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All Journal Imajiner: Jurnal Matematika dan Pendidikan Matematika Jambura Journal of Biomathematics (JJBM)
Ahkrizal, Afdhal
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Computer Science & IT Decision Sciences, Operations Research & Management 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.
Dynamics System in the SEIR-SI Model of the Spread of Malaria with Recurrence Ahkrizal, Afdhal; Jaharuddin, Jaharuddin; Nugrahani, Endar H.
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18754

Abstract

Mathematical model is used to describe the dynamics of the spread of malaria in human and mosquito populations. The model used is the SEIR-SI model. This study discusses the stability of the equilibrium point, parameter sensitivity, and numerical simulation of the spread of malaria. The analysis shows that the model has two equilibrium points, namely the disease-free and endemic equilibrium points, each of which is locally asymptotically stable. Numerical simulations show that the occurrence of disease cure in exposed humans causes the rate of malaria spread to decrease. Meanwhile, the presence of disease recurrence causes the spread of malaria to increase.
Co-Authors Hasibuan, Hokkop Efendi Jaharuddin Nugrahani, Endar H. Saragih, Sisca Sri Dewi Tarigan, Lola Zeramenda Br