# ANALYSIS OF COVID-19 FOMITE TRANSMISSION MODEL WITH DISINFECTANT SPRAY

• La Ode Sabran Mathematics Study Program, Faculty of Science and Technology, UIN Imam Bonjol Padang
• Ilham Dangu Rianjaya Mathematics Study Program, Faculty of Science and Technology, UIN Imam Bonjol Padang
• Lilis Harianti Hasibuan Mathematics Study Program, Faculty of Science and Technology, UIN Imam Bonjol Padang
• La Ode Nashar Statistics Study Program, Faculty of Mathematics and Natural Sciences, Gorontalo State University
Keywords: COVID-19, Fomite Transmission, Mathematical Model, Disinfectant Spraying

### Abstract

The SARS-CoV-2 virus causes the infectious disease COVID-19. This virus can be transmitted via the fomite mode of transmission (the surface of objects contaminated with the virus). It is possible to prevent the spread of COVID-19 by spraying disinfectant on infected objects. This research aims to develop a mathematical model of COVID-19 fomite transmission with disinfectant spraying intervention. The model was analyzed by determining its stability and critical point. A Ro analysis was conducted to determine the impact of disinfectant spraying on the eradication or spread of the disease. The results demonstrated that, in the absence of disinfectant spraying, the number of infected humans increased rapidly and abruptly. Based on the findings of sensitivity analysis, it is known that spraying disinfectants is highly effective at reducing Ro, thereby reducing the number of infected humans and eradicating the disease from the population. In this study, the recommended measure to prevent the spread of COVID-19 is the periodic application of disinfectant in accordance with medical regulations.

### References

E. Parwanto, “Virus Corona (SARS-Cov-2) Penyebab COVID-19 Kini Telah Bermutas,” J. Biomedika dan Kesehat., vol. 4, no. 2, pp. 47–49, 2021, doi: 10.18051/JBiomedKes.2021.v4.47-49.

D. Handayani, D. R. Hadi, F. Isbaniah, E. Burhan, and H. Agustin, “Penyakit Virus Corona 2019,” J. Respirologi Indones., vol. 40, no. 2, pp. 119–129, 2020, doi: https://doi.org/10.36497/jri.v40i2.101.

A. Syauqi, “Jalan Panjang COVID19 (sebuah refleksi dikala wabah merajalela berdampak pada perekonomian),” JKUBS J. Keuang. dan Perbank. Syariah, vol. 1, no. 1, pp. 1–19, 2020, [Online]. Available: https://e-journal.iainptk.ac.id/index.php/jkubs/article/view/115.

World Health Organization (WHO), “Coronavirus Disease (COVID-19) Situation Report-188 26th July 2020,” World Heal. Organ., no. July, p. 16, 2020, [Online]. Available: https://www.who.int/docs/default-source/coronaviruse/situation-reports/20200726-COVID-19-sitrep-188.pdf?sfvrsn=f177c3fa_2 [Diakses: 7 Desember 2021].

N. Nuraini, K. Khairudin, and M. Apri, “Modeling Simulation of COVID-19 in Indonesia based on Early Endemic Data,” Commun. Biomath. Sci., vol. 3, no. 1, pp. 1–8, 2020, doi: 10.5614/cbms.2020.3.1.1.

H. Susanto, “Kalau kita tidak serius, puncak COVID-19 di Indonesia bisa sekitar 2 bulan lagi, di bulan Ramadan,” pp. 1–5, 2020, [Online]. Available: http://hadisusanto.net/paper2/COVID19.pdf. [Diakses: 7 Desember 2021].

World Health Organization (WHO), “Transmisi SARS-Cov-2: Implikasi Terhadap Kewaspadaan Pencegahan Infeksi,” World Heal. Organ., vol. Available, pp. 1–10, 2020, [Online]. Available: https://www.who.int/publications-detail/modes-of-transmission-of-virus-causing-COVID-19-implications-for-ipc-precaution-recommendations [Diakses: 6 Desember 2021].

S. W. X. Ong et al., “Air, Surface Environmental, and Personal Protective Equipment Contamination by Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) from a Symptomatic Patient,” JAMA - J. Am. Med. Assoc., vol. 323, no. 16, pp. 1610–1612, 2020, doi: 10.1001/jama.2020.3227.

N. van Doremalen et al., “Aerosol and Surface Stability of SARS-CoV-2 as Compared with SARS-CoV-1,” N. Engl. J. Med., vol. 382, no. 16, pp. 1564–1567, 2020, doi: 10.1056/NEJMc2004973.

World Health Organization (WHO), “How It Spreads,” 2020, [Online]. Available: https://www.who.int/docs/default-source/coronaviruse/risk-comms-updates/update-20-epi-win-COVID-19.pdf?sfvrsn=5e0b2d74_2 [Diakses: 7 Januari 2022].

A. L. Larasati and C. Haribowo, “Penggunaan Desinfektan dan Antiseptik pada Pencegahan Penularan COVID-19 di Masyarakat,” Maj. Farmasetika, vol. 5, no. 3, pp. 137–145, 2020, doi: 10.24198/mfarmasetika.v5i3.27066.

G. Kampf, D. Todt, S. Pfaender, and E. Steinmann, “Persistence of Coronaviruses on Inanimate Surfaces and Their Inactivation with Biocidal Agents,” J. Hosp. Infect., vol. 104, no. 3, pp. 246–251, 2020, doi: https://doi.org/10.1016/j.jhin.2020.01.022.

T. Pottage, C. Richardson, S. Parks, J. T. Walker, and A. M. Bennett, “Evaluation of Hydrogen Peroxide Gaseous Disinfection Systems to Decontaminate Viruses.,” J. Hosp. Infect., vol. 74, no. 1, pp. 55–61, Jan. 2010, doi: 10.1016/j.jhin.2009.08.020.

P. van den Driessche and J. Watmough, “Reproduction Numbers and Sub-threshold Endemic Equilibria for Compartmental Models of Disease Transmission,” Math. Biosci., vol. 180, no. 1, pp. 29–48, 2002, doi: https://doi.org/10.1016/S0025-5564(02)00108-6.

O. Diekmann and J. A. P. Heesterbeek, Mathematical Epidemiology of Infectious Diseases : Model Building, Analysis, and Interpretation. Chichester : Wiley, 2000.

Published
2022-09-01
How to Cite
[1]
L. O. Sabran, I. Rianjaya, L. Hasibuan, and L. O. Nashar, “ANALYSIS OF COVID-19 FOMITE TRANSMISSION MODEL WITH DISINFECTANT SPRAY”, BAREKENG: J. Math. & App., vol. 16, no. 3, pp. 1021-1030, Sep. 2022.
Section
Articles