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All Journal Imajiner: Jurnal Matematika dan Pendidikan Matematika
Hasibuan, Hokkop Efendi
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Education Languange, Linguistic, Communication & Media Mathematics Other

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Pemodelan Matematika Tipe S1S2E1E2I1I2T Pada Diabetes Melitus Tipe 2 Dengan Mempertimbangkan Treatment Yang Diakibatkan Adanya Pengaruh Obesitas Saragih, Sisca Sri Dewi; Tarigan, Lola Zeramenda Br; Ahkrizal, Afdhal; Hasibuan, Hokkop Efendi
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 7, No 4 (2025): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v7i4.23552

Abstract

Diabetes Mellitus Type 2 is one of the largest contributors to the world of health in non-communicable diseases in Indonesia. Many people are affected either because of genetic obesity or obesity due to food. Mathematical modeling is one way to visualize the development and spread of Type 2 diabetes mellitus. The model used in this study is S1S2E1E2I1I2T and its stability will be seen. The article discusses the stability of fixed points using the Jacobian matrix and the Routh-Hurwitz criteria as well as the Castilo-Chaves and Song Theorem, reproduction numbers, and their numerical analysis.
Co-Authors Ahkrizal, Afdhal Saragih, Sisca Sri Dewi Tarigan, Lola Zeramenda Br