Main Article Content

Abstract

This research is applied research to determine the numerical solution for the SIPAS mathematical model for the spread of monkey business practices using the Adams-Bashforth-Moulton method. The epidemic model for the spread of monkey business practices is susceptible, infected, practiced, and awareness (SIPAS). The discussion begins by determining the initial solution using the fifth order Runge-Kutta method, prediction and correction values using the Adams-Bashforth-Moulton method, simulation and analysis of the results. In this research, it was found that the Adams-Bashforth- Moulton method predicts an increase in the population who know a viral business and become vulnerable(S) due to the number of residents who know a viral business and the population who are aware of the dangers of monkey business practices. Meanwhile, the population that is interested (I), practiced (P) and awareness (A), on the other hand, has decreased and disappeared completely due to a population that has stopped following a viral business and is aware of the dangers of monkey business practices. After carrying out simulations and analyzing the results, it can be seen that the Adams-Bashforth-Moulton method can be used to determine the numerical solution for the SIPAS mathematical model for the spread of monkey business practices.

Keywords

Adams-Bashforth- Moulton Method, Monkey Business, Numerical Solution, Runge-Kutta Method, SIPAS Model

Article Details

References

  1. [1] Syam, R., Side, S., & Said, C. S. (2020). Model SEIRS Penyebaran Penyakit Tuberkulosis di Kota Makassar. Journal of Mathematics, Computations, and Statistics, 3(1), 11-19. http://eprints.unm.ac.id/32606/1/III.A.B.4.12.%202020_April_JMatCos_Penulis1_Mod elSEIRSPenyebaranPenyakitTuberkulosis.pdf
  2. [2] Ndii, M. 2019. Pemodelan Matematika Dinamika Populasi dan Penyebaran Penyakit: Teori, Aplikasi, dan Numerik. Penerbit NEM. (PDF) Pemodelan Matematika Dinamika Populasi dan Penyebaran Penyakit: Teori, Aplikasi, dan Numerik (researchgate.net)
  3. [3] Haya, A. F. 2022. Solusi Numerik Model SEIR Pada Penyebaran Penyakit Covid-19 Di Sulawesi Barat Dengan Menggunakan Metode Runge-Kutta Orde Empat. Skripsi, UIN Alauddin Makassar. http://repositori.uin-alauddin.ac.id/id/eprint/23088
  4. [4] Apriadi, B. P., & Noviani, E. (2014). Metode Adams-Bashforth-Moulton dalam Penyelesaian Persamaan Diferensial NonLinear. Bimaster: Buletin Ilmiah Matematika, Statistika dan Terapannya,3(02)https://jurnal.untan.ac.id/index.php/jbmstr/article/viewFile/6561/6792
  5. [5] Kuzairi, K., Yulianto, T., & Safitri, L. 2016. Aplikasi Metode Adams Bashforth-Moulton (Abm) Pada Model Penyakit Kanker. J Mat MANTIK, 2, 14–21. https://core.ac.uk/download/pdf /235583558.pdf
  6. [6] Mansur, A. 2016. Analisa Hukum Islam Terhadap Praktik Monkey Business pada Jual Beli Batu Akik di Jalan Siberut Kelurahan Banyudono Kabupaten Ponorogo. Disertasi, IAIN Ponorogo. http://etheses.iainponorogo.ac.id/id/eprint/2365
  7. [7] Beny, B. F. H. 2020. Praktik Monkey Business Pada Bisnis Tanaman Hias Dalam Perspektif Ekonomi Islam (Studi Kasus Desa Tanjung Rejo Kecamatan Pulaupanggung Kabupaten Tanggamus). Skripsi, UIN Raden Intan Lampung.
  8. [8] Adinugraha, H. H. 2021. Monkey Business Practices on The Selling of “Janda Bolong” Plants in Indonesia: A Review of Islamic Economic Philosophy. Tawazun: Journal of Sharia Economic Law, 4(2), 141-156. http://dx.doi.org/10.21043/tawazun.v4i1.10144
  9. [9] Iqbal, M. 2022. Analisis Model Matematika Sipas Dan Strategi Penerapan Penyuluhan Terhadap Bahaya Praktik Monkey Business di Kota Makassar.Thesis. Makassar: Universitas Negeri Makassar.
  10. [10] Side, S., Syahirah, N., & SAP, A. M. R. Y. 2023. Solusi Numerik Model SIRV Penyebaran Covid-19 dengan Menggunakan Metode Runge-Kutta di Kabupaten Pinrang. Jurnal Matematika dan Statistika serta Aplikasinya, 11(2), 1-6. https://doi.org/10.24252/msa.v11i2.34791
  11. [11] Side, S., Rasyidah, A., & Sanusi, W. Analisis dan Solusi Numerik Model Matematika pada Penyebaran Covid-19 di Provinsi Sulawesi Selatan dengan Metode Runge Kutta dan Adams-Bashforth-Moulton. SAINTIFIK: Jurnal Matematika,
  12. [12] Chapra, Steven C. and Canale, Raymond P. 2010. Numerical Methods for Engineers.McGraw-HillCompanies.NewYork https://drive.google.com/file/d/1h0TOgQN1b5EcnHyENeZiWUgfq4cSiOtM/view
  13. [13] Sugiyarto. 2014. Persamaan Diferensial dilengkapi Contoh Penyelesaian Masalah untuk Umum dan Mahasiswa. Yogyakarta: Binafsi Publisher. PERSAMAAN DIFERENSIAL: Dilengkapi contoh penyelesaian masalah | Poltekad Library
  14. [14] Subandi, A. 2019. Aljabar dan Kalkulus. Bandung: Rekayasa sains. Aljabar dan Kalkulus |UPA PERPUSTAKAAN INSTITUT TEKNOLOGI SUMATERA (itera.ac.id)
  15. [15] Ramadhan, N.R. 2020. Perbandingan Akurasi Metode Runge Kutta Orde Empat dan Metode Runge Kutta Orde Lima pada Kasus Penularan Tuberculosis. Thesis. Makassar. Universitas Negeri Makassar Sains, dan Pembelajarannya.https://jurnal.unsulbar.ac.id/index.php/saintifik/article/download/391/219/