| Literature DB >> 32382449 |
Yongyue Wei1, Liangmin Wei1, Yue Jiang1, Sipeng Shen1, Yang Zhao1, Yuantao Hao2, Zhicheng Du2, Jinling Tang3, Zhijie Zhang4, Qingwu Jiang4, Liming Li5, Feng Chen1, Hongbing Shen1.
Abstract
The majority of cases infected with the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) in China centered in the city of Wuhan. Despite a rapid increase in the number of cases and deaths due to the coronavirus disease 2019 (COVID-19), the epidemic was stemmed via a combination of epidemic mitigation and control measures. This study evaluates how the implementation of clinical diagnostics and universal symptom surveys contributed to epidemic control in Wuhan. We extended the susceptibles-exposed-infectious-removed (SEIR) transmission dynamics model by considering three quarantined compartments (SEIR+Q). The SEIR+Q dynamics model was fitted using the daily reported number of confirmed infections and unconfirmed cases by clinical diagnostic criteria up to February 14, 2020 in Wuhan. Applying the model to carry forward the pre-February 14 trend in Wuhan, the number of daily new diagnosed cases would be expected to drop below 100 by March 25, below 10 by April 29, and reach 0 by May 31, 2020. The observed case counts after February 14 demonstrated that the daily new cases fell below 100 by March 6, below 10 by March 11, and reached 0 by March 18, or, respectively, 19, 49, and 74 d earlier than model predictions. By March 30, the observed number of cumulative confirmed cases was 50 006, which was 19 951 cases fewer than the predicted count. Effective reproductive number R(t) analysis using observed frequencies showed a remarkable decline after the implementation of clinical diagnostic criteria and universal symptom surveys, which was significantly below the R(t) curve estimated by the model assuming that the pre-February 14 trend was carried forward. In conclusion, the proposed SEIR+Q dynamics model was a good fit for the epidemic data in Wuhan and explained the large increase in the number of infections during February 12-14, 2020. The implementation of clinical diagnostic criteria and universal symptom surveys contributed to a contraction in both the magnitude and the duration of the epidemic in Wuhan.Entities:
Keywords: COVID-19; Clinical diagnostic criteria; Evaluation of the intervention effect; Extended SEIR+Q dynamics model; Universal symptom survey
Year: 2020 PMID: 32382449 PMCID: PMC7204764 DOI: 10.1016/j.eng.2020.04.008
Source DB: PubMed Journal: Engineering (Beijing) ISSN: 2095-8099 Impact factor: 7.553
Number of officially reported cases of COVID-19 in Wuhan, 2020.
| Date | Number of daily | Number of | Date | Number of daily | Number of |
|---|---|---|---|---|---|
| Jan 15 | 0 | 41 | Feb 22 | 541 | 46 201 |
| Jan 16 | 4 | 45 | Feb 23 | 406 | 46 607 |
| Jan 17 | 17 | 62 | Feb 24 | 464 | 47 071 |
| Jan 18 | 59 | 121 | Feb 25 | 370 | 47 441 |
| Jan 19 | 77 | 198 | Feb 26 | 383 | 47 824 |
| Jan 20 | 60 | 258 | Feb 27 | 313 | 48 137 |
| Jan 21 | 105 | 363 | Feb 28 | 420 | 48 557 |
| Jan 22 | 62 | 425 | Feb 29 | 565 | 49 122 |
| Jan 23 | 70 | 495 | Mar 1 | 193 | 49 315 |
| Jan 24 | 77 | 572 | Mar 2 | 111 | 49 426 |
| Jan 25 | 46 | 618 | Mar 3 | 114 | 49 540 |
| Jan 26 | 80 | 698 | Mar 4 | 131 | 49 671 |
| Jan 27 | 892 | 1 590 | Mar 5 | 126 | 49 797 |
| Jan 28 | 315 | 1 905 | Mar 6 | 74 | 49 871 |
| Jan 29 | 356 | 2 261 | Mar 7 | 41 | 49 912 |
| Jan 30 | 378 | 2 639 | Mar 8 | 36 | 49 948 |
| Jan 31 | 576 | 3 215 | Mar 9 | 17 | 49 965 |
| Feb 1 | 894 | 4 109 | Mar 10 | 13 | 49 978 |
| Feb 2 | 1 033 | 5 142 | Mar 11 | 8 | 49 986 |
| Feb 3 | 1 242 | 6 384 | Mar 12 | 5 | 49 991 |
| Feb 4 | 1 967 | 8 351 | Mar 13 | 4 | 49 995 |
| Feb 5 | 1 766 | 10 117 | Mar 14 | 4 | 49 999 |
| Feb 6 | 1 501 | 11 618 | Mar 15 | 4 | 50 003 |
| Feb 7 | 1 985 | 13 603 | Mar 16 | 1 | 50 004 |
| Feb 8 | 1 379 | 14 982 | Mar 17 | 1 | 50 005 |
| Feb 9 | 1 920 | 16 902 | Mar 18 | 0 | 50 005 |
| Feb 10 | 1 552 | 18 454 | Mar 19 | 0 | 50 005 |
| Feb 11 | 1 104 | 19 558 | Mar 20 | 0 | 50 005 |
| Feb 12 | 13 436 | 32 994 (12 364 | Mar 21 | 0 | 50 005 |
| Feb 13 | 2 997 | 35 991 (14 031 | Mar 22 | 0 | 50 005 |
| Feb 14 | 1 923 | 37 914 (14 953 | Mar 23 | 1 | 50 006 |
| Feb 15 | 1 548 | 39 462 | Mar 24 | 0 | 50 006 |
| Feb 16 | 1 690 | 41 152 | Mar 25 | 0 | 50 006 |
| Feb 17 | 1 600 | 42 752 | Mar 26 | 0 | 50 006 |
| Feb 18 | 1 660 | 44 412 | Mar 27 | 0 | 50 006 |
| Feb 19 | 615 | 45 027 | Mar 28 | 0 | 50 006 |
| Feb 20 | 319 | 45 346 | Mar 29 | 0 | 50 006 |
| Feb 21 | 314 | 45 660 | Mar 30 | 0 | 50 006 |
Number of daily new cases was calibrated by the number of cumulative cases on the current day aside from that of the previous day.
Number of cumulative cases by clinical diagnostic criteria.
Fig. 1Illustration of the extended SEIR+Q dynamics model. β: contact rate of susceptible persons with incubation period or infected persons; ρ: probability of susceptible population being tracked; φ: probability of infection among population with close contacts; ε: coefficient of transmission compared with infected persons; ω: the release rate of quarantined susceptible population; α: the rate of an incubator progressing to an infected person, the reciprocal of the incubation period; γ: removal rate of undiagnosed (not quarantined) infected persons; γq: removal rate of confirmed infected persons; θ: proportion of confirmed isolates among infected persons.
Parameters in the SEIR+Q dynamics model.
| Parameter | Initial value | Range | Reference |
|---|---|---|---|
| 8 × 104 | 5 × 104–1.5 × 105 | RK4 and MCMC | |
| 0 | Fixed | — | |
| 361 | Fixed | ||
| 0 | Fixed | — | |
| 26 | Fixed | — | |
| 41 | Fixed | ||
| 14 | Fixed | Official website | |
| 1.45 × 10−4 | 1 × 10−5–1 × 10−3 | RK4 and MCMC | |
| 0.05 | 0–0.10 | RK4 and MCMC | |
| 0.13 | 0.01–0.50 | RK4 and MCMC | |
| 0.07 | 0.10–0.90 | RK4 and MCMC | |
| 0.07 | Fixed | — | |
| 0.19 | Fixed | Ref. | |
| 0.1 | Fixed | Ref. | |
| 0.1 | Fixed | Ref. | |
| 0.6 | 0.2–0.8 | RK4 and MCMC |
RK4: fourth-order Runge‒Kutta method; MCMC: Markov chain Monte Carlo.
Fig. 2Wuhan COVID-19 epidemic trend fitted by the SEIR+Q dynamics model. (a) The actual unconfirmed cases diagnosed by clinical symptoms (red dots) and laboratory-confirmed infections (gray stairs) before February 14, 2020 were used to fit the dynamics model. Orange stairs represent the actual overall infections including laboratory-confirmed and clinical diagnosis cases after February 12, 2020. The numbers of cumulative unconfirmed cases (red curve), confirmed infections (blue curve), and overall infections including confirmed and unconfirmed cases (green curve) were predicted by the SEIR+Q dynamics model. Black arrows denote implementation of clinical diagnostic criteria from February 12 to 14 and universal symptom survey from February 17 to 19. The gray shadow before February 12 indicates the proportion of unreported unconfirmed cases. The gray shadow after February 14 indicates the effect of the interventions. (b) Summary of the effects of epidemic prevention and control interventions in Wuhan. (c) Considering that the Diagnosis and treatment protocol for novel coronavirus pneumonia (trial version 6)[10] released by February 19 no longer supported clinical diagnostic criteria for COVID-19, the predicted number of unconfirmed cases after February 19 was subtracted from the overall infections for sensitivity analysis.
Fig. 3Sequential effective reproductive numbers (R(t)) for Wuhan’s epidemic trend estimated based on dynamics models. R(t) curves were estimated based on Model I using actual data from before February 14 (red curve), Model II by refitting the trend after February 14 (blue curve), and calibrated actual frequencies (orange curve). Three vertical bars denote the three key intervention periods: first-round universal symptom survey, clinical diagnostic criteria, and second-round universal symptom survey.