SOLUSI NUMERIK MODEL PENYAKIT ANEMIA MENGGUNAKAN METODE RUNGE KUTTA ORDE EMPAT DI KABUPATEN GOWA

Numerical Solution Of Anemia Disease Using The Runge-Kutta Fourth-Order Method

Authors

  • Nur Syam Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Islam Negeri Alauddin Makassar
  • Ilham Syata Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Islam Negeri Alauddin Makassar
  • Try Azisah Nurman Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Islam Negeri Alauddin Makassar

DOI:

https://doi.org/10.59896/aqlu.v2i2.103

Keywords:

Anemia, numerical solution, SAR model, runge kutta fourth order method

Abstract

This study aims to solve the mathematical model of anaemia disease numerically using the Runge-Kutta fourth-order method. The mathematical model used is a SAR model in the form of a system of differential equations that includes the number of susceptible populations (S), anaemic populations (A), and recovered human populations (R) as initial values. This model is analysed and simulated with the values of µ, α, β, ε, π as parameters and carried out as many as several iterations with an interval time or h= 0.5 months. The initial values given are S0 = 12881,  A0 = 129, R0 = 129. The simulation results in the first iteration are the rate of susceptible population (S) = 12754 , anaemic population (A) = 128 and recovered population (R) = 192 . In the second iteration the rate of susceptible population (S) = 12630, anaemic population (A) = 126 and recovered population (R) = 254 . From the results obtained it can be concluded that the rate of susceptible population and anaemic population has decreased, while for the recovered population has increased.

References

Anwar, A., Rahmat Syam, Muh. Isbar Pratama, & Syafruddin Side. (2021). SEIRS model analysis for online game addiction problem of mathematics students. Journal of Physics: Conference Series, 1918, 1-6. DOI: https://doi.org/10.1088/1742-6596/1918/4/042024

Arisanti, A. Z., Wulandari, R. L., & Anggraini, D. Y. (2022). Faktor-Faktor yang Mempengaruhi Kepatuhan Ibu Hamil dalam Mengkonsumsi Tablet Fe: Literature Review. Oksitosin: Jurnal Ilmiah Kebidanan, 131-141. DOI: https://doi.org/10.35316/oksitosin.v9i2.1676

Enkekes, Y. B., & Mardianto, L. (2022). Metode Runge-Kutta Orde 4 Dalam Penyelesaian Persamaan Gelombang 1D Syarat Batas Dirichlet. Indonesian Journal of Applied Mathematics, 1-8. DOI: https://doi.org/10.35472/indojam.v2i1.489

Hurit, R. U., & Sudi Mungkasi. (2021). The Euler, Heun, and Fourth Order Runge-Kutta Solutions to SEIR Model for the Spread of Meningitis Disease. Mathline : Jurnal Matematika Dan Pendidikan Matematika, 140–153. DOI: https://doi.org/10.31943/mathline.v6i2.176

Kartika, I. D., Savitri, A., & Wahyuni, S. (2020). Pencegahan dan Tata Laksana Awal Penyakit Anemiapada Ibu Hamil di RSIA St.Khadijah 1 Makassar. Jurnal Pengabdian Kedokteran Indonesia, 12-16. DOI: https://doi.org/10.33096/jpki.v1i1.100

Maharani, S. (2020). Penyuluhan tentang Anemia pada Remaja. Jurnal Abdimas Kesehatan (JAK), 1-3. DOI: https://doi.org/10.36565/jak.v1i3.52

Manurung, N. (2020). GAMBARAN PENGETAHUAN IBU HAMIL DALAM PENCEGAHAN PENYAKIT ANEMIA DI DESA KWALA BEGUMIT KABUPATEN LANGKAT. Jurnal Ilmiah Keperawatan IMELDA, 75-79. DOI: https://doi.org/10.52943/jikeperawatan.v6i1.348

Nugroho, A., Rahmadi, A., Sutrio, & Sari, A. J. (2023). Brownies daun kelor dan tempe tinggi protein serta zat besi bagi ibu hamil anemia. AcTion: Aceh Nutrition Journal, 20 - 29. DOI: https://doi.org/10.30867/action.v8i1.755

Pathuddin, H., Risnawati Ibnas, & Rismayanti. (2022). Solusi Numerik Model Penyebaran Penyakit Covid-19 Di Sulawesi Selatan Dengan Metode Runge-Kutta Orde Empat. Jurnal Matematika Dan Statistika Serta Aplikasinya, 10(2), 116-123. DOI: https://doi.org/10.24252/msa.v10i2.33817

WHO. (2023). Dipetik Oktober 27, 2023, dari World Health Organization: https://www.who.int/news-room/fact-sheets/detail/ANAEMIA

Yani, E., Sulhawa, Sartika, T. D., & Sari, E. P. (2023). HUBUNGAN USIA, TINGKAT PENGETAHUAN DAN KEPATUHAN MINUM FE TERHADAP KEJADIAN ANEMIA PADA IBU HAMIL. Jurnal kesehatan dan pembangunan, 211-216. DOI: https://doi.org/10.52047/jkp.v13i25.154

Yulianto, Sartono, & Nazaren, Y. (2021). Edukasi dan Pelatihan Kader Posyandu dalam Pencegahan Anemia di Wilayah Kerja Puskesmas Puntikayu. COMMUNITY EMPOWERMENT, 614-618. DOI: https://doi.org/10.31603/ce.4552

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Published

29-07-2024

How to Cite

Syam, N., Syata, I., & Nurman, T. A. (2024). SOLUSI NUMERIK MODEL PENYAKIT ANEMIA MENGGUNAKAN METODE RUNGE KUTTA ORDE EMPAT DI KABUPATEN GOWA: Numerical Solution Of Anemia Disease Using The Runge-Kutta Fourth-Order Method. Al-Aqlu: Jurnal Matematika, Teknik Dan Sains, 2(2), 164–173. https://doi.org/10.59896/aqlu.v2i2.103

Issue

Vol. 2 No. 2 (2024): Juli 2024

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Articles

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Copyright (c) 2024 Nur Syam, Ilham Syata, Try Azisah Nurman, Risnawati Ibnas

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