The Effectiveness of Vaccination Against The Spread of COVID-19 with SEIR Mathematical Modeling in Gowa District

  • Syafruddin Side Universitas Negeri Makassar
  • Putri Kharina Mahathir Hulinggi Universitas Negeri Makassar
  • Husnul Khatimah Syam Universitas Negeri Makassar
  • Muhammad Irfan Universitas Negeri Makassar
  • Andi Gagah Palarungi Taufik Universitas Negeri Makassar
  • Syafruddin Side Universitas Negeri Makassar
Keywords: SEIR Model, COVID-19, Vaccines, Pandemic, Basic Reproduction Number


The spread of disease in epidemic range, endemic range, as well as in the pandemic range that is spreading of the disease can be stopped with getting vaccinated. The vaccines that are effective and efficient can be the missile that stopped this Covid-19 pandemic. The aim of this research is to (1) know the mapping model of mathematics SEIR in distributing vaccines toward the spread of Covid-19 in Kabupaten Gowa, (2) know the analysis and model simulation of mathematics SEIR in distributing vaccine toward the spread of Covid-19 in Kabupaten Gowa, also (3) know the impact of distributing vaccine toward the spread of Covid-19 in Kabupaten Gowa. The method we used is the literature review, the collecting data obtained by an interview and documentation review. The research result discovered that the model of mathematics SEIR is used to describe the distribution of vaccines toward the spread of Covid-19 in Kabupaten Gowa. The analysis and simulation results model of mathematics SEIR showed that the higher vaccines effectiveness and the number of the population in Kabupaten Gowa that already had vaccinated is higher, then showed no more spreads of Covid-19 and the pandemic is over.


Abdy, M., Side, S., Annas, S., Nur, W., and Sanusi, W. (2021). An SIR Epidemic Model for COVID-19 Spread with Fuzzy
Parameter: The Case of Indonesia. Advances in Difference Equations, 2021(1).
Afifah, B. (2021). Mengenal Perkembangan Vaksin COVID-19, UNAIR News.
Annas, S., Isbar Pratama, M., Rifandi, M., Sanusi, W., and Side, S. (2020). Stability Analysis and Numerical Simulation of SEIR
Model for Pandemic COVID-19 Spread in Indonesia. Chaos, Solitons and Fractals, 139:110072.
Aulia, N., Kharis, M., and Supriyono, S. (2016). Pemodelan Matematika Epidemi Influenza dengan Memperhatikan Peluang
Keberhasilan Vaksinasi dan Kekebalan Tetap. Unnes Journal of Mathematics, 5(2):190–200.
Han, Y. and Yang, H. (2020). The Transmission and Diagnosis of 2019 Novel Coronavirus Infection Disease (COVID19): a Chinese
Perspective. Journal of medical virology, 92(6):639–644.
KPCN (2021). Data Vaksinasi Covid-19 (Update per 6 Februari 2021), Satuan Tugas Penanganan Covid-19.
Liu, C., Zhou, Q., Li, Y., Garner, L. V., Watkins, S. P., Carter, L. J., Smoot, J., Gregg, A. C., Daniels, A. D., Jervey, S., and Albaiu,
D. (2020). Research and Development on Therapeutic Agents and Vaccines for COVID-19 and Related Human Coronavirus
Diseases. ACS Central Science, 6(3):315–331.
Ophinni, Y., Hasibuan, A. S., Widhani, A., Maria, S., Koesnoe, S., Yunihastuti, E., Karjadi, T. H., Rengganis, I., and Djauzi, S.
(2020). COVID-19 Vaccines: Current Status and Implication for Use in Indonesia. Acta Medica Indonesiana, 52(4):388–412.
Pang, J., Wang, M. X., Ang, I. Y. H., Tan, S. H. X., Lewis, R. F., Chen, J. I., Gutierrez, R. A., Gwee, S. X. W., Chua, P. E. Y., Yang,
Q., Ng, X. Y., Yap, R. K., Tan, H. Y., Teo, Y. Y., Tan, C. C., Cook, A. R., Yap, J. C. H., and Hsu, L. Y. (2020). Potential Rapid
Diagnostics, Vaccine and Therapeutics for 2019 Novel Coronavirus (2019-nCoV): A Systematic Review. Journal of Clinical
Medicine, 9(3).
Resmawan, R., Nuha, A. R., and Yahya, L. (2021). Analisis Dinamik Model Transmisi COVID-19 dengan Melibatkan Intervensi
Karantina. Jambura Journal of Mathematics, 3(1):66–79.
Sifriyani, S. and Rosadi, D. (2020). Susceptible Infected Recovered (Sir) Model for Estimating Covid-19 Reproduction Number in
East Kalimantan and Samarinda. Media Statistika, 13(2):170–181.
Sulsel Tanggap Covid-19 (2021). Data Pantauan Covid-19 di Sulawesi Selatan.
Syamaidzar, S. (2021). Review Vaksin COVID-19. Review Vaksin Covid-19.
WHO (2021). WHO Coronavirus (Covid-19) Dashboard.
How to Cite
S. Side, P. K. Mahathir Hulinggi, H. Khatimah Syam, M. Irfan, A. G. Palarungi Taufik, and S. Side, “The Effectiveness of Vaccination Against The Spread of COVID-19 with SEIR Mathematical Modeling in Gowa District”, Jurnal Varian, vol. 5, no. 1, pp. 17 - 28, Nov. 2021.