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ON THE BEHAVIOR ANALYSIS OF SUSCEPTIBLE, INFECTION, RECOVERY (SIR) MEASLES SPREAD MODEL WITH AGE STRUCTURE Juhari, Juhari
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (602.069 KB) | DOI: 10.30598/barekengvol16iss2pp427-442

Abstract

This study discusses the behavior analysis model of the Susceptible-Infected-Recovered (SIR) epidemic of the spread of measles based on age structure. The total population is grouped into four age groups, the first age group (0-4 years), the second age group (5-9 years), the third age group (10-14 years), and the fourth age group (> 15 years). The steps in analyzing the behavior of the model can be done by determining the equilibrium point, basic reproduction number, and stability analysis at the equilibrium point. In the measles distribution model with four age groups, where each age group has no interaction with other age groups, sixteen equilibrium points are obtained, which are a combination of the disease-free equilibrium and endemic equilibrium points separately. The stability properties of each equilibrium point can be determined by the value of the basic reproduction number (R_0) which is the product of the basic reproduction number of each age group. The measles disease-free equilibrium point will be locally asymptotically stable when R_0<1, meanwhile the endemic equilibrium point is locally asymptotically stable when R_0>1. This research contributes to providing information to both the government and the public.
Reliable and Efficient Sentiment Analysis on IMDb with Logistic Regression Ulya, Diah Mariatul; Juhari, Juhari; Yuliana, Rossima Eva; Jamhuri, Mohammad
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.33809

Abstract

Understanding public opinion at scale is essential for modern media analytics. We present a reproducible, leakage-safe evaluation of logistic regression (LR) for binary sentiment classification on the IMDb Large Movie Review dataset and compare it with five widely used baselines: multinomial Naive Bayes, linear support vector machine (SVM), decision tree, k-nearest neighbors, and random forest. Using a standardized text pipeline (HTML stripping, stopword removal, WordNet lemmatization) with TF–IDF unigrams–bigrams and nested, stratified cross-validation, we assess threshold-dependent and threshold-independent performance, probability calibration, and computational efficiency. LR attains the best overall balance of quality and speed, achieving 88.98% accuracy and 89.13% F1, with strong ranking performance (OOF ROC–AUC ≈ 0.9568; PR–AUC ≈ 0.9554) and well-behaved calibration (Brier ≈ 0.0858). Training completes in seconds per fold and CPU inference reaches about 2.46×10^6 samples per second. While a calibrated linear SVM yields slightly higher precision, LR delivers higher F1 at markedly lower compute. These results establish LR as a robust, transparent baseline that remains competitive with more complex neural and ensemble approaches, offering a favorable performance–efficiency trade-off for practical deployment and reproducible research on IMDb sentiment classification.
Application of the Fractal Geometry in Development Surya Majapahit Batik Motif Juhari, Juhari; Pratiwi, Alfrista Anggraini
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.22811

Abstract

The Mandelbrot and Julia sets are generated through iterative mathematical functions applied to points in the complex plane. These operations enable the detailed and intricate patterns characteristic of these fractals, allowing for modifications and zooming to explore different regions of the sets. TThe Mojokerto Surya Majapahit batik motif is a motif that has eight corners. One way to develop a Mojokerto batik motif that is similar to Surya Majapahit is by applying the science of fractal geometry. Fractal geometry studies a fractal pattern that can change shape according to input parameters and the number of iterations carried out. This research was conducted to determine the application of Mandelbrot and Julia’s fractal geometry using geometric transformations to obtain batik motif variants that is similar to Surya Majapahit. There are three steps in forming this motif variant. First, generating Mandelbrot fractals and Julia fractals. Second, the patterns generated by Mandelbrot and Julia are applied using geometric transformations. The geometric transformations that will be used are rotation, dilation, and translation. Finally, these patterns will be modified by combining patterns implementing logic operations using Python computer applications. The results of this research obtained four variants of batik motif that is similar to Surya Majapahit. The difference in each variant lies in the order of transformation. Variant 1 and variant 3 can be carried out by changing the sequence of geometric transformations, namely rotation, translation and dilationVariant 1 is obtained by applying rotation, dilation, and translation to the Mandelbrot and Julia pattern. Variant 2 is obtained with the Mandelbrot pattern applying rotation, dilation with two different scales, and translation, while the Julia pattern only applied rotation and translation. Variant 3 is obtained by applying rotation, dilation and translation to the Mandelbrot and Julia pattern. Variant 4 is obtained with the Mandelbrot pattern applied by rotation, dilation with three different scales, and translation, while the Julia pattern was applied only by rotation and translation. Meanwhile variants 2 and 4 apply different rotations, dilation scales, namely 0.451 and 0.318, and translation to the Mandelbrot pattern.
Cross-Dataset Evaluation of Support Vector Machines: A Reproducible, Calibration-Aware Baseline for Tabular Classification Syafi'ah, Nurus; Jamhuri, Mohammad; Pranata, Farahnas Imaniyah; Kusumastuti, Ari; Juhari, Juhari; Pagalay, Usman; Khudzaifah, Muhammad
Jurnal Riset Mahasiswa Matematika Vol 4, No 6 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i6.33438

Abstract

Support Vector Machines (SVMs) remain competitive for small and medium-sized tabular classification problems, yet reported results on benchmark datasets vary widely due to inconsistent preprocessing, validation, and probability calibration. This paper presents a calibration-aware, cross-dataset benchmark that evaluates SVMs against classical baselines—Logistic Regression, Decision Tree, and Random Forest—under leakage-safe pipelines and statistically principled protocols. Using three representative binary datasets (Titanic survival, Pima Indians Diabetes, and UCI Heart Disease), we standardize imputation, encoding, scaling, and nested cross-validation to ensure comparability. Performance is assessed not only on discrimination metrics (accuracy, precision, recall, F1, PR--AUC) but also on probability reliability (Brier score, Expected Calibration Error) and threshold optimization. Results show that tuned RBF--SVMs consistently outperform Logistic Regression and Decision Trees, and perform comparably to Random Forests. Calibration (Platt scaling, isotonic regression) substantially reduces error and improves decision quality, while domain-specific features enhance Titanic prediction. By embedding all steps in a transparent, reproducible protocol and validating across multiple datasets, this study establishes a rigorous methodological baseline for SVMs in tabular binary classification, providing a reference point for future machine learning research.
Pemodelan Matematika Pada Kecanduan Alkohol Rasyidah, Jihan Fikri; Juhari, Juhari; Aziz, Abdul
Jurnal Riset Mahasiswa Matematika Vol 4, No 6 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i6.34690

Abstract

 Penelitian ini bertujuan untuk memodelkan dinamika kecanduan alkohol menggunakan pendekatan matematika dengan memodifikasi model SED (Susceptible-Exposed-Dependent) yang dikembangkan oleh Pérez Reyes (2020) dengan menambahkan kompartemen Recovery (R). Penambahan ini memungkinkan analisis yang lebih komprehensif tentang proses pemulihan dan potensi kekambuhan. Model dianalisis menggunakan transformasi proporsi populasi, analisis titik ekuilibrium, perhitungan bilangan reproduksi dasar, analisis sensitivitas parameter, dan simulasi numerik. Hasilnya menunjukkan bahwa nilai , menunjukkan bahwa sistem stabil secara asimtotik lokal pada titik ekuilibrium bebas kecanduan. Analisis sensitivitas menunjukkan bahwa parameter yang paling berpengaruh pada penyebaran kecanduan adalah tingkat interaksi antara individu yang rentan dan terpapar Simulasi numerik mendukung analisis teoritis dengan menunjukkan bahwa proporsi pecandu dan individu yang terpapar menurun seiring waktu, sementara proporsi individu yang rentan mendominasi dalam jangka panjang. Integrasi nilai-nilai Islam dalam penelitian ini memberikan pendekatan kontekstual terhadap pencegahan kecanduan alkohol di masyarakat.
Penerapan Algoritma Ant Colony pada Pendistribusian Barang Akhadah, Sisilia Firda Laila; Juhari, Juhari
Jurnal Riset Mahasiswa Matematika Vol 5, No 1 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v5i1.34852

Abstract

Ant Colony Optimization (ACO) is an algorithm used to solve optimization problems, inspired by the behavior of ant colonies in find of food sources. The main issue addressed in this study is how to implement the Ant Colony algorithm to determine the shortest route for goods distribution and to analyze the influence of the parameters α (pheromone intensity) and β (heuristic value) on the effectiveness of route search. This study used a simulation approach involving several delivery vehicles for building materials in Malang Raya. The testing was conducted using 33 delivery locations, which were then divided into five delivery clusters. The shortest routes generated by the algorithm were found to be more effective when compared to routes suggested by Google Maps. The results show that the implementation of the ACO algorithm significantly reduces travel distance, with an average effectiveness of 16.26% across the five vehicles that were tested. Parameter testing indicates that higher β values (β ≥ 5) significantly influence the search for the shortest route, while variation in α does not significantly affect the results. Thus, this study concludes that the ACO algorithm is effective in optimizing delivery routes, especially when employing the appropriate combination of parameters.
MODEL PENGENTASAN KEMISKINAN EKSTREM UNTUK PENCEGAHAN KESENJANGAN SOSIAL DI INDONESIA DALAM PERSPEKTIF SOSIOLOGI DAN HUKUM ISLAM Fauzi, Fauzi; mahmuddin, Mahmuddin; Juhari, Juhari; Amirulkamar, Said; Hidayati, Ummunisa
Al-Risalah Vol 23 No 2 (2023): December 2023
Publisher : Fakultas Syariah UIN Sulthan Thaha Saifuddin Jambi, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30631/alrisalah.v23i2.1429

Abstract

Abstract: Poverty alleviation and social inequality in Indonesia is a very complex issue overall in various regions in Indonesia Extreme poverty alleviation refers to deliberate efforts aimed at reducing or eliminating extreme poverty, which relates to circumstances in which individuals or households live below the poverty line is so small that they cannot meet their basic needs to survive. This study aims to analyze the extreme poverty alleviation model to prevent social inequality in Indonesia from the perspective of Islamic sociology and law and focuses on reviewing these problems through the perspective of sociology and Islamic law. The qualitative research method is descriptive. Source of data obtained through the official website, mass media, journals, regulations, and books. The data analysis technique uses the Nvivo 12 plus analysis technique which uses the crosstab feature. The results of the study show that the extreme poverty alleviation model that is applied is budgeting and collaboration. Poverty alleviation to prevent social inequality in Indonesia has been carried out by the Government of Indonesia to reduce the poverty rate to 0 percent in the following year. Poverty alleviation in Indonesia through the budgeting system requires the implementation of well-structured and sustainable strategies. Budgeting and collaboration between government and society play an important role in allocating appropriate resources for initiatives and policies aimed at reducing or eliminating extreme poverty. Keywords: Poverty Alleviation, Social Inequality, Sociology, Islamic Law.
Dynamic Analysis of the Susceptible-Exposed-Infected-Hospitalized-Critical-Recovered-Dead (SEIHCRD) Juhari, Juhari; Kurnia, Silvi
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.22812

Abstract

This study discusses the dynamic analysis of the Susceptible–Exposed–Infected–Hospitalized–Critical–Recovered–Dead (SEIHCRD) model using the fourth order Runge-Kutta method. The data used in this study is original data on Infected, Hospitalized and Critical cases in Indonesia from August to October 2021. Dynamic analysis of the model is carried out by determining disease-free and endemic equilibrium points, local stability analysis of disease-free and endemic equilibrium points, and determine the basic reproduction number. The result of this analysis is that the number of new infection cases in Indonesia will decrease over time and the COVID-19 outbreak will end. Then a numerical simulation was carried out using the fourth order Runge-Kutta method in dealing with COVID-19 cases in Indonesia. The simulations and calculations show that the rate of contact of susceptible individuals with infected individuals is 0.06 per day, the rate of movement of individuals in the Exposed class to the Infected class is 0.14 per day, the probability of infected individuals being hospitalized with a value of 0.95, the probability that COVID-19 patients become critical and enter the Intensive Care Unit (ICU) with a value of 0.485, and the probability of a critical patient dying with a value of 0.25 affects the slope of Infected, Hospitalized and Critical cases in Indonesia. Where Infected cases will be sloping with an absolute error value of 28%, Hospitalized cases with an absolute error value of 20% and Critical cases with an absolute error value of 33%. This research provides information that it is estimated that the daily infection cases of COVID-19 will decrease and be close to zero. So that infected patients who must be hospitalized and admitted to the Intensive Care Unit (ICU) are also decreasing, it is hoped that the COVID-19 pandemic will not happen again
Dynamical Analysis of Modified Mathematical Model of Social Media Addiction Juhari, Juhari; Fikrina, Zulfa Akfi; Alisah, Evawati; Sujarwo, Imam
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 2 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i2.29225

Abstract

In this study, there is no division between addiction in the mild and severe stages. Therefore, it is necessary to divide the stages of addiction because the healing is clearly different. Therefore, in this study, a modified dynamic analysis of the Social Media addiction model is carried out to obtain a valid model that can be implemented in real life. This study aims to find the stability of changes in the Addicted variable which is divided into two, namely Social Media addiction in the mild stage and Social Media addiction in the severe stage  There are six models that have been modified in this study, namely, individuals who do not have Social Media but are vulnerable to addiction , individuals who have Social Media but are not yet at the addiction stage , individuals infected with Social Media addiction in the mild stage , individuals infected with Social Media addiction in the severe stage , individuals who are recovering from Social Media addiction , individuals who are completely recovered from Social Media addiction . The steps of dynamic analysis include determining the equilibrium point, analyzing the stability of the equilibrium point, finding the basic reproduction number, numerical simulation of all variables. The results showed that the population of individuals infected with Social Media addiction in the mild stage  was at a value of 1.6112 with t = 4 years while the population of individuals infected with Social Media addiction in the severe stage  was at a value of 36.542 with t = 4 years. This study provides information that the dynamic analysis carried out on the modified mathematical model of Social Media addiction shows a stable condition.
Assessment of Post-Disaster Building Damage Levels Using Back-Propagation Neural Network Prediction Techniques Wibowo Almais, Agung Teguh; Fajrin, Rahma Annisa; Naba, Agus; Sarosa, Moechammad; Juhari, Juhari; Susilo, Adi
JOIV : International Journal on Informatics Visualization Vol 9, No 3 (2025)
Publisher : Society of Visual Informatics

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62527/joiv.9.3.2711

Abstract

Indonesia is susceptible to natural disasters, with its geographical location being one of the contributing factors. To mitigate the harmful effects of natural catastrophes, a disaster emergency response must be undertaken, consisting of steps taken immediately following the event. These operations include rescuing and evacuating victims and property, addressing basic needs, providing protection, and restoring buildings and infrastructure. Accurate data is required for adequate recovery after a disaster. The Badan Penanggulangan Bencana Daerah (BPBD) oversaw disaster relief efforts, but faulty damage assessments slowed restoration. Surveyor subjectivity and differing criteria result in discrepancies between reported damage and reality, generating issues during the post-disaster reconstruction. The objective of this study is to develop a prediction system to measure the extent of damage caused by natural disasters to buildings. The five criteria that decide the level of building damage after a disaster are building conditions, building structure condition, physical condition of severely damaged buildings, building function, and other supporting conditions. The data used are from the BPBD of Malang city from 2019 to 2023. This system would allow surveyors to make speedy and objective evaluations. Five different models were tested using the Neural Network Backpropagation approach. Model A2 produces the highest accuracy of 93.81%. A2 uses a 40-38-36-34 hidden layer pattern, 1000 epochs, and a learning rate 0.1. These findings can lay the groundwork for advanced prediction models in post-disaster building damage evaluation research.
Co-Authors A Rosa, Ramadani Abdul Aziz Adi Susilo Aditya, M. Ircham Adriani, Nurita Agung Teguh Wibowo Almais Agus Naba Akbar, Rizqi Ardika Akhadah, Sisilia Firda Laila Alghar, Muhammad Zia Alianda W, Najwa Andrean, Mohamad Febry Ardiansyah, Zidni Permana Ari Kusumastuti Arif, Weldy Az-Zahra, Aisyah Dhifa Dilla, Diva Fara DWI ANDREAS SANTOSA Dwi N, M. Zaky Erna Herawati, Erna Erny Octafiatiningsih, Erny Evawati Alisah Fajrin, Rahma Annisa Fatin Dzahabiy, Amirah Salsabila Syahirah Fauzi Fauzi Feby Ariyanti, Adelia Irma Fibrianto, Ary Fikrina, Zulfa Akfi Habibi, Khairul Hairur Rahman Hakim , Zainal Hasanah, Sofiatul Hidayati, Ummunisa Holanda, Sella Husna, Faridatul Imam Sujarwo Iskandar Iskandar Karinina, Olivia Kiswari, Dianing Kurnia, Silvi Kurniawan, Rony Setyo Lestari, Wahyu Tri Mahmuddin Mahmuddin Marzuki, Ahmed Syarief Meyliana, Ester Moechammad Sarosa Mohammad Isa Irawan Mohammad Jamhuri Mohammad Nafie Jauhari Mondal, Kartick Chandra Muhammad Khudzaifah Muis, Muhammad Abdul Mulyadi Mulyadi Nasichuddin, Achmad Nasir, Yusran Nur’azkia R, Nazwa Permata, Hendrik Widya Pranata, Farahnas Imaniyah Pratiwi, Alfrista Anggraini Puji Wianto, Wildan Faried Anshoriy Putri, Inanda Rachmawati, Mila Rahmadhani, Anis Putri Rasyidah, Jihan Fikri Reza, M. Aulia Ria Dhea Layla Nur Karisma Rika Dina Amalia, Dina Amalia Rossi Maunofa Widayat RR. Ella Evrita Hestiandari Safitri, Alisa Ayu Said Amirulkamar Sari, Fitri Nofita Sari, Silvi Puspita shidieq, faris majdie Siti Amiroch, Siti Sofia, Wise Ahmad Sri Harini Sukroni, Achmad Faiz Sutrisno, Sutrisno Syafi'ah, Nurus Taufik Iskandar Triyono, Gandung Tunggal Saputra, Tri Aji Turmudi Ulung Pribadi, Ulung Ulya, Diah Mariatul Usman Pagalay Utami, Febry Noorfitriana Vivi Aida Fitria Wahyuni, Diah Maghfiroh Yuliana, Rossima Eva Yuri Is, Manaf Zakariya, Husni Zufriady, Zufriady