ANALISIS KESTABILAN MODEL SEIR UNTUK PENYEBARAN COVID-19 DENGAN PARAMETER VAKSINASI

  • Miftahul Jannah Universitas Lambung Mangkurat
  • Muhammad Ahsar Karim Universitas Lambung Mangkurat
  • Yuni Yulida Universitas Lambung Mangkurat
DOI: https://doi.org/10.30598/barekengvol15iss3pp535-542
Keywords: Covid-19, Model SEIR, Parameter Vaksinisasi, Bilangan Reproduksi Dasar, Analisis Kestabilan

Abstract

Covid-19 adalah penyakit menular yang disebabkan oleh coronavirus disease jenis baru, yaitu SARS-CoV-2. Oleh WHO, penyebaran Covid-19 telah ditetapkan sebagai pandemi global sejak 11 Maret 2020. Pada penelitian ini, penyebaran Covid-19 dimodelkan dengan menggunakan model matematika epidemik, yaitu model SEIR (Susceptible, Exposed, Infected, and Recovered) dengan memperhatikan faktor vaksinasi sebagai parameter. Selanjutnya, ditentukan titik ekuilibrium dan bilangan reproduksi dasar, serta diberikan analisis kestabilan pada model.

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References

Abdullah, S. Ahmad, S. Owyed, A.H. Abdel-Aty, E.E. Mahmoud, K. Shah and H. Alrabaiah,“Mathematical analysis of COVID-19 via new mathematical model,†Chaos, Salitons and Fractals, vol.143, no.110585, pp.1-9, December 2020.

A. Susilo, C.M. Rumende, C.W. Pitoyo, W.D. Santoso, M. Yulianti, Herikurniawan, R. Sinto, G. Singh, L. Nainggolan, E.J. Nelwan, L.K. Chen, A. Wildhani, E. Wijaya, B. Wicaksana, M. Maksum, F. Annisa, C.O.M. Jasirwan, E. Yunihastuti, “Coronavirus disease 2019: tinjauan literatur terkini,†Jurnal Penyakit Dalam Indonesia, vol. 7, no. 1, pp. 45-67, Maret 2020.

F. R. Gantmacher, The Theory of Matrices. USA : American Mathematical Society, 2000.

Fardinah, “Solusi Persamaan Diferensial Biasa dengan Metode Runge-Kutta Orde Lima,†Jurnal MSA, vol.5, no.1, pp.1-7, Juni 2017.

H. Anton, C. Rorress, and A. Kaul, Elementary Linear Algebra Application Version, 12th Edition. USA: John Wiley & Sons Inc, 2019.

Kementrian Kesehatan RI, Pedoman Pencegahan dan Pengendalian Coronavirus Disease (Covid-19). Jakarta, Indonesia: Kementrian Kesehatan RI, 2020.

M.A. Karim, and Y. Yulida, “Analisa Pelaksanaan New Normal di Kalimantan Selatan melalui Model Matematika SIRD,†Media Bina Ilmiah (MBI), vol. 14, no. 12, pp. 3681-3688, Juli 2020.

N. Bellomo, and L.Preziosi, Modelling Mathematical Methods and Scientific Computation, Florida : CRC Press,1995.

P. Driessche. van den and J. Watmough, “Reproduction Numbers and Sub-threshold Endemic Equilibria for Compartmental Models of Disease Transmission,†Mathematical Biosciences,vol. 180, pp. 29-48, June 2002.

S. Annas, M.I. Pratama, M. Rifandi, W. Sanusi and S. Side, “Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia,†Chaos, Salitons and Fractals, vol. 139, no. 110072, pp. 1-7, July 2020.

S. L. Ross, Differential Equation, 3th Edition. New Delhi: John Wiley and Sons, 2004.

S. Osler, Coronavirus Outbreak: All the secrets revealed about the Covid-19 pandemic. A Complete Rational Guide of its, Evolution, Expansion, Symptoms and First Defense. America : Sidney Osler, 2019.

S. Wiggins, Introduction To Applied Nonlinear Dynamical Systems And Chaos. New Delhi: Springer-Verlag, 2003.

W.D. Sihotang, C.C. Simbolon, J. Hartiny, D. Tindaon, L.P. Sinaga, “Analisis Kestabilan Model SEIR Penyebaran Penyakit Campak dengan Pengaruh Imunisasi dan Vaksin MR,†Jurnal Matematika, Statistika & Komputasi (JMSK), vol. 16, no. 1, pp. 107-113, July 2019.

Y. Yulida, and M.A. Karim, “Pemodelan Matematika Penyebaran Covid-19 di Provinsi Kalimantan Selatanâ€, Media Bina Ilmiah (MBI), vol.14, no. 10, pp. 3257-3264, Mei 2020.

Published
2021-09-01
How to Cite
[1]
M. Jannah, M. Ahsar Karim, and Y. Yulida, “ANALISIS KESTABILAN MODEL SEIR UNTUK PENYEBARAN COVID-19 DENGAN PARAMETER VAKSINASI”, BAREKENG: J. Math. & App., vol. 15, no. 3, pp. 535-542, Sep. 2021.
Issue
Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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