| Literature DB >> 33953243 |
Xuying Lao1, Li Luo2, Zhao Lei2, Ting Fang1, Yi Chen1, Yuhui Liu1, Keqin Ding1, Dongliang Zhang1, Rong Wang1, Zeyu Zhao2, Jia Rui2, Yuanzhao Zhu2, Jingwen Xu2, Yao Wang2, Meng Yang2, Bo Yi3, Tianmu Chen4.
Abstract
A novel coronavirus (SARS-CoV-2) has spread worldwide and led to high disease burden around the world. This study aimed to explore the key parameters of SARS-CoV-2 infection and to assess the effectiveness of interventions to control the coronavirus disease 2019 (COVID-19). A susceptible-exposed-infectious-asymptomatic-recovered (SEIAR) model was developed for the assessment. The information of each confirmed case and asymptomatic infection was collected from Ningbo Center for Disease Control and Prevention (CDC) to calculate the key parameters of the model in Ningbo City, China. A total of 157 confirmed COVID-19 cases (including 51 imported cases and 106 secondary cases) and 30 asymptomatic infections were reported in Ningbo City. The proportion of asymptomatic infections had an increasing trend. The proportion of elder people in the asymptomatic infections was lower than younger people, and the difference was statistically significant (Fisher's Exact Test, P = 0.034). There were 22 clusters associated with 167 SARS-CoV-2 infections, among which 29 cases were asymptomatic infections, accounting for 17.37%. We found that the secondary attack rate (SAR) of asymptomatic infections was almost the same as that of symptomatic cases, and no statistical significance was observed (χ2 = 0.052, P = 0.819) by Kruskal-Wallis test. The effective reproduction number (Reff) was 1.43, which revealed that the transmissibility of SARS-CoV-2 was moderate. If the interventions had not been strengthened, the duration of the outbreak would have lasted about 16 months with a simulated attack rate of 44.15%. The total attack rate (TAR) and duration of the outbreak would increase along with the increasing delay of intervention. SARS-CoV-2 had moderate transmissibility in Ningbo City, China. The proportion of asymptomatic infections had an increase trend. Asymptomatic infections had the same transmissibility as symptomatic infections. The integrated interventions were implemented at different stages during the outbreak, which turned out to be exceedingly effective in China.Entities:
Mesh:
Year: 2021 PMID: 33953243 PMCID: PMC8099873 DOI: 10.1038/s41598-021-88473-4
Source DB: PubMed Journal: Sci Rep ISSN: 2045-2322 Impact factor: 4.379
Description and values of parameters in SEIAR model.
| Parameter | Description | Unit | Value | Range | Methods |
|---|---|---|---|---|---|
| Transmission rate at stage 1 | Individuals−1·days−1 | 5.81 × 10–8 | > 0 | Curve fitting | |
| Transmission rate at stage 2 | Individuals−1·days−1 | 8.87 × 10–10 | > 0 | Curve fitting | |
| Relative transmissibility rate of | 1 | 1 | 0–1 | Reported data and references[ | |
| Proportion of | 1 | 0.1737 | 0–1 | Reported data and references[ | |
| Incubation relative rate | days−1 | 0.2 | 0.0667–1 | Reported data and references[ | |
| Latent relative rate | days−1 | 0.2 | 0.0667–1 | Reported data and references[ | |
| Removed rate of the infectious | days−1 | 0.3333 | 0.0667–1 | Reported data | |
| Removed rate of the asymptomatic infections | days−1 | 0.3333 | 0.0667–1 | Reported data |
Figure 1Epidemic curve of reported cases and interventions of COVID-19 in Ningbo City, Zhejiang Province, China. (A) Epidemic curve of reported cases; (B) Imported cases, secondary cases and asymptomatic infections among reported cases, and interventions of COVID-19.
Figure 2The temporal distribution of the proportion of asymptomatic infections of COVID-19 in Ningbo City, Zhejiang Province, China.
Epidemiological characteristics of reported COVID-19 cases in Ningbo City, Zhejiang Province, China.
| Characteristics | Number of symptomatic cases | Number of asymptomatic infections | ||
|---|---|---|---|---|
| Male | 56 | 15 | 21.13 | 1.71 |
| Female | 101 | 15 | 12.93 | 2.86 |
| 0–9 | 1 | 3 | 75.00 | 0.59 |
| 10–19 | 4 | 2 | 33.33 | 1.00 |
| 20–29 | 13 | 3 | 18.75 | 1.44 |
| 30–39 | 27 | 4 | 12.90 | 2.16 |
| 40–49 | 20 | 5 | 20.00 | 1.69 |
| 50–59 | 47 | 9 | 16.07 | 4.24 |
| 60–69 | 29 | 1 | 3.33 | 3.14 |
| 70–79 | 11 | 3 | 21.43 | 3.52 |
| ≥ 80 | 5 | 0 | 0.00 | 2.30 |
| Scattered children | 1 | 1 | 50.00 | NA |
| Workers | 8 | 4 | 33.33 | NA |
| Students | 10 | 4 | 28.57 | NA |
| Individual business people | 3 | 1 | 25.00 | NA |
| Houseworker and unemployed | 36 | 7 | 16.28 | NA |
| Farmers | 36 | 7 | 16.28 | NA |
| Business services | 17 | 3 | 15.00 | NA |
| Retirees | 22 | 3 | 12.00 | NA |
| Public officials | 11 | 0 | 0.00 | NA |
| Teachers | 6 | 0 | 0.00 | NA |
| Migrant workers | 1 | 0 | 0.00 | NA |
| Security staffs | 1 | 0 | 0.00 | NA |
| Lawyers | 1 | 0 | 0.00 | NA |
| Business owners | 1 | 0 | 0.00 | NA |
| Medical staffs | 1 | 0 | 0.00 | NA |
| Unknown | 2 | 0 | 0.00 | NA |
p proportion of asymptomatic cases, IR infection rate, NA not available.
Figure 3Key time-to-event distributions. The estimated short incubation period distribution (i.e., the time from latest exposure to illness onset) is shown in Panel (A). The estimated long incubation period distribution (i.e., the time from earliest exposure to illness onset) is shown in Panel (B). The estimated distribution of times from illness onset to diagnosed date is shown in Panel (C). The estimated distribution of times from illness onset to isolated date is shown in Panel (D).
The secondary attack rates in twenty-two clusters of COVID-19 in Ningbo City, Zhejiang Province, China.
| Outbreak ID | Classification of infection source | Basic information of the infection source | Number of close contacts | Number of secondary cases | SAR (%) | ||
|---|---|---|---|---|---|---|---|
| Sex | Age (years) | Symptomatic | Asymptomatic | ||||
| A | Asymptomatic | Male | 24 | 48 | 2 | 1 | 6.25 |
| B | Asymptomatic | Male | 12 | 41 | 1 | 1 | 4.88 |
| C | Symptomatic | Female | 64 | 1347 | 66 | 15 | 6.01 |
| D | Symptomatic | Male | 54 | 128 | 3 | 1 | 3.13 |
| E | Symptomatic | Male | 31 | 44 | 1 | 0 | 2.27 |
| F | Symptomatic | Male | 37 | 11 | 2 | 0 | 18.18 |
| G | Symptomatic | Female | 49 | 6 | 1 | 0 | 16.67 |
| H | Symptomatic | Male | 49 | 87 | 1 | 2 | 3.45 |
| I | Symptomatic | Female | 54 | 86 | 4 | 0 | 4.65 |
| J | Symptomatic | Female | 58 | 3 | 1 | 1 | 66.67 |
| K | Symptomatic | Male | 45 | 27 | 4 | 0 | 14.81 |
| L | Symptomatic | Male | 29 | 17 | 3 | 0 | 17.65 |
| M | Symptomatic | Male | 62 | 104 | 5 | 0 | 4.81 |
| N | Symptomatic | Female | 66 | 101 | 7 | 0 | 6.93 |
| O | Symptomatic | Male | 50 | 38 | 6 | 1 | 18.42 |
| P | Symptomatic | Male | 56 | 88 | 1 | 1 | 2.27 |
| Q | Symptomatic | Female | 71 | 8 | 1 | 0 | 12.50 |
| R | Symptomatic | Female | 35 | 22 | 1 | 0 | 4.55 |
| S | Symptomatic | Female | 38 | 36 | 0 | 2 | 5.56 |
| T | Symptomatic | Female | 63 | 4 | 2 | 0 | 50.00 |
| U | Symptomatic | Female | 29 | 41 | 5 | 2 | 17.07 |
| V | Symptomatic | Female | 57 | 191 | 1 | 0 | 0.52 |
SAR secondary attack rate.
Figure 4Results of curve fitting of the SEIAR model with the reported data. (A) curve fitting with imported and secondary cases; (B) curve fitting with secondary cases.
Figure 5Effectiveness of countermeasures implemented in Ningbo City, Zhejiang Province, China. R effective reproduction number, SAC simulated accumulative cases, SAR simulated attack rate, RAC reported accumulative cases.
Effectiveness of interventions implemented at different time.
| Number of cases | TAR (%) | DO (days) | Number of cases | TAR (%) | DO (days) | Number of cases | TAR (%) | DO (days) | |
|---|---|---|---|---|---|---|---|---|---|
| Reported data | 157 | 0.0019 | 31 | 157 | 0.0019 | 31 | 157 | 0.0019 | 31 |
| 343 | 0.0042 | 49 | 1302 | 0.0159 | 59 | 13,499 | 0.1646 | 73 | |
| 1812 | 0.0221 | 88 | 51,285 | 0.6254 | 109 | 4,375,366 | 53.3581 | 130 | |
| 8233 | 0.1004 | 126 | 1,492,328 | 18.1991 | 155 | 6,553,084 | 79.9157 | 141 | |
| 36,086 | 0.4401 | 163 | 5,268,580 | 64.2510 | 182 | 6,564,749 | 80.0579 | 147 | |
| 153,075 | 1.8668 | 201 | 5,695,610 | 69.4587 | 197 | 6,564,851 | 80.0592 | 153 | |
| 584,939 | 7.1334 | 237 | 5,716,242 | 69.7103 | 212 | 6,564,852 | 80.0592 | 154 | |
| 1,642,857 | 20.0348 | 270 | 5,717,231 | 69.7223 | 227 | 6,564,852 | 80.0592 | 154 | |
| 2,811,023 | 34.2808 | 299 | 5,717,278 | 69.7229 | 242 | 6,564,852 | 80.0592 | 154 | |
| 3,379,328 | 41.2113 | 324 | 5,717,281 | 69.7229 | 242 | 6,564,852 | 80.0592 | 154 | |
| 3,556,361 | 43.3703 | 347 | 5,717,281 | 69.7229 | 242 | 6,564,852 | 80.0592 | 154 | |
| No intervention | 3,620,333 | 44.1504 | 497 | 5,717,281 | 69.7229 | 242 | 6,564,852 | 80.0592 | 154 |