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All Journal Jurnal Daya Matematis EIGEN MATHEMATICS JOURNAL
Shaumi, Nurina Fadlila
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Mathematics

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Analysis of Diarrheal Disease Transmission in Bandung City Using the SIS Mathematical Model. Ulfa, Rezky Maya; Shaumi, Nurina Fadlila; Nuraini, Nuning
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 13, No 2 (2025): Juli
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v13i2.72375

Abstract

Diarrhea remains a public health issue in developing countries around the world. It is categorized as an environmentally-based disease and occurs in nearly all geographic regions globally. The purpose of this study is to apply mathematical modeling of the spread of diarrhea in Bandung City using the SIS model, then to model the relationship between the number of rivers and the quantity of E. coli in each district in Bandung City with the number of diarrhea cases, as well as to analyze the influence of river presence and E. coli quantity in each district on the number of diarrhea cases in Bandung City. The model development began by creating a flow diagram of the spread of diarrhea using the SIS model. The results revealed an equilibrium point, specifically the endemic equilibrium point. The basic reproduction ratio in each district showed values closely aligned with mortality rates, indicating that mortality rates from the disease could serve as a useful indicator for predicting transmission rates and the impact of diarrhea within the population. The higher the mortality rate, the lower the likelihood of disease transmission, and vice versa.
A Novel Approach to Topological Indices of the Power Graph Associated with the Dihedral Group of a Certain Order Syarifudin, Abdul Gazir; Santi, Laila Maya; Shaumi, Nurina Fadlila; Suwastika, Erma; Wardhana, I Gede Adhitya Wisnu
Eigen Mathematics Journal Vol 8 No 2 (2025): December
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i2.253

Abstract

Power graph of a group G, represented by \Gamma_G, is a graph where the vertex set consists of the elements of G. Two distinct vertices a, b \in G are connected by an edge if and only if there exists a positive integer m such that a^m = b or b^m = a. This study explores the utilization of a new approach to compute the topological indices of power graph associated with dihedral group with n=p^k, p is primes and k \in \mathbb{Z}. Results obtained indicate that the topological indices calculated using new approach yield the same values as those obtained with the conventional approach.
Co-Authors I Gede Adhitya Wisnu Wardhana Nuning Nuraini Santi, Laila Maya Suwastika, Erma Ulfa, Rezky Maya