Analysis of SEIQV Epidemic Model on the Spread of Covid-19  in Jember Regency

Mohammad Rifqi Alfarezi; Mohammad Hasan; Firdaus Ubaidillah

doi:10.24198/jmi.v20.n1.46757.11-24

Analysis of SEIQV Epidemic Model on the Spread of Covid-19 in Jember Regency

Mohammad Rifqi Alfarezi, Mohammad Hasan, Firdaus Ubaidillah

Abstract

Covid-19 is a disease that attacks the respiratory system caused by infection with SARSCoV-2. Efforts to prevent the spread of Covid-19 by vaccination. The spread of disease can be modeled into a mathematical equation. The model used in this study is the SEIQV Model. The disease spread model is analyzed by finding the equilibrium point and the stability of the equilibrium point as well as the basic reproduction number. In the Covid-19 distribution model, a bifurcation analysis is carried out which is needed to determine changes in stability and changes in the number of equilibrium points. Then perform a numerical solution using the fourth-order Runge-Kutta method which is simulated using MATLAB.

Keywords

Covid-19, Vaccinate, SEIQV Model, equilibrium point, basic reproduction number, Bifurcation, fourth-order Runge-Kutta method.

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References

Badan Pusat Statistik Kabupaten Jember. 2021. Jumlah Penduduk Menurut Tempat Lahir di Jember. https://jemberkab.bps.go.id/statictable/2021/11/03/315/jumlah-penduduk-menurut-tempat-lahir-dikabupaten-jember-2020.html. [Diakses 10 Agustus 2022].

Harianto, J., dan I. P. Sari. 2022. Analisis Kestabilan Titik Ekuilibrium Model Epidemik SEIV dengan Pertumbuhan Logistik. Majalah Ilmiah Matematika dan Statistika. 22(1): 59 – 68.

Info-Kesehatan. 2021. Apa Perbedaan Vaksin Dosis Pertama dan Kedua. http://www.pramita.co.id/id/inspirasi/info-kesehatan/apa-perbedaan-vaksin-dosis-pertama-dan-kedua- [Diakses pada 16 November 2021].

Manaqib, M., Irma, dan F. Mujiyanti. 2019. Mathematical Model for Mers-CoV Disease Transmission with Medical Mask Usage and Vaccinatio. Indonesia Journal of Pure and Applied Mathematic. vol. 1: 30 – 42.

Mu’tamar, K., S. Putra., dan S. A. Perdana. 2021. Analisis Penyebaran Covid-19 Dengan Menggunakan Model SIR dan Vaksin Serta Estimasi Parameter. Jurnal Ilmu Matematika dan Terapan. vol. 15(2): 323 – 324.

Ningsih, D. K., Hariyanto, dan S. Winarko. 2016. Analisis Bifurkasi Pada Model Epidemiologi SEIR Demam Berdarah di Surabaya. Jurnal Sains dan Seni ITS. vol. 5(1): 2337-3520.

Sutaryo., N. Yang, L. Sagoro, dan D. S. Sabrina. 2020. Buku praktis penyakit corona 19 (corona-19). Yogyakarta: Gadjah Mada University Press.

Resmawan, A., R. Nuha, dan L. Yahya. 2021. Analisis Model Transmisi Covid-19 dengan melibatkan Intervensi Karantina. Jambura Journal of Mathematics. Vol.3 (1): 66-79.

Wu, Z., Hu, Y., Xu, M., Chen, Z., Yang, W., Jiang, Z., Li, M., Jin, H., Cui, G., Chen, P., Wang, L., Zhao, G., Ding, Y., Zhao, Y., dan Yin, W. (2021). Safety, tolerability, and immunogenicity of an inactivated SARS-CoV-2 vaccine (CoronaVac) in healthy adults aged 60 years and older: A randomised, double-blind, placebo-controlled, phase 1/2 clinical trial. The Lancet Infectious.

DOI: https://doi.org/10.24198/jmi.v20.n1.46757.11-24