Mathematical Model, Stability Analysis and Numerical Simulations for The Spread of Malaria Disease in Yogyakarta City, Indonesia

Authors

  • Prihantini Prihantini Institut Teknologi Bandung

DOI:

https://doi.org/10.14421/fourier.2021.102.81-88

Keywords:

Mathematical Model, SIDR, Stability Analysis

Abstract

Indonesia merupakan negara yang sering terjadi penyakit malaria. Oleh karena itu, diperlukan model matematika yang mampu memodelkan distribusi malaria. Tujuan dari penelitian ini adalah untuk membuat model dengan variabel yang memperhatikan suspected, infeksi, dorman dan pulih. Hasil model yang terbentuk kemudian disimulasikan dengan menggunakan software maple 18. Dari hasil simulasi dapat disimpulkan bahwa terjadi penurunan populasi yang terinfeksi dan peningkatan populasi yang pulih dari waktu ke waktu.

[Indonesia is a country with frequent malaria cases. Therefore, a mathematical model is needed to model the distribution of malaria. The purpose of this study is to create a model with susceptible, infected, dormant and recovered compartments and to see the results of the simulation performed using maple 18 software. From the simulation results, it can be concluded that there is a decrease in the infected population and an increase in the recovered population over time.]

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Author Biography

Prihantini Prihantini, Institut Teknologi Bandung

Department of Mathematics, Faculty of Mathematics and Science

References

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Published

2021-10-31

How to Cite

Prihantini, P. (2021). Mathematical Model, Stability Analysis and Numerical Simulations for The Spread of Malaria Disease in Yogyakarta City, Indonesia. Jurnal Fourier, 10(2), 81–88. https://doi.org/10.14421/fourier.2021.102.81-88

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Articles