Stability Analysis and Numerical Simulation of the COVID-19 SISiR Model

Bahasa Indonesia

Authors

  • Arival Rince Putri Universitas Andalas
  • Berliani Nasran Universitas Andalas
  • Budi Rudianto Universitas Andalas

DOI:

https://doi.org/10.20956/j.v20i1.27747

Keywords:

COVID-19, model SISiR, lockdown, analisis kestabilan

Abstract

This research discusses the SISiR model (Susceptible Infected Sick Recovered) considering individual immune parameters and lockdown parameters. The consideration of these parameters aims to determine whether immunity and lockdown have an impact on the spread of COVID-19. The model's stability is analyzed around the equilibrium point to understand the dynamics of COVID-19 spread in a population. Furthermore, the parameter R0 is determined to indicate whether COVID-19 disappears or remains in the population. From numerical simulations with spesific parameter values, it is concluded that COVID-19 continues to spread in the population with an R0 = of 4.4486. The addition and reduction of immune and lockdown parameters affect the spread of COVID-19.

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References

Anna, A.S., 2020. Penentuan Rumus Bilangan Reproduksi Dasar pada Model Matematika COVID-19 dari Model SIR yang Dimodifikasi. EduMatSain, Vol. 5, No. 2, 203-210.

Bastistela, C.M., Correa, D.P.F., Bueno, A.M. & Piqueira, J.R.C., 2021. SIRSi Compartmental Model for COVID-19 Pandemic with Immunity Loss. Chose, Solitons and Fractals Journal, Vol. 142, No. 110388, 1-12.

Brauer, F. & Carloz-Chavez, C., 2010. Mathematical Models in Population Biology and Epidemiologi Second Edition, New York : Spinger Vancouver B. C.

Driessche, P., Van D. & Watmough, J., 2002. Reproduction Numbers and Sub-threshold Endemic Equilibria for Compartmental Models of Diasease Transmission. Mathematical Biosciences, Vol. 180, No. 1-2, 29-48.

Giordano, F.R., Fox, W.P. & Horton, S.B., 2013. A First Course in Mathematical Modeling Fifth Edition. Cengage Learning, Boston.

Putri, R.N., 2020. Indonesia Dalam Menghadapi Pendemi COVID-19. Jurnal Ilmiah Universitas Batanghari Jambi, Vol. 20, No. 2, 705-709.

Rifanti, U.M., Dewi, A.R., Nurlaili & Hapsari, S.T., 2021. COVID-19 Mathematical Epidemic Model for Impacy Analysis of Large Scale Social Restriction: The Case Study of Indonesia. IOP Conf. Series Materials Science and Engineering, Vol. 1115.

Mishra, B.K., Keshri, A.K, Rao, Y.S., Mahato, B. & Ayesha S., 2020. COVID-19 Created Chaos Across the Globe: Three Novel Quarantine Epidemic Models. Chaos Solitons Fractals, Vol. 138.

Li, R., Pei, S., Chen, B., Song, Y., Zhang, T., Yang, W. & Shaman J., 2020. Substantial Undocumented Infection Facilitates the Rapid Dissemination of Novel Coronavirus (SARS-CoV2), Science, Vol. 368, No. 6490, 489–93.

Jajarmi, A., Yusuf, A., Baleanu, D. & Inc, M.A., 2020. New Fractional HRSV Model and ts Optimal Control: a Non-Singular Operator Approach. Physica A, Vol. 547.

Godio, A., Pace, F. & Vergnano, A., 2020. SEIR Modeling of the Italian Epidemic of SARS- CoV-2 Using Computational Swarm Intelligence. Int Environ Res Public Health, Vol. 17.

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Published

2023-09-06

How to Cite

Putri, A. R., Nasran, B. ., & Rudianto, B. . (2023). Stability Analysis and Numerical Simulation of the COVID-19 SISiR Model : Bahasa Indonesia. Jurnal Matematika, Statistika Dan Komputasi, 20(1), 258- 267. https://doi.org/10.20956/j.v20i1.27747

Issue

Vol. 20 No. 1 (2023): SEPTEMBER, 2023

Section

Research Articles

License

Copyright (c) 2023 Author and publisher

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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