Proceedings of the 12th International Conference on Green Technology (ICGT 2022)

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Numerical Simulation of Covid-19 Mathematical Modelling with Optimal Control in Indonesia

Authors
Nur Ilmayasinta1, *, Asmianto2
1Mathematics Education Department, Universitas Islam Lamongan, Lamongan, Indonesia
2Mathematics Department, Universitas Negeri Malang, Malang, Indonesia
*Corresponding author. Email: nurilma@unisla.ac.id
Corresponding Author
Nur Ilmayasinta
Available Online 29 May 2023.
DOI
10.2991/978-94-6463-148-7_2How to use a DOI?
Keywords
Covid-19; mathematical model; optimal control; SEIR model; PMP method
Abstract

The mathematical model of COVID-19 considered in this study is the SEIR model which is defined by four ordinary differential equations that describe the number of susceptible, infected, infected and cured individuals by applying optimal control theory in the form of treatment and quarantine. To characterize the optimal control in the COVID-19 seir mathematical model, the Pontryagin maximum principle is used. The purpose of this study was to reduce the number of susceptible, infected and infected individuals and increase the number of recovered individual populations. The covid-19 mathematical model with optimal control is solved using the Runge-kutta order 4 method and the results are represented graphically. The results obtained from the simulations carried out show that optimal control can work well on the Covid-19 mathematical model that has been formed with the data used being actual data on Covid-19 cases in Indonesia.

Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 12th International Conference on Green Technology (ICGT 2022)
Series
Advances in Engineering Research
Publication Date
29 May 2023
ISBN
978-94-6463-148-7
ISSN
2352-5401
DOI
10.2991/978-94-6463-148-7_2How to use a DOI?
Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Nur Ilmayasinta
AU  - Asmianto
PY  - 2023
DA  - 2023/05/29
TI  - Numerical Simulation of Covid-19 Mathematical Modelling with Optimal Control in Indonesia
BT  - Proceedings of the 12th International Conference on Green Technology (ICGT 2022)
PB  - Atlantis Press
SP  - 3
EP  - 12
SN  - 2352-5401
UR  - https://doi.org/10.2991/978-94-6463-148-7_2
DO  - 10.2991/978-94-6463-148-7_2
ID  - Ilmayasinta2023
ER  -