Data resources
We obtained the daily number of newly confirmed cases, cumulative number of confirmed cases, daily number of new deaths, cumulative number of deaths, daily number of new recoveries and cumulative number of recoveries in both Wuhan city and Hubei province from January 10, 2020 to March 30, 2020 from the Outbreak Notification of National Health Commission (NHC) of People’s Republic of China14,15. Challenges we faced were the accessibility of existing cases in ICU, therefore, we included existing number of cases in ICU only in Hubei province15 from January 10, 2020 to March 30, 2020 in our further study. We estimated the actual daily number of beds needed in isolation ward and ICU by subtracting the cumulative number of deaths and recoveries from the cumulative number of confirmed cases.
Model construction
In our modified SIR model, we divided the whole population of Wuhan (11 million) into three compartments16-19, i.e., susceptible (S), infectious (I) and removal (R). Individuals who die of or recover from the infection would be moved into the removal compartment and we assume recovered individuals would have acquired immunity20, 21. Specially, weconstructed a SIR model using discrete-time Markov chain22-24 to simulate daily epidemic dynamics and transition between different compartments to predict the burden on the public health system in the early stage of the COVID-19 epidemic in Wuhan. In the discrete-time Markov chain, one cycle in our model represents one day in actual time. Given that early investigation has suggested human-to-human transmission occurred among close contacts since the mid-December 201925, we set the first day of our model on 15th December 2019. Since we aimed to investigate the application of SIR model in the early stage of an epidemic, we ended our projection on 31st March 2020, when the peak of epidemic has passed, and the daily number of newly confirmed cases dropped to a relatively low level.
Parameters and Scenarios
The parameters fed into the SIR model represent the transition probabilities from one status to another within each cycle (Table 1). In our analysis, we considered eight scenarios based on the progression of the epidemic. Different scenarios used parameters estimated based on the data available at different stages of the epidemic (from 100 to 12,800 cumulative confirmed cases). The parameters affected by the scenarios are “DailyNewCase.Rate”, “DailyRemoval.Rate” and “ICU.Rate”. “DailyNewCase.Rate” was estimated based on daily number of newly confirmed cases in Wuhan city, while “DailyRemoval.Rate” and “ICU.Rate” were estimated based on daily number of removal cases, daily number of existing confirmed cases and daily number of existing ICU cases in Hubei province since such data were not released at the city level.
Table 1. Parameters, interpretation, and sources included in SIR Model
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)
Specifically, Scenario 1 estimated these parameters based on data on the day when the reported cumulative confirmed cases reached 100; Scenario 2 estimated these parameters based on data between the day of 100 and the day of 200 cumulative confirmed cases; Scenario 3 estimated these parameters based on data between the day of 200 and the day of 400 cumulative confirmed cases; and the remaining five scenarios were constituted by the intervals in which the number of cumulative confirmed cases doubled (Supplementary Table 1). Additionally, we performed a sensitivity analysis based on parameters estimated using data from the day of 800 to the day of 3,200 cumulative confirmed cases.
Considering that undiagnosed infectious individuals would most likely experienced mild symptoms, we hypothesized the average time needed for recovery (Days undiagnosed) for undiagnosed infectious individuals to be 12.5 days26 and the probabilities of self-recovering (Self.Recovery.Rate) without hospitalization within any given day to be 1/12.5. Additionally, we assumed three scenarios of diagnosis rate (Dx.Rate), i.e., 50%, 70%, and 90%. Therefore, the undiagnosed rate was calculated using diagnosis rate divided by days undiagnosed. An overall death rate of 14% among the hospitalized cases was used according to the investigation by researchers from the University of Hong Kong27. Additionally, to model the effect of public health intervention implemented in Wuhan, we assumed 30%, 50%, 70%, and 90% efficacy in each scenario when comparing to the RWD. All the model inputs of different scenarios are shown in Supplementary Table 1.
The number of beds needed in isolation ward was the sum of daily total isolation ward patients and daily total undiagnosed cases. While the number of beds needed in ICU was equal to the number of daily total ICU cases.
Transition and Markov chain
Specifically, in our model, as shown in Figure 1, “susceptible” population in Wuhan is categorized into the susceptible compartment (S). When the susceptible become infected (I) with the rate of
, they will be categorized into either the “undiagnosed” state with the rate of “1- Dx.Rate” or “confirmed cases” state with the rate of “Dx.Rate”. Meanwhile, some confirmed cases will be categorized into “isolation ward” state with the rate of “1-ICU.Rate (Hubei)”, and others will be categorized into “ICU” state with the rate of “ICU.Rate (Hubei)”
Undiagnosed cased will remain undiagnosed and self-recover with rate of “Self.Recovery.Rate”, or become confirmed cases with rate of “UnDxCase.Rate”, and be admitted to isolation ward or ICU. Confirmed cases in the isolation ward will recover (R) or be admitted to ICU if their symptoms deteriorate. Confirmed cases in the ICU will recover (R) or die of the infection (R). We considered “Removal” as those recovered or dead from the health system. The total number of removals (recovered plus dead from the health system) should be calculated as total number of daily confirmed cases times the rate “DailyRemoval.Rate (Hubei)”.
![](data:image/png;base64,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)
Comparison of SIR projection and RWD
We compared our projection of scenarios of different public health interventions to the RWD to validate the application of our model. Specifically, we calculated the Root Mean Square Errors (RMSEs) to check how our projection result fit the RWD. For each scenario, we calculated RMSE for the projection from the first day of which data for parameter estimation were available to the day of RWD peak (18th Feb 2020), e.g., RMSE for Scenario 1 was calculated based on projection from the day reached 100 cumulative cases to the day of RWD peak and RMSE for Scenario 5 was calculated based on projection from the day reaching 1600 cumulative cases to the day of RWD peak.
Patient and Public involvement
Patients or the public were not involved, and it was not appropriate or possible to involve patients or the public in the design, or conduct, or reporting, or dissemination plans of our research.