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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan Communication in Biomathematical Sciences Limits: Journal of Mathematics and Its Applications Jambura Journal of Mathematics MONSU'ANI TANO Jurnal Pengabdian Masyarakat Jurnal Matematika UNAND Contemporary Mathematics and Applications (ConMathA) Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial MATHunesa: Jurnal Ilmiah Matematika Jurnal Pengabdian Papua Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Journal of Mathematics, Computation and Statistics (JMATHCOS)
Hasan S. Panigoro
Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Implementation of K-Nearest Neighbor Algorithm on Density-Based Spatial Clustering Application with Noise Method on Stunting Clustering Friansyah Gani; Hasan S. Panigoro; Sri Lestari Mahmud; Emli Rahmi; Salmun K. Nasib; La Ode Nashar
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.16278

Abstract

This paper studies the implementation of the K-Nearest Neighbor (KNN) algorithm on Density-Based Spatial Clustering Application with Noise (DBSCAN) method on stunting Clustering in the eastern region of Indonesia in 2022. The DBSCAN method is used because it is more efficient to perform the Clustering process for irregular Clustering shapes. The main objective of this study is to apply the KNN algorithm to the DBSCAN Clustering technique in 161 Districts/Cities in 11 provinces in eastern Indonesia. A comparison of the performance evaluation of the DBSCAN Clustering technique is done by considering the value of the Silhouette score, BetaCV score, and Davies-Bouldin score indicating the quality of the Clusters formed with the lowest results scores of 0.67 and 1.84 with epsilon value = 3.4 and minimum point value = 2 resulting in 4 Clusters. The results of Clustering 161 Districts and Cities based on the factors that cause stunting formed 4 Clusters where Cluster 0 consists of 119 Districts and Cities with very high stunting characteristics, Cluster 1 consists of 3 Districts and Cities with high stunting characteristics, the results of Cluster 2 consist of 2 Districts and Cities with low stunting characteristics, then the results of Cluster 2 consist of 2 Districts and Cities with low stunting characteristics and Cluster 3 consists of 2 Cities with very low stunting characteristics.
UNRAVELING THE IMPACT OF THE MEMORY, THE COMPETITION, AND THE LINEAR HARVESTING ON A LOTKA-VOLTERRA MODEL PANIGORO, HASAN S.; RAHMI, EMLI; SAVITRI, DIAN; BEAY, LAZARUS KALVEIN
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.257-269.2024

Abstract

The harvesting of population has a dominant influence in balancing the ecosystem. In this manuscript, the impact of harvesting in addition to competition, and memory effect on a prey-predator interaction following the Lotka-Volterra model is studied. The mathematical validation is provided by proofing that all solutions of the model are always exist, non-negative, and bounded. Obeying Matignon condition, Lyapunov function, and generalized LaSalle invariance principle, the local and global stability are investigated. To complete the analytical results, some numerical simulations are given to show the occurrence of forward bifurcation and the impact of the memory index. All results state that three possible circumstances may occur namely the extinction of both populations, the prey-only population, and the co-existence of both populations.
TINDAKAN PREVENTIF STUNTING MELALUI PEMBERDAYAAN MASYARAKAT KELURAHAN PILOLODAA Arifin, Yayu Indriati; Sahami, Femy Mahmud; Panigoro, Hasan S.; Rauf, Jayanti
MONSU'ANI TANO Jurnal Pengabdian Masyarakat Vol. 8 No. 1 (2025)
Publisher : Universitas Muhammadiyah Luwuk

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32529/tano.v8i1.3556

Abstract

Angka stunting di kelurahan Pilolodaa kota Gorontalo termasuk tinggi, hal ini disebabkan oleh beberapa hal seperti kurangnya pengetahuan gizi seimbang dan terbatasnya kapasitas kader posyandu dan kurangnya angka partisipasi mayarakat. Oleh karena itu melalui program pengabdian masyarakat ini dilaksanakan di Kelurahan Pilolodaa, Gorontalo, dengan tujuan utama mengurangi angka stunting melalui pendekatan pemberdayaan masyarakat. Program ini melibatkan berbagai kegiatan, termasuk pelatihan kader posyandu, sosialisasi tentang stunting dan gizi, serta pemberian makanan tambahan (PMT) bagi anak-anak yang berisiko stunting. Hasil kegiatan menunjukkan adanya peningkatan pengetahuan masyarakat mengenai stunting dan gizi, serta perubahan perilaku dalam hal pola makan keluarga. Selain itu, program ini juga berhasil meningkatkan kapasitas kader posyandu dalam memantau kesehatan anak secara mandiri. Program ini menegaskan pentingnya partisipasi aktif masyarakat dan kolaborasi antara masyarakat, tenaga kesehatan, serta pemerintah dalam upaya pencegahan stunting secara berkelanjutan.
UNRAVELING THE IMPACT OF THE MEMORY, THE COMPETITION, AND THE LINEAR HARVESTING ON A LOTKA-VOLTERRA MODEL PANIGORO, HASAN S.; RAHMI, EMLI; SAVITRI, DIAN; BEAY, LAZARUS KALVEIN
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.257-269.2024

Abstract

The harvesting of population has a dominant influence in balancing the ecosystem. In this manuscript, the impact of harvesting in addition to competition, and memory effect on a prey-predator interaction following the Lotka-Volterra model is studied. The mathematical validation is provided by proofing that all solutions of the model are always exist, non-negative, and bounded. Obeying Matignon condition, Lyapunov function, and generalized LaSalle invariance principle, the local and global stability are investigated. To complete the analytical results, some numerical simulations are given to show the occurrence of forward bifurcation and the impact of the memory index. All results state that three possible circumstances may occur namely the extinction of both populations, the prey-only population, and the co-existence of both populations.
ANALISIS SENTIMEN TWITTER TERHADAP NYAMUK WOLBACHIA MENGGUNAKAN METODE LSTM DENGAN PENDEKATAN NLTK Lakoro, Tiara; K. Nasib, Salmun; Imansyah Yahya, Nisky; S. Panigoro, Hasan; Nurmardia Abdussamad, Siti
Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 6 No. 2 (2025): Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Cahaya Ilmu Bangsa Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.3483/trigonometri.v6i2.12266

Abstract

Dengue Hemorrhagic Fever (DHF) is one of the major health issues in Indonesia. One of the preventive measures is the Wolbachia mosquito program. However, the implementation of this program has sparked various reactions from the public, which can be observed through social media, particularly Twitter. This study aims to analyze public sentiment towards Wolbachia mosquitoes using the Long Short-Term Memory (LSTM) method and the Natural Language Toolkit (NLTK) approach. Data was collected through a crawling process from Twitter using keywords related to "Wolbachia mosquitoes." Preprocessing was then carried out using NLTK, including tokenization, stopword removal, and stemming. The data was manually labeled into positive, negative, and neutral sentiment categories. The LSTM model was used for sentiment classification with the best parameters, including 100 neurons, a learning rate of 0.001, a sigmoid activation function, a batch size of 32, and 7 epochs. The results indicate that the LSTM model used was able to classify sentiment with an accuracy of 95%, precision of 94%, recall of 97%, and an F1-score of 95%. This demonstrates that the LSTM method with the NLTK approach is effective in analyzing public sentiment towards
Mathematical Modeling on the Transmission Dynamics of Diphtheria with Optimal Control Strategies Oguntolu, Festus Abiodun; Peter, Olumuyiwa James; Omede, Benjamin Idoko; Balogun, Ghaniyyat Bolanle; Ajiboye, Aminat Olabisi; Panigoro, Hasan S.
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 1: March 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i1.29716

Abstract

Diphtheria is an acute bacterial infection caused by Corynebacterium diphtheriae, characterized by the formation of a pseudo-membrane in the throat, which can lead to airway obstruction and systemic complications. Despite the availability of effective vaccines, diphtheria remains a significant public health concern in many regions, particularly in areas with low immunization coverage. In this study, we formulated and rigorously analyzed a deter ministic epidemiological mathematical model to gain insight into the transmission dynamics of Diphtheria infection, incorporating the concentration of Corynebacterium Diphtheriae in the environment. The analysis of the model begins with the computation of the basic reproduction number and the examination of the local stability of the disease-free equilibrium using the Routh-Hurwitz criterion. An in-depth analysis of the model reveals that the model undergoes the phenomenon of backward bifurcation. This characteristic poses significant hurdles in effectively controlling Diph theria infection within the population. However, under the assumption of no re-infection of Diphtheria infection after recovery, the disease-free equilibrium point is globally asymptotically stable whenever the basic reproduction num ber is less than one. Furthermore, the sensitivity analysis of the basic reproduction number was carried out in order to determine the impact of each of the model basic parameters that contribute to the transmission of the disease. Utilizing the optimal control theory to effectively curb the spread of Diphtheria, We introduced two time dependent control measures, to mitigate the spread of Diphtheria. These time dependent control measures represent preventive actions, such as public enlightenment campaign to sensitize and educate the general public on the dynamics of Diph theria and proper personal hygiene which includes regular washing of hands to prevent susceptible individuals from acquiring Diphtheria, and environmental sanitation practices such as cleaning of surfaces and door handle to reduced the concentration of Corynebacterium diphtheriae in the environment. The results from the numerical simulations reveal that Diphtheria infection can successfully be controlled and mitigated within the population if we can increase the vaccination rate and the decay rate of Corynebacterium Diphtheriae in the environment, as well as properly and effectively implementing these optimal control measures simultaneously.
Optimasi Persediaan Beras menggunakan Integer Linear Programming untuk Mengatasi Ketidakpastian Pasokan Studi Kasus Bulog Gorontalo Daud, Sriwati M.; Panigoro, Hasan S.; Arsal, Armayani; Wungguli, Djihad
Jurnal Sains Matematika dan Statistika Vol 11, No 2 (2025): JSMS Juli 2025
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24014/jsms.v11i2.36254

Abstract

Abstrak                                                                                                  Perum BULOG Gorontalo berperan dalam penyediaan beras untuk menjamin ketahanan pangan. Penelitian ini bertujuan untuk mengoptimalkan biaya persediaan yang meliputi pemesanan dan penyimpanan beras guna menghindari kelebihan stok yang meningkatkan biaya, dengan mempertimbangkan penyediaan pasokan. Metode yang digunakan adalah Integer Linear Programming (ILP) untuk menentukan keputusan pemesanan dan penyimpanan yang optimal, serta analisis sensitivitas untuk mentransmisikan perubahan parameter dampak terhadap solusi optimal. Hasil optimasi menunjukkan bahwa pendekatan ILP berhasil menurunkan biaya persediaan sebesar 17,6% per tahun, dari Rp 208.423.972 menjadi Rp 171.813.600. Analisis sensitivitas mengungkap bahwa perubahan permintaan dan pasokan pasokan sebesar 10% dapat menyebabkan solusi optimal menjadi tidak layak, sementara perubahan kapasitas pasokan dan biaya pembelian memiliki dampak yang lebih fleksibel terhadap hasil optimasi. Kata Kunci: Optimasi, Persediaan, Integer Linear Programming, Analisis Sensitivitas. Abstrak Perum BULOG Gorontalo memegang peranan penting dalam penyediaan beras untuk menjamin ketahanan pangan. Penelitian ini bertujuan untuk mengoptimalkan pemesanan dan penyimpanan beras guna mencegah terjadinya kelebihan stok yang dapat meningkatkan biaya, dengan mempertimbangkan ketidakpastian pasokan. Metode yang digunakan adalah Integer Linear Programming (ILP) untuk menentukan keputusan pemesanan dan penyimpanan yang optimal, serta analisis sensitivitas untuk mengevaluasi dampak perubahan parameter terhadap solusi optimal. Hasil optimasi menunjukkan bahwa pendekatan ILP berhasil menurunkan biaya persediaan sebesar 17,6% per tahun, dari Rp208.423.972 menjadi Rp171.813.600. Analisis sensitivitas menunjukkan bahwa perubahan ketidakpastian permintaan dan pasokan sebesar 10% dapat membuat solusi optimal tidak dapat dilaksanakan, sedangkan perubahan kapasitas pasokan dan biaya pembelian memiliki dampak yang lebih fleksibel terhadap hasil optimasi. Kata Kunci : Persediaan, Optimasi, Integer Linear Programming, Analisis Sensitivitas.
KOMBINASI ALGORITMA KRIPTOGRAFI RC6 DAN STEGANOGRAFI LSB UNTUK PENGAMANAN PESAN TEKS Kai, Ferawati; Nuha, Agusyarif Rezka; Asriadi, Asriadi; Panigoro, Hasan S.; Yahya, Nisky Imansyah; Arsal, Armayani
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The rapid advancement of technology has led to various types of technological crimes. One solution to secure messages is by using cryptographic and steganographic techniques. This research combined the Rivest Code 6 (RC6) cryptographic algorithm and the Least Significant Bit (LSB) steganographic algorithm to enhance message security. The study analyzed changes in an image embedded with a message and sent through applications such a WhatsApp, Telegram, and E-mail. The final result show that the image embedded with the message does not undergo significant changes. However, stego images sent directly via WhatsApp and Telegram experience size alterations, which cause the embedded messages to become corrupted. Meanwhile, stego images sent as documents retain their size, allowing the message to remain intact. Additionally, stego images sent via E-mail, either as attachments or directly, do not experience size changes, and the embedded messages can be fully retrieved.
Application of Complex Numbers to Prove Several Theorems in Plane Geometry Lamuda, Zulfatra; Asriadi, Asriadi; Panigoro, Hasan S.
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9273

Abstract

Geometry is a branch of mathematics that focuses on studying the characteristics of flat and spatial structures. One of the most well-known standard flat structures is the circle. Additionally, there are triangles formed by the intersection of three line segments. This study discusses the proofs of two theorems related to circles and triangles: the radius of the circumcircle of a triangle and Heron’s theorem. Heron’s theorem is used to determine the area of an arbitrary triangle. Unlike the conventional synthetic geometry approach, this article employs an alternative method, namely complex numbers, to prove these two central theorems.
DYNAMICS OF A PREY-PREDATOR MODEL WITH ALLEE EFFECTS AND HOLLING TYPE IV FUNCTIONAL RESPONSE: LOCAL STABILITY AND NUMERICAL EXPLORATION OF BIFURCATIONS Resmawan, Resmawan; Suryanto, Agus; Darti, Isnani; Panigoro, Hasan S.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2891-2906

Abstract

This study presents a prey-predator model incorporating the Allee effect and Holling Type IV Functional Response. The model identifies three equilibrium points: the zero-equilibrium, the predator extinction equilibrium, and the positive equilibrium. Under specific conditions, all these points exhibit local asymptotic stability. The Allee effect is an important factor in determining the stability of the equilibrium point. A weak Allee effect can destabilize the zero-equilibrium point, while a strong Allee effect ensures its local asymptotic stability, potentially leading to the extinction of both species. Additionally, forward and Hopf bifurcation under weak Allee conditions occur at the predator extinction equilibrium point. In contrast, a strong Allee effect may cause bistability between the zero-equilibrium and predator extinction equilibrium points. This evidence suggests that prey can survive without predators; however, a strong Allee effect might result in prey extinction if the population decreases significantly. The Holling Type IV functional response illustrates the impact of prey group defense, which diminishes predation pressure as prey density increases, thereby facilitating the development of limit cycles and establishing a positive equilibrium under specific parameter conditions. This mechanism is crucial for managing predator-prey cohabitation and influencing the system's bifurcation structure. The final section of the study includes numerical simulations to support the analytical findings. The interplay between the Allee effect and the Holling Type IV functional response yields complex dynamics, encompassing bistability, oscillation behavior, and sensitivity to initial conditions. Their collaborative interaction amplifies the system's nonlinearity, enabling the creation of various dynamic behaviors that are extremely sensitive to fluctuations in parameter values.
Co-Authors Agus Suryanto Agusyarif Rezka Nuha Ajiboye, Aminat Olabisi Amelia Tri Rahma Sidik Amelia Tri Rahma Sidik Anatasya Lahay Apon Ismail Armayani Arsal Asriadi Asriadi Asriadi Balogun, Ghaniyyat Bolanle Beay, Lazarus Kalvein Cabelita Husuna Darti, Isnani Datu, Pratiwi Ardin Daud, Sriwati M. Dewi Rahmawaty Isa DIAN SAVITRI Dian Savitri Djihad Wungguli Femy Mahmud Sahami Friansyah Gani G. S. Mahapatra Hadi Susanto Hamani, Mohamad Taufik Harto Malik Isnani Darti Isnani Darti Isran K Hasan K. Nasib, Salmun Kai, Ferawati Kusumahwinahyu, Wuryansari Muharini La Ode Nashar Lailany Yahya Lakoro, Tiara Lamuda, Zulfatra Lanto Ningrayati Amali Mahmud, Sri Lestari Muhammad Rezky F. Payu Ninik Wahju Hidajati NISKY IMANSYAH YAHYA Novianita Achmad Nurdia Walangadi Nurhayati Abbas Nurmardia Abdussamad, Siti Nurwan Nurwan Oguntolu, Festus Abiodun Omede, Benjamin Idoko P. K. Santra Perry Zakaria Peter, Olumuyiwa James Rahmi, Emli Rauf, Jayanti Resmawan Resmawan Revandi S. Pakaya Salmun K. Nasib Sarson W DJ Pomalato Sri Agustin Limalo Sri Lestari Mahmud Sri Lestari Mahmud Suaib A Siraj Suryanto, Agus Wuryansari Muharini Kusumahwinahyu Yayu Indriati Arifin