyse a mathematical model of EV transmission and calculate the probability of a major outbreak starting from a single introduced case. We consider community, funeral and healthcare facility transmission and conduct sensitivity analyses to explore the effects of non-pharmaceutical interventions (NPIs) that influence these transmission routes. We find that, if the index case is treated in the community, then the elimination of transmission at funerals reduces the probability of a major outbreak substantially (from 0.410 to 0.066 under our baseline model parametrization). However, eliminating the risk of major outbreaks entirely requires combinations of measures that limit transmission in different settings, such as community engagement to promote safe burial practices and implementation of barrier nursing in healthcare facilities. In addition to generating insights into the drivers of Ebola outbreaks, this research provides a modelling framework for assessing the effectiveness of interventions at mitigating outbreaks of other infectious diseases with transmission in multiple settings.
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Affiliation(s)
- Abbie Evans
- Mathematical Institute, University of Oxford, Oxford, UK
| | - William Hart
- Mathematical Institute, University of Oxford, Oxford, UK
| | | | - Rajat Desikan
- Clinical Pharmacology Modelling and Simulation, Development, GSK, Stevenage, UK
| | - Anna Sher
- Clinical Pharmacology Modelling and Simulation, Development, GSK, MA, USA
| | - Robin Thompson
- Mathematical Institute, University of Oxford, Oxford, UK
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Shankar M, Hartner AM, Arnold CRK, Gayawan E, Kang H, Kim JH, Gilani GN, Cori A, Fu H, Jit M, Muloiwa R, Portnoy A, Trotter C, Gaythorpe KAM. How mathematical modelling can inform outbreak response vaccination. BMC Infect Dis 2024; 24:1371. [PMID: 39617902 PMCID: PMC11608489 DOI: 10.1186/s12879-024-10243-0] [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: 09/25/2024] [Accepted: 11/18/2024] [Indexed: 12/13/2024] Open
Abstract
Mathematical models are established tools to assist in outbreak response. They help characterise complex patterns in disease spread, simulate control options to assist public health authorities in decision-making, and longer-term operational and financial planning. In the context of vaccine-preventable diseases (VPDs), vaccines are one of the most-cost effective outbreak response interventions, with the potential to avert significant morbidity and mortality through timely delivery. Models can contribute to the design of vaccine response by investigating the importance of timeliness, identifying high-risk areas, prioritising the use of limited vaccine supply, highlighting surveillance gaps and reporting, and determining the short- and long-term benefits. In this review, we examine how models have been used to inform vaccine response for 10 VPDs, and provide additional insights into the challenges of outbreak response modelling, such as data gaps, key vaccine-specific considerations, and communication between modellers and stakeholders. We illustrate that while models are key to policy-oriented outbreak vaccine response, they can only be as good as the surveillance data that inform them.
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Affiliation(s)
- Manjari Shankar
- Medical Research Council Centre for Global Infectious Disease Analysis, Imperial College London, London, UK.
| | - Anna-Maria Hartner
- Medical Research Council Centre for Global Infectious Disease Analysis, Imperial College London, London, UK
- Centre for Artificial Intelligence in Public Health Research, Robert Koch Institute, Wildau, Germany
| | - Callum R K Arnold
- Center for Infectious Disease Dynamics, Pennsylvania State University, University Park, 16802, PA, USA
| | - Ezra Gayawan
- Department of Statistics, Federal University of Technology, Akure, Nigeria
| | - Hyolim Kang
- Department of Infectious Disease Epidemiology, Faculty of Epidemiology and Population Health, London School of Hygiene & Tropical Medicine, London, UK
| | - Jong-Hoon Kim
- Department of Epidemiology, Public Health, Impact, International Vaccine Institute, Seoul, South Korea
| | - Gemma Nedjati Gilani
- Medical Research Council Centre for Global Infectious Disease Analysis, Imperial College London, London, UK
| | - Anne Cori
- Medical Research Council Centre for Global Infectious Disease Analysis, Imperial College London, London, UK
| | - Han Fu
- Department of Infectious Disease Epidemiology, Faculty of Epidemiology and Population Health, London School of Hygiene & Tropical Medicine, London, UK
| | - Mark Jit
- Department of Infectious Disease Epidemiology, Faculty of Epidemiology and Population Health, London School of Hygiene & Tropical Medicine, London, UK
- School of Public Health, University of Hong Kong, Hong Kong Special Administrative Region, China
| | - Rudzani Muloiwa
- Department of Paediatrics & Child Health, Faculty of Health Sciences, University of Cape Town, Red Cross War Memorial Children's Hospital, Cape Town, South Africa
| | - Allison Portnoy
- Department of Global Health, Boston University School of Public Health, Boston, United States
- Center for Health Decision Science, Harvard T.H. Chan School of Public Health, Boston, United States
| | - Caroline Trotter
- Medical Research Council Centre for Global Infectious Disease Analysis, Imperial College London, London, UK
- Department of Veterinary Medicine and Pathology, University of Cambridge, Cambridge, UK
| | - Katy A M Gaythorpe
- Medical Research Council Centre for Global Infectious Disease Analysis, Imperial College London, London, UK
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Zawadzki M, Montibeller G. A framework for supporting health capability-based planning: Identifying and structuring health capabilities. RISK ANALYSIS : AN OFFICIAL PUBLICATION OF THE SOCIETY FOR RISK ANALYSIS 2023; 43:78-96. [PMID: 36117147 DOI: 10.1111/risa.14014] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
The COVID-19 pandemic has highlighted that health security systems must be redesigned, in a way that they are better prepared and ready to cope with multiple and diverse health threats, from predictable and well-known epidemics to unexpected and challenging pandemics. A powerful way of accomplishing this goal is to focus the planning on health capabilities. This focus may enhance the ability to respond to and recover from health threats and emergencies, while helping to identify the level of resources required to maintain and build up those capabilities that are critical in ensuring the preparedness of health security systems. However, current attempts for defining and organizing health capabilities have some important limitations. First, such attempts were not designed to consider diverse scenarios and multiple health threats. Second, they provide a limited representation of capabilities and lack a systemic perspective. Third, they struggle to identify capability and resource gaps. In this article, we thus propose a new framework for identifying and structuring health capabilities and support health capability planning. The suggested framework has three main potential benefits. First, the framework may help policymakers in planning under high levels of uncertainty, by considering multiple realistic and stressful scenarios. Second, it can provide risk analysts with a more comprehensive representation of health capabilities and their complex relationships. Third, it can support planners in identifying resource and capability gaps. We illustrate the use of the framework in practice considering an outbreak scenario caused by three different health threats (COVID-19, Ebola, and Influenza viruses).
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Affiliation(s)
- Marcelo Zawadzki
- Department of Operational Sciences, Air Force Institute of Technology, Wright-Patterson AFB, OH, USA
- Brazilian Air Force, Governance Office, Brasilia, DF, Brazil
| | - Gilberto Montibeller
- Management Science and Operations Group, School of Business and Economics, Loughborough University, Loughborough, UK
- Center for Risk and Economic Analysis of Threats and Emergencies (CREATE), University of Southern California, Los Angeles, CA, USA
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Kelly JD, Frankfurter RG, Tavs JM, Barrie MB, McGinnis T, Kamara M, Freeman A, Quiwah K, Davidson MC, Dighero-Kemp B, Gichini H, Elliott E, Reilly C, Hensley LE, Lane HC, Weiser SD, Porco TC, Rutherford GW, Richardson ET. Association of Lower Exposure Risk With Paucisymptomatic/Asymptomatic Infection, Less Severe Disease, and Unrecognized Ebola Virus Disease: A Seroepidemiological Study. Open Forum Infect Dis 2022; 9:ofac052. [PMID: 35265726 PMCID: PMC8900924 DOI: 10.1093/ofid/ofac052] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/08/2021] [Accepted: 01/31/2022] [Indexed: 01/12/2023] Open
Abstract
Background It remains unclear if there is a dose-dependent relationship between exposure risk to Ebola virus (EBOV) and severity of illness. Methods From September 2016 to July 2017, we conducted a cross-sectional, community-based study of Ebola virus disease (EVD) cases and household contacts of several transmission chains in Kono District, Sierra Leone. We analyzed 154 quarantined households, comprising both reported EVD cases and their close contacts. We used epidemiological surveys and blood samples to define severity of illness as no infection, pauci-/asymptomatic infection, unrecognized EVD, reported EVD cases who survived, or reported EVD decedents. We determine seropositivity with the Filovirus Animal Nonclinical Group EBOV glycoprotein immunoglobulin G antibody test. We defined levels of exposure risk from 8 questions and considered contact with body fluid as maximum exposure risk. Results Our analysis included 76 reported EVD cases (both decedents and survivors) and 421 close contacts. Among these contacts, 40 were seropositive (22 paucisymptomatic and 18 unrecognized EVD), accounting for 34% of the total 116 EBOV infections. Higher exposure risks were associated with having had EBOV infection (maximum risk: adjusted odds ratio [AOR], 12.1 [95% confidence interval {CI}, 5.8-25.4; trend test: P < .001) and more severe illness (maximum risk: AOR, 25.2 [95% CI, 6.2-102.4]; trend test: P < .001). Conclusions This community-based study of EVD cases and contacts provides epidemiological evidence of a dose-dependent relationship between exposure risk and severity of illness, which may partially explain why pauci-/asymptomatic EBOV infection, less severe disease, and unrecognized EVD occurs.
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Affiliation(s)
- J Daniel Kelly
- Department of Epidemiology and Biostatistics, University of California, San Francisco, California, USA
- Institute for Global Health Sciences, University of California, San Francisco, California, USA
- F. I. Proctor Foundation, University of California, San Francisco, California, USA
- Partners In Health, Freetown, Sierra Leone
| | | | - Jacqueline M Tavs
- F. I. Proctor Foundation, University of California, San Francisco, California, USA
| | - Mohamed Bailor Barrie
- Department of Epidemiology and Biostatistics, University of California, San Francisco, California, USA
- Institute for Global Health Sciences, University of California, San Francisco, California, USA
- Partners In Health, Freetown, Sierra Leone
| | - Timothy McGinnis
- Department of Global Health and Social Medicine, Harvard Medical School, Boston, Massachusetts, USA
| | | | | | | | - Michelle C Davidson
- School of Medicine, University of California, San Francisco, California, USA
| | - Bonnie Dighero-Kemp
- Integrated Research Facility, National Institute of Allergy and Infectious Diseases, Fort Detrick, Maryland, USA
| | - Harrison Gichini
- Integrated Research Facility, National Institute of Allergy and Infectious Diseases, Fort Detrick, Maryland, USA
| | - Elizabeth Elliott
- Integrated Research Facility, National Institute of Allergy and Infectious Diseases, Fort Detrick, Maryland, USA
| | - Cavan Reilly
- Division of Biostatistics, University of Minnesota, Minneapolis, Minnesota, USA
| | - Lisa E Hensley
- Integrated Research Facility, National Institute of Allergy and Infectious Diseases, Fort Detrick, Maryland, USA
| | - H Clifford Lane
- Integrated Research Facility, National Institute of Allergy and Infectious Diseases, Fort Detrick, Maryland, USA
| | - Sheri D Weiser
- Division of HIV, Infectious Disease, and Global Medicine, Department of Medicine, University of California, San Francisco, San Francisco, California, USA
| | - Travis C Porco
- Department of Epidemiology and Biostatistics, University of California, San Francisco, California, USA
- F. I. Proctor Foundation, University of California, San Francisco, California, USA
| | - George W Rutherford
- Department of Epidemiology and Biostatistics, University of California, San Francisco, California, USA
- Institute for Global Health Sciences, University of California, San Francisco, California, USA
| | - Eugene T Richardson
- Partners In Health, Freetown, Sierra Leone
- Department of Global Health and Social Medicine, Harvard Medical School, Boston, Massachusetts, USA
- Department of Medicine, Brigham and Women’s Hospital, Boston, Massachusetts, USA
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5
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Simonsen LC, Slaba TC. Improving astronaut cancer risk assessment from space radiation with an ensemble model framework. LIFE SCIENCES IN SPACE RESEARCH 2021; 31:14-28. [PMID: 34689946 DOI: 10.1016/j.lssr.2021.07.002] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/29/2021] [Revised: 07/06/2021] [Accepted: 07/09/2021] [Indexed: 06/13/2023]
Abstract
A new approach to NASA space radiation risk modeling has successfully extended the current NASA probabilistic cancer risk model to an ensemble framework able to consider sub-model parameter uncertainty as well as model-form uncertainty associated with differing theoretical or empirical formalisms. Ensemble methodologies are already widely used in weather prediction, modeling of infectious disease outbreaks, and certain terrestrial radiation protection applications to better understand how uncertainty may influence risk decision-making. Applying ensemble methodologies to space radiation risk projections offers the potential to efficiently incorporate emerging research results, allow for the incorporation of future models, improve uncertainty quantification, and reduce the impact of subjective bias. Moreover, risk forecasting across an ensemble of multiple predictive models can provide stakeholders additional information on risk acceptance if current health/medical standards cannot be met for future space exploration missions, such as human missions to Mars. In this work, ensemble risk projections implementing multiple sub-models of radiation quality, dose and dose-rate effectiveness factors, excess risk, and latency are presented. Initial consensus methods for ensemble model weights and correlations to account for individual model bias are discussed. In these analyses, the ensemble forecast compares well to results from NASA's current operational cancer risk projection model used to assess permissible mission durations for astronauts. However, a large range of projected risk values are obtained at the upper 95th confidence level where models must extrapolate beyond available biological data sets. Closer agreement is seen at the median ± one sigma due to the inherent similarities in available models. Identification of potential new models, epidemiological data, and methods for statistical correlation between predictive ensemble members are discussed. Alternate ways of communicating risk and acceptable uncertainty with respect to NASA's current permissible exposure limits are explored.
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Affiliation(s)
| | - Tony C Slaba
- NASA Langley Research Center, Hampton, VA, United States.
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Richardson ET, Malik MM, Darity WA, Mullen AK, Morse ME, Malik M, Maybank A, Bassett MT, Farmer PE, Worden L, Jones JH. Reparations for Black American descendants of persons enslaved in the U.S. and their potential impact on SARS-CoV-2 transmission. Soc Sci Med 2021; 276:113741. [PMID: 33640157 PMCID: PMC7871902 DOI: 10.1016/j.socscimed.2021.113741] [Citation(s) in RCA: 23] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Revised: 12/17/2020] [Accepted: 01/31/2021] [Indexed: 12/15/2022]
Abstract
BACKGROUND In the United States, Black Americans are suffering from a significantly disproportionate incidence of COVID-19. Going beyond mere epidemiological tallying, the potential for racial-justice interventions, including reparations payments, to ameliorate these disparities has not been adequately explored. METHODS We compared the COVID-19 time-varying Rt curves of relatively disparate polities in terms of social equity (South Korea vs. Louisiana). Next, we considered a range of reproductive ratios to back-calculate the transmission rates βi→j for 4 cells of the simplified next-generation matrix (from which R0 is calculated for structured models) for the outbreak in Louisiana. Lastly, we considered the potential structural effects monetary payments as reparations for Black American descendants of persons enslaved in the U.S. would have had on pre-intervention βi→j and consequently R0. RESULTS Once their respective epidemics begin to propagate, Louisiana displays Rt values with an absolute difference of 1.3-2.5 compared to South Korea. It also takes Louisiana more than twice as long to bring Rt below 1. Reasoning through the consequences of increased equity via matrix transmission models, we demonstrate how the benefits of a successful reparations program (reflected in the ratio βb→b/βw→w) could reduce R0 by 31-68%. DISCUSSION While there are compelling moral and historical arguments for racial-injustice interventions such as reparations, our study considers potential health benefits in the form of reduced SARS-CoV-2 transmission risk. A restitutive program targeted towards Black individuals would not only decrease COVID-19 risk for recipients of the wealth redistribution; the mitigating effects would also be distributed across racial groups, benefiting the population at large.
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Affiliation(s)
- Eugene T Richardson
- Department of Medicine, Brigham and Women's Hospital, Boston, MA, USA; Department of Global Health and Social Medicine, Harvard Medical School, Boston, MA, USA.
| | - Momin M Malik
- Berkman Klein Center for Internet & Society, Harvard University, Cambridge, MA, USA
| | - William A Darity
- Sanford School of Public Policy, Duke University, Durham, NC, USA
| | | | - Michelle E Morse
- Department of Medicine, Brigham and Women's Hospital, Boston, MA, USA; Department of Global Health and Social Medicine, Harvard Medical School, Boston, MA, USA
| | - Maya Malik
- McGill University, School of Social Work, Montreal, Quebec, Canada
| | | | - Mary T Bassett
- François-Xavier Bagnoud (FXB) Center for Health and Human Rights, Harvard T.H. Chan School of Public Health, Boston, MA, USA
| | - Paul E Farmer
- Department of Medicine, Brigham and Women's Hospital, Boston, MA, USA; Department of Global Health and Social Medicine, Harvard Medical School, Boston, MA, USA
| | - Lee Worden
- Proctor Foundation, University of California, San Francisco, USA
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Kelly JD, Wannier SR, Sinai C, Moe CA, Hoff NA, Blumberg S, Selo B, Mossoko M, Chowell-Puente G, Jones JH, Okitolonda-Wemakoy E, Rutherford GW, Lietman TM, Muyembe-Tamfum JJ, Rimoin AW, Porco TC, Richardson ET. The Impact of Different Types of Violence on Ebola Virus Transmission During the 2018-2020 Outbreak in the Democratic Republic of the Congo. J Infect Dis 2020; 222:2021-2029. [PMID: 32255180 PMCID: PMC7661768 DOI: 10.1093/infdis/jiaa163] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2019] [Accepted: 04/05/2020] [Indexed: 11/30/2022] Open
Abstract
BACKGROUND Our understanding of the different effects of targeted versus nontargeted violence on Ebola virus (EBOV) transmission in Democratic Republic of the Congo (DRC) is limited. METHODS We used time-series data of case counts to compare individuals in Ebola-affected health zones in DRC, April 2018-August 2019. Exposure was number of violent events per health zone, categorized into Ebola-targeted or Ebola-untargeted, and into civilian-induced, (para)military/political, or protests. Outcome was estimated daily reproduction number (Rt) by health zone. We fit linear time-series regression to model the relationship. RESULTS Average Rt was 1.06 (95% confidence interval [CI], 1.02-1.11). A mean of 2.92 violent events resulted in cumulative absolute increase in Rt of 0.10 (95% CI, .05-.15). More violent events increased EBOV transmission (P = .03). Considering violent events in the 95th percentile over a 21-day interval and its relative impact on Rt, Ebola-targeted events corresponded to Rt of 1.52 (95% CI, 1.30-1.74), while civilian-induced events corresponded to Rt of 1.43 (95% CI, 1.21-1.35). Untargeted events corresponded to Rt of 1.18 (95% CI, 1.02-1.35); among these, militia/political or ville morte events increased transmission. CONCLUSIONS Ebola-targeted violence, primarily driven by civilian-induced events, had the largest impact on EBOV transmission.
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Affiliation(s)
- John Daniel Kelly
- Department of Epidemiology and Biostatistics, School of Medicine, University of California San Francisco, San Francisco, California, USA
- F. I. Proctor Foundation, University of California San Francisco, San Francisco, California, USA
- Institute of Global Health Sciences, University of California, San Francisco, San Francisco, CA, USA
| | - Sarah Rae Wannier
- Department of Epidemiology and Biostatistics, School of Medicine, University of California San Francisco, San Francisco, California, USA
- F. I. Proctor Foundation, University of California San Francisco, San Francisco, California, USA
| | - Cyrus Sinai
- Department of Geography, University of North Carolina, Chapel Hill, North Carolina, USA
| | - Caitlin A Moe
- Department of Epidemiology, School of Public Health, University of Washington, Seattle, Washington, USA
- Firearm Injury Policy and Research Program, Harborview Injury Prevention and Research Center, University of Washington, Seattle, Washington, USA
| | - Nicole A Hoff
- School of Public Health, University of California Los Angeles, Los Angeles, California, USA
| | - Seth Blumberg
- F. I. Proctor Foundation, University of California San Francisco, San Francisco, California, USA
| | - Bernice Selo
- Ministry of Health, Kinshasa, Democratic Republic of Congo
| | | | - Gerardo Chowell-Puente
- Department of Population Health Sciences, School of Public Health, Georgia State University, Atlanta, Georgia, USA
| | - James Holland Jones
- Department of Earth Systems Science, Stanford University, Stanford, California, USA
| | | | - George W Rutherford
- Department of Epidemiology and Biostatistics, School of Medicine, University of California San Francisco, San Francisco, California, USA
- Institute of Global Health Sciences, University of California, San Francisco, San Francisco, CA, USA
| | - Thomas M Lietman
- Department of Epidemiology and Biostatistics, School of Medicine, University of California San Francisco, San Francisco, California, USA
| | | | - Anne W Rimoin
- School of Public Health, University of California Los Angeles, Los Angeles, California, USA
| | - Travis C Porco
- Department of Epidemiology and Biostatistics, School of Medicine, University of California San Francisco, San Francisco, California, USA
- F. I. Proctor Foundation, University of California San Francisco, San Francisco, California, USA
| | - Eugene T Richardson
- Harvard Medical School, Boston, Massachusetts, USA
- Brigham and Women’s Hospital, Boston, Massachusetts, USA
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Rivers C, Pollett S, Viboud C. The opportunities and challenges of an Ebola modeling research coordination group. PLoS Negl Trop Dis 2020; 14:e0008158. [PMID: 32673319 PMCID: PMC7365411 DOI: 10.1371/journal.pntd.0008158] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023] Open
Affiliation(s)
- Caitlin Rivers
- Johns Hopkins Center for Health Security, Maryland, United States of America
| | - Simon Pollett
- Viral Diseases Branch, Walter Reed Army Institute of Research, Marlyand, United States of America
- Uniformed Services University of the Health Sciences, Maryland, United States of America
- Marie Bashir Institute, University of Sydney, New South Wales, Australia
| | - Cecile Viboud
- National Institutes of Health, Maryland, United States of America
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Richardson ET, Malik MM, Darity WA, Mullen AK, Malik M, Benton A, Bassett MT, Farmer PE, Worden L, Jones JH. Reparations for Black American Descendants of Persons Enslaved in the U.S. and Their Estimated Impact on SARS-CoV-2 Transmission. MEDRXIV : THE PREPRINT SERVER FOR HEALTH SCIENCES 2020:2020.06.04.20112011. [PMID: 32577701 PMCID: PMC7302310 DOI: 10.1101/2020.06.04.20112011] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Background In the United States, Black Americans are suffering from significantly disproportionate incidence and mortality rates of COVID-19. The potential for racial-justice interventions, including reparations payments, to ameliorate these disparities has not been adequately explored. Methods We compared the COVID-19 time-varying R t curves of relatively disparate polities in terms of social equity (South Korea vs. Louisiana). Next, we considered a range of reproductive ratios to back-calculate the transmission rates β i→j for 4 cells of the simplified next-generation matrix (from which R 0 is calculated for structured models) for the outbreak in Louisiana. Lastly, we modeled the effect that monetary payments as reparations for Black American descendants of persons enslaved in the U.S. would have had on pre-intervention β i→j . Results Once their respective epidemics begin to propagate, Louisiana displays R t values with an absolute difference of 1.3 to 2.5 compared to South Korea. It also takes Louisiana more than twice as long to bring R t below 1. We estimate that increased equity in transmission consistent with the benefits of a successful reparations program (reflected in the ratio β b→b / β w→w ) could reduce R 0 by 31 to 68%. Discussion While there are compelling moral and historical arguments for racial injustice interventions such as reparations, our study describes potential health benefits in the form of reduced SARS-CoV-2 transmission risk. As we demonstrate, a restitutive program targeted towards Black individuals would not only decrease COVID-19 risk for recipients of the wealth redistribution; the mitigating effects would be distributed across racial groups, benefitting the population at large.
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10
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Impact of prophylactic vaccination strategies on Ebola virus transmission: A modeling analysis. PLoS One 2020; 15:e0230406. [PMID: 32339195 PMCID: PMC7185698 DOI: 10.1371/journal.pone.0230406] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/19/2019] [Accepted: 03/01/2020] [Indexed: 01/18/2023] Open
Abstract
Ebola epidemics constitute serious public health emergencies. Multiple vaccines are under development to prevent these epidemics and avoid the associated morbidity and mortality. Assessing the potential impact of these vaccines on morbidity and mortality of Ebola is essential for devising prevention strategies. A mean-field compartmental stochastic model was developed for this purpose and validated by simulating the 2014 Sierra Leone epidemic. We assessed the impacts of prophylactic vaccination of healthcare workers (HCW) both alone and in combination with the vaccination of the general population (entire susceptible population other than HCW). The model simulated 8,706 (95% confidence intervals [CI]: 478–21,942) cases and 3,575 (95%CI: 179–9,031) deaths in Sierra Leone, in line with WHO-reported statistics for the 2014 epidemic (8,704 cases and 3,587 deaths). Relative to this base case, the model then estimated that prophylactic vaccination of only 10% of HCW will avert 12% (95% CI: 6%-14%) of overall cases and deaths, while vaccination of 30% of HCW will avert 34% of overall cases (95% CI: 30%-64%) and deaths (95% CI: 30%-65%). Prophylactic vaccination of 1% and 5% of the general population in addition to vaccinating 30% of HCW was estimated to result in reduction in cases by 44% (95% CI: 39%-61%) and 72% (95% CI: 68%-84%) respectively, and deaths by 45% (95% CI: 40%-61%) and 74% (95% CI: 70%-85%) respectively. Prophylactic vaccination of even small proportions of HCW is estimated to significantly reduce incidence of Ebola and associated mortality. The effect is greatly enhanced by the additional vaccination even of small percentages of the general population. These findings could be used to inform the planning of prevention strategies.
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Thompson RN, Brooks-Pollock E. Detection, forecasting and control of infectious disease epidemics: modelling outbreaks in humans, animals and plants. Philos Trans R Soc Lond B Biol Sci 2020; 374:20190038. [PMID: 31056051 DOI: 10.1098/rstb.2019.0038] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Abstract
The 1918 influenza pandemic is one of the most devastating infectious disease epidemics on record, having caused approximately 50 million deaths worldwide. Control measures, including prohibiting non-essential gatherings as well as closing cinemas and music halls, were applied with varying success and limited knowledge of transmission dynamics. One hundred years later, following developments in the field of mathematical epidemiology, models are increasingly used to guide decision-making and devise appropriate interventions that mitigate the impacts of epidemics. Epidemiological models have been used as decision-making tools during outbreaks in human, animal and plant populations. However, as the subject has developed, human, animal and plant disease modelling have diverged. Approaches have been developed independently for pathogens of each host type, often despite similarities between the models used in these complementary fields. With the increased importance of a One Health approach that unifies human, animal and plant health, we argue that more inter-disciplinary collaboration would enhance each of the related disciplines. This pair of theme issues presents research articles written by human, animal and plant disease modellers. In this introductory article, we compare the questions pertinent to, and approaches used by, epidemiological modellers of human, animal and plant pathogens, and summarize the articles in these theme issues. We encourage future collaboration that transcends disciplinary boundaries and links the closely related areas of human, animal and plant disease epidemic modelling. This article is part of the theme issue 'Modelling infectious disease outbreaks in humans, animals and plants: approaches and important themes'. This issue is linked with the subsequent theme issue 'Modelling infectious disease outbreaks in humans, animals and plants: epidemic forecasting and control'.
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Affiliation(s)
- Robin N Thompson
- 1 Mathematical Institute, University of Oxford , Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG , UK.,2 Department of Zoology, University of Oxford , Peter Medawar Building, South Parks Road, Oxford OX1 3SY , UK.,3 Christ Church, University of Oxford , St Aldates, Oxford OX1 1DP , UK
| | - Ellen Brooks-Pollock
- 4 Bristol Veterinary School, University of Bristol , Langford BS40 5DU , UK.,5 National Institute for Health Research, Health Protection Research Unit in Evaluation of Interventions, Bristol Medical School , Bristol BS8 2BN , UK
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12
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Shears P, Garavan C. The 2018/19 Ebola epidemic the Democratic Republic of the Congo (DRC): epidemiology, outbreak control, and conflict. Infect Prev Pract 2020; 2:100038. [PMID: 34368690 PMCID: PMC8336035 DOI: 10.1016/j.infpip.2020.100038] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/14/2020] [Accepted: 01/15/2020] [Indexed: 11/28/2022] Open
Abstract
The Democratic Republic of Congo (DRC) (formerly Zaire) was the location of the first Ebola outbreak, in 1976, and since then there have been a total of ten outbreaks in different parts of the country. The current outbreak, the first in eastern DRC (North Kivu and Ituri provinces), began in July 2018, and by December 2019, there had been 3262 cases and 2232 deaths. Within weeks of the first reported cases, the World Health Organisation (WHO) and the DRC Ministry of Health (MOH) initiated a major response programme, with laboratory support, international agencies providing personnel, and material resources. Unlike previous Ebola outbreaks, including the west Africa epidemic, a proven vaccine, and trial therapeutic agents have been available as part of the outbreak response. Two therapeutic agents, mAb114 and REGN-EB3, both monoclonal antibody derived, have shown case fatality rates (CFR) of around 30%, compared to the overall of 66%. Despite these positive interventions, the outbreak has continued for eighteen months. Underlying the outbreak response has been a high number of violent incidents by local militias, and community mistrust and lack of involvement that has hampered many aspects of the response programme. As a result, many cases are not reported early and not transferred to treatment centres, deaths and increased transmission occur in the community, and the response programme is reaching only a proportion of the cases. New strategies to improve community participation, and integrate the Ebola response into the existing health structure are planned to improve the programme effectiveness.
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Affiliation(s)
- Paul Shears
- Wirral University Teaching Hospital, Wirral, Merseyside UK
| | - Carrie Garavan
- WHO Ebola Case Management Team, Butembo DRC & Medicines Sans Frontiers' Ebola Emergency Response Team DRC, Ireland
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13
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Thompson RN, Stockwin JE, van Gaalen RD, Polonsky JA, Kamvar ZN, Demarsh PA, Dahlqwist E, Li S, Miguel E, Jombart T, Lessler J, Cauchemez S, Cori A. Improved inference of time-varying reproduction numbers during infectious disease outbreaks. Epidemics 2019; 29:100356. [PMID: 31624039 PMCID: PMC7105007 DOI: 10.1016/j.epidem.2019.100356] [Citation(s) in RCA: 271] [Impact Index Per Article: 45.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2019] [Revised: 07/15/2019] [Accepted: 07/16/2019] [Indexed: 02/07/2023] Open
Abstract
Accurate estimation of the parameters characterising infectious disease transmission is vital for optimising control interventions during epidemics. A valuable metric for assessing the current threat posed by an outbreak is the time-dependent reproduction number, i.e. the expected number of secondary cases caused by each infected individual. This quantity can be estimated using data on the numbers of observed new cases at successive times during an epidemic and the distribution of the serial interval (the time between symptomatic cases in a transmission chain). Some methods for estimating the reproduction number rely on pre-existing estimates of the serial interval distribution and assume that the entire outbreak is driven by local transmission. Here we show that accurate inference of current transmissibility, and the uncertainty associated with this estimate, requires: (i) up-to-date observations of the serial interval to be included, and; (ii) cases arising from local transmission to be distinguished from those imported from elsewhere. We demonstrate how pathogen transmissibility can be inferred appropriately using datasets from outbreaks of H1N1 influenza, Ebola virus disease and Middle-East Respiratory Syndrome. We present a tool for estimating the reproduction number in real-time during infectious disease outbreaks accurately, which is available as an R software package (EpiEstim 2.2). It is also accessible as an interactive, user-friendly online interface (EpiEstim App), permitting its use by non-specialists. Our tool is easy to apply for assessing the transmission potential, and hence informing control, during future outbreaks of a wide range of invading pathogens.
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Affiliation(s)
- R N Thompson
- Department of Zoology, University of Oxford, South Parks Road, Oxford OX1 3PS, UK; Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK; Christ Church, University of Oxford, St Aldates, Oxford OX1 1DP, UK.
| | - J E Stockwin
- Lady Margaret Hall, University of Oxford, Norham Gardens, Oxford OX2 6QA, UK
| | - R D van Gaalen
- Centre for Infectious Disease Control, National Institute for Public Health and the Environment (RIVM), 3720 BA Bilthoven, the Netherlands
| | - J A Polonsky
- World Health Organization, Avenue Appia, Geneva 1202, Switzerland; Faculty of Medicine, University of Geneva, 1 Rue Michel-Servet, Geneva 1211, Switzerland
| | - Z N Kamvar
- MRC Centre for Global Infectious Disease Analysis, Imperial College London, Faculty of Medicine, London W2 1PG, UK
| | - P A Demarsh
- The Surveillance Lab, McGill University, 1140 Pine Avenue West, Montreal H3A 1A3, Canada; Centre for Foodborne, Environmental and Zoonotic Infectious Diseases, Public Health Agency of Canada, 130 Colonnade Road, Ottawa, Ontario, K1A 0K9, Canada
| | - E Dahlqwist
- Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, 171 77 Stockholm, Sweden
| | - S Li
- Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, 171 77 Stockholm, Sweden
| | - E Miguel
- MIVEGEC, IRD, University of Montpellier, CNRS, Montpellier, France
| | - T Jombart
- MRC Centre for Global Infectious Disease Analysis, Imperial College London, Faculty of Medicine, London W2 1PG, UK; Faculty of Epidemiology and Population Health, London School of Hygiene and Tropical Medicine, London WC1E 7HT, UK
| | - J Lessler
- Department of Epidemiology, Johns Hopkins Bloomberg School of Public Health, Baltimore, MD, 21205, USA
| | - S Cauchemez
- Mathematical Modelling of Infectious Diseases Unit, Institut Pasteur, UMR2000, CNRS, Paris 75015, France
| | - A Cori
- MRC Centre for Global Infectious Disease Analysis, Imperial College London, Faculty of Medicine, London W2 1PG, UK
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14
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Thompson RN, Stockwin JE, van Gaalen RD, Polonsky JA, Kamvar ZN, Demarsh PA, Dahlqwist E, Li S, Miguel E, Jombart T, Lessler J, Cauchemez S, Cori A. Improved inference of time-varying reproduction numbers during infectious disease outbreaks. Epidemics 2019. [PMID: 31624039 DOI: 10.5281/zenodo.3685977] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/07/2023] Open
Abstract
Accurate estimation of the parameters characterising infectious disease transmission is vital for optimising control interventions during epidemics. A valuable metric for assessing the current threat posed by an outbreak is the time-dependent reproduction number, i.e. the expected number of secondary cases caused by each infected individual. This quantity can be estimated using data on the numbers of observed new cases at successive times during an epidemic and the distribution of the serial interval (the time between symptomatic cases in a transmission chain). Some methods for estimating the reproduction number rely on pre-existing estimates of the serial interval distribution and assume that the entire outbreak is driven by local transmission. Here we show that accurate inference of current transmissibility, and the uncertainty associated with this estimate, requires: (i) up-to-date observations of the serial interval to be included, and; (ii) cases arising from local transmission to be distinguished from those imported from elsewhere. We demonstrate how pathogen transmissibility can be inferred appropriately using datasets from outbreaks of H1N1 influenza, Ebola virus disease and Middle-East Respiratory Syndrome. We present a tool for estimating the reproduction number in real-time during infectious disease outbreaks accurately, which is available as an R software package (EpiEstim 2.2). It is also accessible as an interactive, user-friendly online interface (EpiEstim App), permitting its use by non-specialists. Our tool is easy to apply for assessing the transmission potential, and hence informing control, during future outbreaks of a wide range of invading pathogens.
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Affiliation(s)
- R N Thompson
- Department of Zoology, University of Oxford, South Parks Road, Oxford OX1 3PS, UK; Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK; Christ Church, University of Oxford, St Aldates, Oxford OX1 1DP, UK.
| | - J E Stockwin
- Lady Margaret Hall, University of Oxford, Norham Gardens, Oxford OX2 6QA, UK
| | - R D van Gaalen
- Centre for Infectious Disease Control, National Institute for Public Health and the Environment (RIVM), 3720 BA Bilthoven, the Netherlands
| | - J A Polonsky
- World Health Organization, Avenue Appia, Geneva 1202, Switzerland; Faculty of Medicine, University of Geneva, 1 Rue Michel-Servet, Geneva 1211, Switzerland
| | - Z N Kamvar
- MRC Centre for Global Infectious Disease Analysis, Imperial College London, Faculty of Medicine, London W2 1PG, UK
| | - P A Demarsh
- The Surveillance Lab, McGill University, 1140 Pine Avenue West, Montreal H3A 1A3, Canada; Centre for Foodborne, Environmental and Zoonotic Infectious Diseases, Public Health Agency of Canada, 130 Colonnade Road, Ottawa, Ontario, K1A 0K9, Canada
| | - E Dahlqwist
- Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, 171 77 Stockholm, Sweden
| | - S Li
- Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, 171 77 Stockholm, Sweden
| | - E Miguel
- MIVEGEC, IRD, University of Montpellier, CNRS, Montpellier, France
| | - T Jombart
- MRC Centre for Global Infectious Disease Analysis, Imperial College London, Faculty of Medicine, London W2 1PG, UK; Faculty of Epidemiology and Population Health, London School of Hygiene and Tropical Medicine, London WC1E 7HT, UK
| | - J Lessler
- Department of Epidemiology, Johns Hopkins Bloomberg School of Public Health, Baltimore, MD, 21205, USA
| | - S Cauchemez
- Mathematical Modelling of Infectious Diseases Unit, Institut Pasteur, UMR2000, CNRS, Paris 75015, France
| | - A Cori
- MRC Centre for Global Infectious Disease Analysis, Imperial College London, Faculty of Medicine, London W2 1PG, UK
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15
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Measles transmission during a large outbreak in California. Epidemics 2019; 30:100375. [PMID: 31735584 PMCID: PMC7211428 DOI: 10.1016/j.epidem.2019.100375] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2019] [Revised: 10/26/2019] [Accepted: 10/29/2019] [Indexed: 02/07/2023] Open
Abstract
A large measles outbreak in 2014–2015, linked to Disneyland theme parks, attracted international attention, and led to changes in California vaccine policy. We use dates of symptom onset and known epidemic links for California cases in this outbreak to estimate time-varying transmission in the outbreak, and to estimate generation membership of cases probabilistically. We find that transmission declined significantly during the course of the outbreak (p = 0.012), despite also finding that estimates of transmission rate by day or by generation can overestimate temporal decline. We additionally find that the outbreak size and duration alone are sufficient in this case to distinguish temporal decline from time-invariant transmission (p = 0.014). As use of a single large outbreak can lead to underestimates of immunity, however, we urge caution in interpretation of quantities estimated from this outbreak alone. Further research is needed to distinguish causes of temporal decline in transmission rates.
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16
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Modelling microbial infection to address global health challenges. Nat Microbiol 2019; 4:1612-1619. [PMID: 31541212 PMCID: PMC6800015 DOI: 10.1038/s41564-019-0565-8] [Citation(s) in RCA: 26] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2018] [Accepted: 08/15/2019] [Indexed: 12/20/2022]
Abstract
The continued growth of the world’s population and increased interconnectivity heighten the risk that infectious diseases pose for human health worldwide. Epidemiological modelling is a tool that can be used to mitigate this risk by predicting disease spread or quantifying the impact of different intervention strategies on disease transmission dynamics. We illustrate how four decades of methodological advances and improved data quality have facilitated the contribution of modelling to address global health challenges, exemplified by models for the HIV crisis, emerging pathogens and pandemic preparedness. Throughout, we discuss the importance of designing a model that is appropriate to the research question and the available data. We highlight pitfalls that can arise in model development, validation and interpretation. Close collaboration between empiricists and modellers continues to improve the accuracy of predictions and the optimization of models for public health decision-making.
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17
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Wannier SR, Worden L, Hoff NA, Amezcua E, Selo B, Sinai C, Mossoko M, Njoloko B, Okitolonda-Wemakoy E, Mbala-Kingebeni P, Ahuka-Mundeke S, Muyembe-Tamfum JJ, Richardson ET, Rutherford GW, Jones JH, Lietman TM, Rimoin AW, Porco TC, Kelly JD. Estimating the impact of violent events on transmission in Ebola virus disease outbreak, Democratic Republic of the Congo, 2018-2019. Epidemics 2019; 28:100353. [PMID: 31378584 PMCID: PMC7363034 DOI: 10.1016/j.epidem.2019.100353] [Citation(s) in RCA: 22] [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: 01/29/2019] [Revised: 06/22/2019] [Accepted: 07/09/2019] [Indexed: 11/18/2022] Open
Abstract
INTRODUCTION As of April 2019, the current Ebola virus disease (EVD) outbreak in the Democratic Republic of the Congo (DRC) is occurring in a longstanding conflict zone and has become the second largest EVD outbreak in history. It is suspected that after violent events occur, EVD transmission will increase; however, empirical studies to understand the impact of violence on transmission are lacking. Here, we use spatial and temporal trends of EVD case counts to compare transmission rates between health zones that have versus have not experienced recent violent events during the outbreak. METHODS We collected daily EVD case counts from DRC Ministry of Health. A time-varying indicator of recent violence in each health zone was derived from events documented in the WHO situation reports. We used the Wallinga-Teunis technique to estimate the reproduction number R for each case by day per zone in the 2018-2019 outbreak. We fit an exponentially decaying curve to estimates of R overall and by health zone, for comparison to past outbreaks. RESULTS As of 16 April 2019, the mean overall R for the entire outbreak was 1.11. We found evidence of an increase in the estimated transmission rates in health zones with recently reported violent events versus those without (p = 0.008). The average R was estimated as between 0.61 and 0.86 in regions not affected by recent violent events, and between 1.01 and 1.07 in zones affected by violent events within the last 21 days, leading to an increase in R between 0.17 and 0.53. Within zones with recent violent events, the mean estimated quenching rate was lower than for all past outbreaks except the 2013-2016 West African outbreak. CONCLUSION The difference in the estimated transmission rates between zones affected by recent violent events suggests that violent events are contributing to increased transmission and the ongoing nature of this outbreak.
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Affiliation(s)
- S Rae Wannier
- Francis I. Proctor Foundation for Research in Ophthalmology, San Francisco, University of California, CA, USA; Department of Epidemiology and Biostatistics, School of Medicine, University of California, San Francisco, San Francisco, CA, USA
| | - Lee Worden
- Francis I. Proctor Foundation for Research in Ophthalmology, San Francisco, University of California, CA, USA
| | - Nicole A Hoff
- Department of Epidemiology, School of Public Health University of California, Los Angeles, CA, USA
| | - Eduardo Amezcua
- Department of Epidemiology and Biostatistics, School of Medicine, University of California, San Francisco, San Francisco, CA, USA
| | - Bernice Selo
- Ministry of Health, Kinshasa, Democratic Republic of Congo
| | - Cyrus Sinai
- Department of Geography at University of North Carolina, Chapel Hill, NC, USA
| | | | - Bathe Njoloko
- Ministry of Health, Kinshasa, Democratic Republic of Congo
| | | | | | - Steve Ahuka-Mundeke
- Insitut National de Recherche Biomedicale, Kinshasa, Democratic Republic of Congo
| | | | | | - George W Rutherford
- Francis I. Proctor Foundation for Research in Ophthalmology, San Francisco, University of California, CA, USA
| | - James H Jones
- Department of Earth System Science, Stanford University, Stanford, CA, USA; Woods Institute for the Environment, Stanford University, Stanford, CA, USA
| | - Thomas M Lietman
- Francis I. Proctor Foundation for Research in Ophthalmology, San Francisco, University of California, CA, USA; Department of Epidemiology and Biostatistics, School of Medicine, University of California, San Francisco, San Francisco, CA, USA; Department of Ophthalmology, School of Medicine, University of California, San Francisco, San Francisco, CA, USA
| | - Anne W Rimoin
- Department of Epidemiology, School of Public Health University of California, Los Angeles, CA, USA
| | - Travis C Porco
- Francis I. Proctor Foundation for Research in Ophthalmology, San Francisco, University of California, CA, USA; Department of Epidemiology and Biostatistics, School of Medicine, University of California, San Francisco, San Francisco, CA, USA; Department of Ophthalmology, School of Medicine, University of California, San Francisco, San Francisco, CA, USA
| | - J Daniel Kelly
- Francis I. Proctor Foundation for Research in Ophthalmology, San Francisco, University of California, CA, USA; Department of Epidemiology and Biostatistics, School of Medicine, University of California, San Francisco, San Francisco, CA, USA.
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18
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Kelly JD, Park J, Harrigan RJ, Hoff NA, Lee SD, Wannier R, Selo B, Mossoko M, Njoloko B, Okitolonda-Wemakoy E, Mbala-Kingebeni P, Rutherford GW, Smith TB, Ahuka-Mundeke S, Muyembe-Tamfum JJ, Rimoin AW, Schoenberg FP. Real-time predictions of the 2018-2019 Ebola virus disease outbreak in the Democratic Republic of the Congo using Hawkes point process models. Epidemics 2019; 28:100354. [PMID: 31395373 PMCID: PMC7358183 DOI: 10.1016/j.epidem.2019.100354] [Citation(s) in RCA: 30] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2019] [Revised: 07/11/2019] [Accepted: 07/11/2019] [Indexed: 12/17/2022] Open
Abstract
As of June 16, 2019, an Ebola virus disease (EVD) outbreak has led to 2136 reported cases in the northeastern region of the Democratic Republic of the Congo (DRC). As this outbreak continues to threaten the lives and livelihoods of people already suffering from civil strife and armed conflict, relatively simple mathematical models and their short-term predictions have the potential to inform Ebola response efforts in real time. We applied recently developed non-parametrically estimated Hawkes point processes to model the expected cumulative case count using daily case counts from May 3, 2018, to June 16, 2019, initially reported by the Ministry of Health of DRC and later confirmed in World Health Organization situation reports. We generated probabilistic estimates of the ongoing EVD outbreak in DRC extending both before and after June 16, 2019, and evaluated their accuracy by comparing forecasted vs. actual outbreak sizes, out-of-sample log-likelihood scores and the error per day in the median forecast. The median estimated outbreak sizes for the prospective thee-, six-, and nine-week projections made using data up to June 16, 2019, were, respectively, 2317 (95% PI: 2222, 2464); 2440 (95% PI: 2250, 2790); and 2544 (95% PI: 2273, 3205). The nine-week projection experienced some degradation with a daily error in the median forecast of 6.73 cases, while the six- and three-week projections were more reliable, with corresponding errors of 4.96 and 4.85 cases per day, respectively. Our findings suggest the Hawkes point process may serve as an easily-applied statistical model to predict EVD outbreak trajectories in near real-time to better inform decision-making and resource allocation during Ebola response efforts.
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Affiliation(s)
- J Daniel Kelly
- Department of Epidemiology and Biostatistics, University of California, San Francisco, CA, USA; F.I. Proctor Foundation, University of California, San Francisco, CA USA.
| | - Junhyung Park
- Department of Statistics, University of California, Los Angeles, CA, USA
| | - Ryan J Harrigan
- Center for Tropical Research, Institute of the Environment and Sustainability, University of California, Los Angeles, CA, USA
| | - Nicole A Hoff
- Department of Epidemiology, University of California, Los Angeles, CA, USA
| | - Sarita D Lee
- Department of Statistics, University of California, Los Angeles, CA, USA
| | - Rae Wannier
- Department of Epidemiology and Biostatistics, University of California, San Francisco, CA, USA
| | | | | | | | | | | | - George W Rutherford
- Department of Epidemiology and Biostatistics, University of California, San Francisco, CA, USA
| | - Thomas B Smith
- Center for Tropical Research, Institute of the Environment and Sustainability, University of California, Los Angeles, CA, USA
| | | | | | - Anne W Rimoin
- Department of Epidemiology, University of California, Los Angeles, CA, USA
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19
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Worden L, Wannier R, Hoff NA, Musene K, Selo B, Mossoko M, Okitolonda-Wemakoy E, Muyembe Tamfum JJ, Rutherford GW, Lietman TM, Rimoin AW, Porco TC, Kelly JD. Projections of epidemic transmission and estimation of vaccination impact during an ongoing Ebola virus disease outbreak in Northeastern Democratic Republic of Congo, as of Feb. 25, 2019. PLoS Negl Trop Dis 2019; 13:e0007512. [PMID: 31381606 PMCID: PMC6695208 DOI: 10.1371/journal.pntd.0007512] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2018] [Revised: 08/15/2019] [Accepted: 06/03/2019] [Indexed: 01/24/2023] Open
Abstract
BACKGROUND As of February 25, 2019, 875 cases of Ebola virus disease (EVD) were reported in North Kivu and Ituri Provinces, Democratic Republic of Congo. Since the beginning of October 2018, the outbreak has largely shifted into regions in which active armed conflict has occurred, and in which EVD cases and their contacts have been difficult for health workers to reach. We used available data on the current outbreak, with case-count time series from prior outbreaks, to project the short-term and long-term course of the outbreak. METHODS For short- and long-term projections, we modeled Ebola virus transmission using a stochastic branching process that assumes gradually quenching transmission rates estimated from past EVD outbreaks, with outbreak trajectories conditioned on agreement with the course of the current outbreak, and with multiple levels of vaccination coverage. We used two regression models to estimate similar projection periods. Short- and long-term projections were estimated using negative binomial autoregression and Theil-Sen regression, respectively. We also used Gott's rule to estimate a baseline minimum-information projection. We then constructed an ensemble of forecasts to be compared and recorded for future evaluation against final outcomes. From August 20, 2018 to February 25, 2019, short-term model projections were validated against known case counts. RESULTS During validation of short-term projections, from one week to four weeks, we found models consistently scored higher on shorter-term forecasts. Based on case counts as of February 25, the stochastic model projected a median case count of 933 cases by February 18 (95% prediction interval: 872-1054) and 955 cases by March 4 (95% prediction interval: 874-1105), while the auto-regression model projects median case counts of 889 (95% prediction interval: 876-933) and 898 (95% prediction interval: 877-983) cases for those dates, respectively. Projected median final counts range from 953 to 1,749. Although the outbreak is already larger than all past Ebola outbreaks other than the 2013-2016 outbreak of over 26,000 cases, our models do not project that it is likely to grow to that scale. The stochastic model estimates that vaccination coverage in this outbreak is lower than reported in its trial setting in Sierra Leone. CONCLUSIONS Our projections are concentrated in a range up to about 300 cases beyond those already reported. While a catastrophic outbreak is not projected, it is not ruled out, and prevention and vigilance are warranted. Prospective validation of our models in real time allowed us to generate more accurate short-term forecasts, and this process may prove useful for future real-time short-term forecasting. We estimate that transmission rates are higher than would be seen under target levels of 62% coverage due to contact tracing and vaccination, and this model estimate may offer a surrogate indicator for the outbreak response challenges.
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Affiliation(s)
- Lee Worden
- F. I. Proctor Foundation, University of California, San Francisco (UCSF), San Francisco, California, United States of America
| | - Rae Wannier
- F. I. Proctor Foundation, University of California, San Francisco (UCSF), San Francisco, California, United States of America
- School of Medicine, UCSF, San Francisco, California, United States of America
| | - Nicole A. Hoff
- Department of Epidemiology, Fielding School of Public Health, University of California, Los Angeles, Los Angeles, California, United States of America
| | - Kamy Musene
- Department of Epidemiology, Fielding School of Public Health, University of California, Los Angeles, Los Angeles, California, United States of America
| | - Bernice Selo
- Ministry of Health, Directorate of Primary Health Care Development, Kinshasa, Democratic Republic of Congo
| | - Mathias Mossoko
- Ministry of Health, Directorate of Primary Health Care Development, Kinshasa, Democratic Republic of Congo
| | | | | | | | - Thomas M. Lietman
- F. I. Proctor Foundation, University of California, San Francisco (UCSF), San Francisco, California, United States of America
- School of Medicine, UCSF, San Francisco, California, United States of America
| | - Anne W. Rimoin
- Department of Epidemiology, Fielding School of Public Health, University of California, Los Angeles, Los Angeles, California, United States of America
| | - Travis C. Porco
- F. I. Proctor Foundation, University of California, San Francisco (UCSF), San Francisco, California, United States of America
- School of Medicine, UCSF, San Francisco, California, United States of America
| | - J. Daniel Kelly
- F. I. Proctor Foundation, University of California, San Francisco (UCSF), San Francisco, California, United States of America
- School of Medicine, UCSF, San Francisco, California, United States of America
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