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. 2020 Apr 6;35(13):e143.
doi: 10.3346/jkms.2020.35.e143.

School Opening Delay Effect on Transmission Dynamics of Coronavirus Disease 2019 in Korea: Based on Mathematical Modeling and Simulation Study

Soyoung Kim  1 , Yae Jean Kim  2 , Kyong Ran Peck  3 , Eunok Jung  4
Affiliations

School Opening Delay Effect on Transmission Dynamics of Coronavirus Disease 2019 in Korea: Based on Mathematical Modeling and Simulation Study

Soyoung Kim et al. J Korean Med Sci. .

Abstract

Background: Nonpharmaceutical intervention strategy is significantly important to mitigate the coronavirus disease 2019 (COVID-19) spread. One of the interventions implemented by the government is a school closure. The Ministry of Education decided to postpone the school opening from March 2 to April 6 to minimize epidemic size. We aimed to quantify the school closure effect on the COVID-19 epidemic.

Methods: The potential effects of school opening were measured using a mathematical model considering two age groups: children (aged 19 years and younger) and adults (aged over 19). Based on susceptible-exposed-infectious-recovered model, isolation and behavior-changed susceptible individuals are additionally considered. The transmission parameters were estimated from the laboratory confirmed data reported by the Korea Centers for Disease Control and Prevention from February 16 to March 22. The model was extended with estimated parameters and estimated the expected number of confirmed cases as the transmission rate increased after school opening.

Results: Assuming the transmission rate between children group would be increasing 10 fold after the schools open, approximately additional 60 cases are expected to occur from March 2 to March 9, and approximately additional 100 children cases are expected from March 9 to March 23. After March 23, the number of expected cases for children is 28.4 for 7 days and 33.6 for 14 days.

Conclusion: The simulation results show that the government could reduce at least 200 cases, with two announcements by the Ministry of education. After March 23, although the possibility of massive transmission in the children's age group is lower, group transmission is possible to occur.

Keywords: Behavior Changes; COVID-19; Mathematical Modeling; School Closures; School Opening Delay.

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Conflict of interest statement

The authors have no potential conflicts of interest to disclose.

Figures

Fig. 1
Fig. 1. Flow diagram of coronavirus disease 2019 transmission dynamics.
S = susceptible individuals, SF = behavior-changed susceptible individuals, E = exposed individuals, I = infectious individuals, Q = confirmed and isolated individuals, R = removed individuals.
Fig. 2
Fig. 2. Best datafit results from February 16 to March 2. Circles indicate the daily reported confirmed data from Korea Centers for Disease Control and Prevention press and solid curves display the model curve using estimated parameters. (A) Children. (B) Adults.
Fig. 3
Fig. 3. Expected number of confirmed cases from March 2 to March 9. (A) Children. (B) Adults.
Fig. 4
Fig. 4. Best datafit results from February 16 to March 9. Circles indicate the daily reported confirmed data from Korea Centers for Disease Control and Prevention press and solid curves display the model curve using estimated parameters. (A) Children. (B) Adults.
Fig. 5
Fig. 5. Expected number of confirmed cases from March 9 to March 23. (A) Children. (B) Adults.
Fig. 6
Fig. 6. Best datafit results from February 16 to March 22 and its extension until March 23. Circles indicate the daily reported confirmed data from Korea Centers for Disease Control and Prevention press and solid curves display the model curve using estimated parameters. (A) Children. (B) Adults.
Fig. 7
Fig. 7. Expected number of confirmed cases for 7 days after March 23. (A) Children. (B) Adults.
Fig. 8
Fig. 8. Expected number of confirmed cases for 14 days after March 23. (A) Children. (B) Adults.
See this image and copyright information in PMC

References

    1. Korean Society of Infectious DiseasesKorean Society of Pediatric Infectious DiseasesKorean Society of EpidemiologyKorean Society for Antimicrobial TherapyKorean Society for Healthcare-associated Infection Control and PreventionKorea Centers for Disease Control and Prevention. Report on the Epidemiological features of coronavirus disease 2019 (COVID-19) outbreak in the Republic of Korea from January 19 to March 2, 2020. J Korean Med Sci. 2020;35(10):e112. - PMC - PubMed
    1. KCDC Press. Daily Cumulative Confirmed Data. Cheongju: Korea Centers for Disease Control and Prevention; 2020.
    1. Statistics Korea. Resident Registration Population by Administrative District and Age: Korean, Author's Translation. Daejeon: Statistics Korea; 2020.
    1. Towers S, Feng Z. Pandemic H1N1 influenza: predicting the course of a pandemic and assessing the efficacy of the planned vaccination programme in the United States. Euro Surveill. 2009;14(41):19358. - PubMed
    1. Kim S, Lee J, Jung E. Mathematical model of transmission dynamics and optimal control strategies for 2009 A/H1N1 influenza in the Republic of Korea. J Theor Biol. 2017;412:74–85. - PubMed

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