A simple epidemic model of COVID-19 and its application to Ukrainian, Indonesian, and the global data



Serhii O. Soloviov(1), Mohamad S. Hakim(2*), Iryna V. Dzyublyk(3), Serhii H. Ubohov(4), Ozar P. Mintser(5), Viktor V. Trokhymchuk(6)

(1) 
(2) Department of Microbiology, Faculty of Medicine, Public Health and Nursing, Universitas Gadjah Mada
(3) 
(4) 
(5) 
(6) 
(*) Corresponding Author

Abstract


At the beginning of 2020, one of the most significant health problems for humanity is the pandemic of coronavirus disease 2019 (COVID-19). Here, we identify features and develop simple epidemic model of COVID-19 on the basis of available epidemiological data and existing trends worldwide. Modeling of COVID-19 epidemic process was based on a classic model. A key parameter of the model, i.e. transmission parameter of SARS-CoV-2, was determined numericaly with the use of available epidemiological daily reports of COVID-19 from 17 April to 23 May 2020. Numerical determination of transmission parameter of SARS-CoV-2 according to the absolute number of COVID-19 cases in Ukraine, Indonesia and worlwide data showed its global tendency to decrease over time. Approximation of the obtained numerical values of the transmission parameter of SARS-CoV-2 was carried out using the exponential function. The results of prognostic modeling showed that by the end of summer 2020, above 30 thousand COVID-19 cases are expected in Ukraine, 100 thousand COVID-19 cases in Indonesia, and 12 million COVID-19 cases worldwide. Thus, predicting the possible consequences of the implementation of various health care control programs COVID-19 involves a comprehensive study of the epidemic process of the disease as a whole and for certain periods of time with the subsequent construction of an adequate prediction model.


Keywords


COVID-19; epidemiology; mathematical modeling; prediction



References

Peiris JS, Lai ST, Poon LL, et al. Coronavirus as a possible cause of severe acute respiratory syndrome. Lancet 2003; 361(9366): 1319-1325.

Drosten C, Gunther S, Preiser W, et al. Identification of a novel coronavirus in patients with severe acute respiratory syndrome. N Engl J Med 2003; 348(20): 1967-1976.

Zhong N, Zeng G. What we have learnt from SARS epidemics in China. BMJ 2006; 333(7564): 389-391.

Widagdo W, Okba NMA, Stalin Raj V, Haagmans BL. MERS-coronavirus: from discovery to intervention. One Health 2017; 3: 11-16.

Zhu N, Zhang D, Wang W, et al. A novel coronavirus from patients with pneumonia in China, 2019. N Engl J Med 2020; 382(8): 727-733.

Zhou P, Yang XL, Wang XG, et al. A pneumonia outbreak associated with a new coronavirus of probable bat origin. Nature 2020; 579(7798): 270-273.

Coronaviridae Study Group of the International Committee on Taxonomy of V. The species severe acute respiratory syndrome-related coronavirus: classifying 2019-nCoV and naming it SARS-CoV-2. Nat Microbiol 2020; 5(4): 536-544.

Jin Y, Yang H, Ji W, et al. Virology, epidemiology, pathogenesis, and control of COVID-19. Viruses 2020; 12(4): 372.

Zheng J. SARS-CoV-2: an emerging coronavirus that causes a global threat. Int J Biol Sci 2020; 16(10): 1678-1685.

https://www.who.int/emergencies/diseases/novel-coronavirus-2019/situation-reports (accessed on 6 May 2020)

https://www.worldometers.info/coronavirus/?utm_campaign=homeAdvegas1? (accessed on 6 May 2020)

Yang Y, Peng F, Wang R, et al. The deadly coronaviruses: the 2003 SARS pandemic and the 2020 novel coronavirus epidemic in China. J Autoimmun 2020; 109: 102434.

Kermack WO, McKendrick AG. A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society of London 1927; 115: 700-721.

Coronavirus (COVID-19): https://covid.ourworldindata.org/data/owid-covid-data.xlsx

Kucharski AJ, Russell TW, Diamond C, et al. Early dynamics of transmission and control of COVID-19: a mathematical modelling study. Lancet Infect Dis 2020; 20(5): 553-558.

Liu Y, Gayle AA, Wilder-Smith A, Rocklov J. The reproductive number of COVID-19 is higher compared to SARS coronavirus. J Travel Med 2020; 27(2): taaa021.

Bai Y, Yao L, Wei T, et al. Presumed asymptomatic carrier transmission of COVID-19. JAMA 2020; 323(14): 1406-1407.

Day M. Covid-19: identifying and isolating asymptomatic people helped eliminate virus in Italian village. BMJ 2020; 368: m1165.




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Journal of the Medical Sciences (Berkala Ilmu Kedokteran) by  Universitas Gadjah Mada is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Based on a work at http://jurnal.ugm.ac.id/bik/.