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INDONESIA
Jurnal Matematika UNAND
Published by Universitas Andalas
ISSN : 2303291X     EISSN : 27219410     DOI : -
Core Subject : Science, Education,
Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori Peluang.
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Articles 883 Documents
ON N-SOFT HYPERGRAPH Luthfi Hadiyan Fajri; Yanita Yanita; Admi Nazra; Monika Rianti Helmi
Jurnal Matematika UNAND Vol. 15 No. 3 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.3.418-426.2026

Abstract

In this paper we explore the notion of N-soft hypergraphs, which is an hybridization of N-soft set and hypergraph. Next, we define strong N-soft hypergraphs, and induced complete N-soft hypergraphs. We present the definitions of some of their unary operations and examine their properties. Then, we give illustration on how N-soft hypergraph will be applied in portray real-life problem.
THE MOORE–PENROSE INVERSE OF SYMMETRIC MATRICES WITH EQUITABLE PARTITIONS AND DIVISOR MATRICES Desi Lira Antika; Yanita Yanita; Monika Rianti Helmi
Jurnal Matematika UNAND Vol. 15 No. 3 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.3.427-435.2026

Abstract

A balanced partitioned symmetric matrix is a matrix that has partition blocks that have the same average number of rows and columns. The sum of these average rows and columns is then arranged into a matrix, which is called the divisor matrix. The purpose of this paper is to analyze the relationship between the Moore-Penrose inverse divisor matrix of a balanced partitioned symmetric matrix A and the Moore-Penrose inverse divisor matrix of A. Furthermore, it is obtained that the divisor matrix of the Moore-Penrose inverse of matrix A is the same as the Moore-Penrose inverse of the divisor matrix of A.
A MATHEMATICAL MODEL SEABRQ WITH OPTIMAL CONTROL FOR SOCIAL MEDIA ADDICTION INCORPORATING COGNITIVE DYSREGULATION EVA SALSABILA; Yudi Ari Adi
Jurnal Matematika UNAND Vol. 15 No. 3 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.3.388-405.2026

Abstract

This study proposes a SEABRQ compartmental model to analyze social media addiction transmission and its cognitive consequences, referred to as cognitive dysregulation or 'brain rot.' The total population is partitioned into six compartments: Susceptible (S), Engaged (E), Addicted (A), Cognitively Dysregulated (B), Regulated (R), and Quit (Q). $R_0$ is computed using the next-generation matrix approach, and local asymptotic stability of both equilibrium points is established analytically. Sensitivity analysis identifies transmission rate and contact rate as the parameters most strongly amplifying $R_0$. An optimal control framework is incorporated into the model with two time-dependent control variables: $u_1(t)$, representing preventive and early regulation interventions targeting susceptible and engaged populations, and $u_2(t)$, representing treatment and behavioral support directed at addicted and cognitively dysregulated individuals. The optimal control problem is solved by applying Pontryagin’s Maximum Principle. Numerical simulations using the fourth-order Runge-Kutta method demonstrate that the combined application of both controls produces the most significant reduction in social media addiction persistence and its cognitive dysregulation effects over a five-year horizon.