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Modeling the Ebola Outbreak in West Africa, 2014 Sept 16 th Update Bryan Lewis PhD, MPH (blewis@vbi.vt.edu)blewis@vbi.vt.edu Caitlin Rivers MPH, Eric Lofgren PhD, James Schlitt, Katie Dunphy, Henning Mortveit PhD, Dawen Xie MS, Samarth Swarup PhD, Hannah Chungbaek, Keith Bisset PhD, Maleq Khan PhD, Chris Kuhlman PhD, Stephen Eubank PhD, Madhav Marathe PhD, and Chris Barrett PhD
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Currently Used Data ● Data from WHO, MoH Liberia, and MoH Sierra Leone, available at https://github.com/cmrivers/ebola https://github.com/cmrivers/ebola ● Sierra Leone case counts censored up to 4/30/14. ● Time series was filled in with missing dates, and case counts were interpolated. 2 CasesDeaths Guinea861557 Liberia24071137 Nigeria228 Sierra Leone1603524 Total48932226
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Liberia- Case Locations 3
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Liberia – Health Care Workers 4
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Liberia – Contact Tracing 5
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Liberia – Community based cases 6
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Sierra Leone – Case Locations 7
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Sierra Leone – Case Finding 8
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9 Assuming all cases are followed to the same degree, this what the “observed” Re would be based on cases found from contacts (using time lagged 7,10,12 day reported cases as denominator)
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Line Listing Gathered 50 case descriptions from media reports Tried to piece together all info we’d like access to from “comprehensive source” case_id,exposure_date,onset_date,hospital_date,death_date,recovery_date,age,sex,country,sub_location,sub_sub_locati on,legrand,exposure,hcw,source_id,identifying_notes,source 10 case_idexposure_dateonset_datehospital_datedeath_daterecovery_dateagesexcountrysub_locationsub_sub_locationlegrandexposurehcwsource_ididentifying_notesource 12013-12-022013-12-06childGuineaGueckedouMeliandouczoonoticN http://www.nejm.org/doi/full/10.1056/NEJMoa1404505 22013-12-13adultFGuineaGueckedouMeliandoucfamilyN1mother http://www.nejm.org/doi/full/10.1056/NEJMoa1404506 32013-12-252013-12-27childFGuineaGueckedouMeliandoucfamilyN1sister http://www.nejm.org/doi/full/10.1056/NEJMoa1404507 42014-01-01elderlyFGuineaGueckedoucfamilyY1grandmother http://www.nejm.org/doi/full/10.1056/NEJMoa1404508 52014-01-292014-01-31adultFGuineaGueckedouhhcwY1nurse http://www.nejm.org/doi/full/10.1056/NEJMoa1404509 62014-01-252014-02-02adultFGuineaGueckedouhhcwY1midwife http://www.nejm.org/doi/full/10.1056/NEJMoa1404510
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Line Listing - Epidemiology 11
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Line Listing – Exposure Type 12
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Line Listing – Transmission Trees 13
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Twitter Tracking 14 Most common images: Information about bushmeat, info about case locations, joke about soap cost, and dealing with Ebola patients,
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Liberia Forecasts 15 8/13 – 8/19 8/20 – 8/26 8/27 – 9/02 9/3 – 9/9 9/10 – 9/16 9/17- 9/23 9/24 – 9/30 Actual175353321468544-- Forecast1762293044045338011064 Forecast performance Reproductive Number Community1.34 Hospital0.35 Funeral0.53 Overall2.22 52% of Infected are hospitalized
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Liberia Forecasts – Role of Prior Immunity 16
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Sierra Leone Forecasts Reproductive Number Community1.22 Hospital0.23 Funeral0.24 Overall1.69 17 Forecast performance 59% of cases are hospitalized
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Prevalence of Cases 18
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All Countries Forecasts 19 rI:0.85 rH:0.74 rF:0.31 Overal:1.90 Model Parameters 'alpha':1/10 'beta_I':0.200121 'beta_H':0.029890 'beta_F':0.1 'gamma_h':0.330062 'gamma_d':0.043827 gamma_I':0.05 'gamma_f':0.25 'delta_1':.55 'delta_2':.55 'dx':0.6
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Combined Forecasts 20 8/10 – 8/16 8/17 – 8/23 8/24 – 8/30 8/31– 9/6 9/8 – 9/13 9/14- 9/20 9/21 – 9/27 9/28 – 10/4 Actual231442559783681-- Forecast3293934695606938309941191
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Synthetic Sierra Leone 21 Now integrated into the ISIS interface
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ISIS - based Calibration 22
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Next Steps - Compartmental Interventions under way – More hospital beds in urban areas – More “home-care” kits in rural areas – Arrival of therapeutics Inform the agent-based model – Geographic disaggregation – Parameter estimation – Intervention comparison 23
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Next Steps – Agent-based Implement new disease mapping – Has been Add regional mobility ABM stochastic space larger than compartmental, how to accommodate? Integrating data to assist in logistical questions – Locations of ETCs, lab facilities from OCHA – Road network – Capacities of existing support operations 24
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APPENDIX Supporting material describing model structure, and additional results 25
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Further evidence of endemic Ebola 26 1985 manuscript finds ~13% sero-prevalence of Ebola in remote Liberia – Paired control study: Half from epilepsy patients and half from healthy volunteers – Geographic and social group sub-analysis shows all affected ~equally
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Legrand et al. Model Description Legrand, J, R F Grais, P Y Boelle, A J Valleron, and A Flahault. “Understanding the Dynamics of Ebola Epidemics” Epidemiology and Infection 135 (4). 2007. Cambridge University Press: 610–21. doi:10.1017/S0950268806007217. 27
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Compartmental Model Extension of model proposed by Legrand et al. Legrand, J, R F Grais, P Y Boelle, A J Valleron, and A Flahault. “Understanding the Dynamics of Ebola Epidemics” Epidemiology and Infection 135 (4). 2007. Cambridge University Press: 610–21. doi:10.1017/S0950268806007217. 28
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Legrand et al. Approach Behavioral changes to reduce transmissibilities at specified days Stochastic implementation fit to two historical outbreaks – Kikwit, DRC, 1995 – Gulu, Uganda, 2000 Finds two different “types” of outbreaks – Community vs. Funeral driven outbreaks 29
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Parameters of two historical outbreaks 30
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NDSSL Extensions to Legrand Model Multiple stages of behavioral change possible during this prolonged outbreak Optimization of fit through automated method Experiment: – Explore “degree” of fit using the two different outbreak types for each country in current outbreak 31
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Optimized Fit Process Parameters to explored selected – Diag_rate, beta_I, beta_H, beta_F, gamma_I, gamma_D, gamma_F, gamma_H – Initial values based on two historical outbreak Optimization routine – Runs model with various permutations of parameters – Output compared to observed case count – Algorithm chooses combinations that minimize the difference between observed case counts and model outputs, selects “best” one 32
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Fitted Model Caveats Assumptions: – Behavioral changes effect each transmission route similarly – Mixing occurs differently for each of the three compartments but uniformly within These models are likely “overfitted” – Many combos of parameters will fit the same curve – Guided by knowledge of the outbreak and additional data sources to keep parameters plausible – Structure of the model is supported 33
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Liberia model params 34
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Sierra Leone model params 35
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All Countries model params 36
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Long-term Operational Estimates Based on forced bend through extreme reduction in transmission coefficients, no evidence to support bends at these points – Long term projections are unstable 37 Turn from 8-26 End from 8-26 Total Case Estimate 1 month3 months13,400 1 month6 months15,800 1 month18 months31,300 3 months6 months64,300 3 months12 months91,000 3 months18 months120,000 6 months12 months682,100 6 months18 months857,000
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