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Diah Chaerani
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Jurnal Matematika Integratif
Published by Universitas Padjadjaran
ISSN : 14126184     EISSN : 25499033     DOI : http://doi.org/10.24198/jmi
Core Subject : Economy, Science, Engineering,
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mechanical Engineering Transportation
Jurnal Matematika Integratif (JMI) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in research. JMI received a manuscript in areas of study mathematics widely, and math-based multidisciplinary studies derived from outside problems of mathematics. All published articles in Jurnal Matematika Integratif are freely accessible in that website.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 202 Documents
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Struktur Aljabar untuk Barisan Kodon dari Asam Deoksiribonukleat (DNA) Hasan, Nabila Nurmala; Kurniadi, Edi; Gusriani, Nurul
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.67778.213-228

Abstract

This article discusses the algebraic structure of codon sequences as a representation of DNA nitrogen base sets in mathematical terms. The study aims to prove what algebraic structures are obtained for codon sequences from DNA bases. The methods used include qualitative research methods in the form of literature studies and quantitative research methods in the form of experiments on DNA base sets. In mathematical notation, the nitrogen bases of DNA can be collected in a set and connected into algebraic structures through a bijective mapping on the Galois field of order 4. This results in the set B being viewed as a Galois field of order 4. Additionally, DNA base triplets or codons can be represented in mathematical form. Furthermore, these codons are bijectively mapped onto the Galois field of order 64, so that the resulting algebraic structure is a field. The result of this study show that the codon sequences have an algebraic structure in the form of a one-dimensional vector space over the Galois field on the codon. For further research, the Lie structure in codon can be investigated through the construction of its Lie brackets, where this vector space is a necessary condition for Lie algebras.
Analisis Dinamik pada Model Matematika Penyebaran Kekerasan Seksual dengan Pendekatan Rehabilitasi dewi, baiq indah rukmana
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.66846.165-180

Abstract

Sexual violence is a serious issue occurring in various countries, necessitating special attention in its prevention and management. Mathematical modeling of sexual violence is crucial for understanding the dynamics of its spread and the impact of interventions on sexual violence cases. In this study, a four-dimensional nonlinear dynamic system model is used to analyze the stability of a sexual violence model considering the influence of rehabilitation. The basic reproduction number is calculated using the next-generation matrix method to estimate the potential spread of new cases caused by a single perpetrator in a vulnerable population. Analytically, there are two equilibrium points in the model: the sexual violence-free equilibrium point and the endemic sexual violence equilibrium point. Both equilibrium points are asymptotically stable, depending on the value of the basic reproduction number . The sexual violence-free equilibrium point is asymptotically stable under the condition , and the endemic sexual violence equilibrium point is asymptotically stable under the condition . Numerical simulations are conducted using the fourth-order Runge-Kutta method, implemented in MATLAB. The numerical simulation results also demonstrate that both equilibrium points exhibit the same stability properties based on the parameters used in this study.

Page 21 of 21 | Total Record : 202

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