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Maharani, Andika Ellena Saufika Hakim
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Journal : EIGEN MATHEMATICS JOURNAL

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Numerical Analysis of Mathematical Model for Diabetes Mellitus Disease by Using Adam-Bashfort Moulton Method Robbaniyyah, Nuzla Af’idatur; Salwa, Salwa; Maharani, Andika Ellena Saufika Hakim
Eigen Mathematics Journal Vol 7 No 2 (2024): December
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v7i2.245

Abstract

Diabetes mellitus is a metabolic disorder characterized by elevated blood glucose levels, known as hyperglycemia. The objective of this study is to develop a mathematical model of diabetes mellitus. The model will be analyzed in terms of its equilibrium points using the Adam-Bashforth Moulton numerical method. The numerical method that used is a multistep method. The predictor step employs the Runge-Kutta method, while the corrector step uses the Adam-Bashforth Moulton method. The mathematical model of diabetes mellitus is categorized into two classes: uncomplicated diabetes mellitus and complicated diabetes mellitus. The resulting model identifies two equilibrium points: the endemic equilibrium point (complicated) and the disease-free equilibrium point (uncomplicated). The eigenvalues of these equilibrium points are positive real numbers and negative real numbers. Therefore, the stability of the system is found to be unstable and asymptotically stable, indicating that the population of individuals with uncomplicated diabetes mellitus will continue to rise, whereas the population with complications will not increase significantly over time.
Co-Authors Abdurahim, Abdurahim Abdurrachman Rahim Adhamatika, Adhima Agus Kurnia ARI SUPARWANTO Azka, Dea Alvionita Cahyani, Ade Indah Fadillah, Muhammad Fatanaya, Nafika Hafidah, Nur Hamdi, Ahmadil Harsyiah, Lisa Helmina Andriani Hidayat, Malik Hidayatullah, Azka Farris Hisda, Laylatul Irwansyah Irwansyah Iswatun Hasanah Ivan Luthfi Ihwani, Ivan Luthfi Kusuma, Shendy Arya Lailia Awalushaumi Lailia Awalushaumi, Lailia Lalu Danu Prima Arzani Lestari, Natasya Dyahayu Lingga Gita Dwikasari, Lingga Gita Mamika Ujianita Romdhini, Mamika Ujianita Marwan Marwan Meida, Inka Nurul Muhammad Nizhar Naufali Muhammad Rijal Alfian Nurkhaliza WR, Siti Putri, Destiana Adinda PUTU MEIKAPASA, NI WAYAN Qurratul Aini Ramadhan, Hikmal Maulana Ratih, Wahyu Erinna Rio Satriyantara Risnawati Risnawati Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Sahrin, Laila Alfi Salwa Salwa Salwa Saofitri, Saofitri Sari, Baiq Nadia Ulfa Satryantara, Rio Setiandini, Gifani Putri Siti Raudhatul Kamali Syamsul Bahri Taufik Hidayat Tri Maryono Rusadi Wulan, Lalu Gede Damar Wulandari, Maelina Widia Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara