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All Journal dCartesian: Jurnal Matematika dan Aplikasi JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI SAINSMAT CAUCHY: Jurnal Matematika Murni dan Aplikasi AKSIOMA JURNAL ILMIAH MATEMATIKA DAN TERAPAN Indonesian Journal of Applied Statistics JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Dinamisia: Jurnal Pengabdian Kepada Masyarakat JTAM (Jurnal Teori dan Aplikasi Matematika) Indiktika : Jurnal Inovasi Pendidikan Matematika Jambura Journal of Mathematics Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Delta: Jurnal Ilmiah Pendidikan Matematika Transformasi : Jurnal Pendidikan Matematika dan Matematika ALGORITMA : Journal of Mathematics Education Vygotsky: Jurnal Pendidikan Matematika dan Matematika InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Bakti Masyarakat Indonesia Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Statistika dan Aplikasinya Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Science and Technology Journal of Mathematics: Theory and Applications Research in the Mathematical and Natural Sciences SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Aceh International Journal of Science and Technology Euclid Jurnal Matematika Integratif JNPM (Jurnal Nasional Pendidikan Matematika) d'Cartesian: Jurnal Matematika dan Aplikasi Differential: Journal on Mathematics Education

Resmawan Resmawan

Program Studi Matematika, Universitas Negeri Gorontalo

Author-ID : 716951

Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

Published : 82 Documents Claim Missing Document

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Articles

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Metode Spatial Autoregressive dalam Analisis Kerawanan Demam Berdarah Dengue di Kota Gorontalo Mahading, Tria Susilowati; Resmawan, Resmawan; Yahya, Lailany; Akolo, Ingka Rizkiyani
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 5 No 2 (2020): September 2020 - February 2021
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v5i2.1916

This study was aimed at discussing spatial regression to find out factors influencing the dengue fever vulnerability in Gorontalo city. The spatial regression method used in this study was the Spatial Autoregressive Model (SAR). The SAR model can provide additional information about the effect of the location of the village/village on the incidence of DBD in Gorontalo City. This study concluded that the number of population, number of poor population, educational facilities and the area elevation were factors influencing the dengue fever vulnerability in the city of Gorontalo.

METODE CONDITIONAL AUTOREGRESSIVE DALAM ANALISIS PENYEBARAN KASUS PENYAKIT TUBERCULOSIS RAJAK, SANDIKA S.; ISMAIL, SUMARNO; RESMAWAN, RESMAWAN
Jambura Journal of Probability and Statistics Vol 2, No 1 (2021): Jambura Journal Of Probability and Statistics
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjps.v2i1.9771

This research discusses the use of CAR model in finding out factors that significantly influence TBC transmission and figuring out its transmission patterns in Gorontalo city. The methods apply CAR model aiming to discover factors that significantly influence TBC transmission and Moran's Index aiming to identify its transmission pattern Findings reveal that the number of impoverished population and highlands in Gorontalo city are factors that significantly influence disease transmission The transmission patterns also indicate positive spatial autocorrelation that signifies a similar category among sub-districts

Kernel-Truncated Spline: Estimator Fleksibel untuk Regresi Nonparametrik Hidayat, Rahmat; Muthahharah, Isma; Resmawan, Resmawan
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33062

This study aims to develop a multivariable nonparametric regression model using a hybrid approach that combines Spline and kernel estimators. This method is proposed to address the limitations of conventional nonparametric models that typically apply a single type of estimator across all predictor variables, regardless of their individual patterns. In this approach, predictors with oscillatory patterns are modeled using truncated Spline regression, while variables exhibiting complex nonlinear behavior are modeled using a Gaussian kernel estimator. The combined model is constructed and estimated using the Ordinary Least Square (OLS) method and applied to data on the average years of schooling in South Sulawesi Province, Indonesia. Results indicate that the model using two Spline knots and an optimal bandwidth for the kernel component yields the lowest Generalized Cross Validation (GCV) value of 0.142, outperforming models with one or three knots. The best-fitting model achieves a coefficient of determination (R²) of 91.214% and a Mean Squared Error (MSE) of 0.0461. These findings suggest that the hybrid regression approach offers greater flexibility and accuracy in modeling multivariable social data.

ANALISIS KESTABILAN MODEL PENYEBARAN PENGGUNA NARKOBA DENGAN FAKTOR EDUKASI Husain, Moh Rizal; Nurwan, Nurwan; Resmawan, Resmawan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

This article discusses the model of drug addicts with education. The analysis begins by constructing the model. Next, the equilibrium point and its stability conditions are determined, and numerical simulation is given at the end. Two equilibrium points obtained, those are the drug-addicts free equilibrium point and the drug-addicts endemic equilibrium point. Then the basic reproduction number ( ) as the expected value of infection per unit time is determined using the Next Generation Matrix approach. Based on the numerical simulation, every population is stable near to the drug-free equilibrium point at , means the population of the drug-addict constantly decrease and on a certain condition will be non-existent, and stable around to drug-endemic equilibrium point at , means the drug-addict population will constantly increase so the drug epidemic occurred. Through the numerical simulation, the biggest education is given, the more population susceptible to education increase which caused the number population of susceptible without education decrease.

TRACE MATRIKS TOEPLITZ 2-TRIDIAGONAL 3Ã—3 BERPANGKAT BILANGAN BULAT POSITIF Olii, Isran R.; Resmawan, Resmawan; Yahya, Lailany
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Artikel ini mengidentifikasi bentuk umum trace matriks Toeplitz -tridiagonal berpangkat bilangan bulat positif. Langkah penelitian dimulai dengan menentukan bentuk umum matriks Toeplitz -tridiagonal berpangkat bilangan bulat positif, dilanjutkan dengan menentukan bentuk umum trace matriks Toeplitz -tridiagonal berpangkat bilangan bulat positif. Pembuktian dilakukan dengan menggunakan induksi matematika. Hasil akhir dari artikel ini diperoleh bentuk umum matriks dan untuk bilangan bulat positif ganjil dan bilangan bulat positif genap.

DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES Abdul, Nur Safitri; Yahya, Lailany; Resmawan, R.; Nuha, Agusyarif Rezka
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if and endemic equilibrium points will be stable local asymptotics if . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in value while increased rate of vaccine depreciation can increase the value of . In addition, sensitivity analysis shows that if the parameter is enhanced while other contrast parameters will contribute to the increase in value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter is enhanced while other contrast parameters will contribute to the decrease in value, as a result of the dissemination of the disease can be pressed very significantly.

DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL FOR THE CHOLERA DISEASE SPREAD INVOLVING MEDICATION AND ENVIROMENTAL SANITATION Resmawan, R; Yahya, Lailany; Mahmud, Sri Lestari; Nuha, Agusyarif Rezka; Laita, Nazrilla Hasan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

This study aims to analyze the mathematical model of the cholera disease spread involving medicationnd environmental sanitation. The model was analyzed by determining the equilibrium point and the basic reproduction number. The next step was to analyze the equilibrium point, sensitivity, and simulate numerically. Analysis of the stability of the disease-free and endemic equilibrium points usedhe Routh-Hurwitz criteria and the Castillo-Chaves and Song Theorem. The Analysis resultf the model produced two equilibrium points; namely the disease-freequilibrium point for local asymptotic stability and the endemic equilibrium point for local asymptotic stability if . Furthermore, the sensitivity analysis indicated the most sensitive parameters for basic reproductive number changes in succession are the parameters for natural birth rates , the transmission rate of bacteria from the environment to humans , the saturated concentration of bacteria in water , an increase in the bacterial population caused by environmental pollution rate by humans . Numerical simulations suggest an increase to give vaccine can contribute to slowing the transmission of cholera where as the reduction of a vaccine able to promote the transmission of cholera diseases.

ROBUST LEAST MEDIAN OF SQUARE MODELLING USING SEEMINGLY UNRELATED REGRESSION WITH GENERALIZED LEAST SQUARE ON PANEL DATA FOR TUBERCULOSIS CASES Adityaningrum, Amanda; Resmawan, Resmawan; Brahim, Annisa Maharani; Isa, Dewi Rahmawaty; Nashar, La Ode; Asriadi, Asriadi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2293-2306

Tuberculosis, primarily affecting the lungs and other organs, was the leading cause of death worldwide before the COVID-19 pandemic and continues to be a significant health concern. This research examined tuberculosis (TB) using a panel dataset. As a consequence, the datasets may contain outliers and contemporaneous correlations. A Robust Least Median of Square (LMS) model was developed in this research by combining Seemingly Unrelated Regression (SUR) with Generalized Least Square (GLS) on panel data to provide an analysis overview to overcome outliers and contemporaneous correlations. Based on secondary data obtained from the Central Bureau of Statistics of the Gorontalo Province and the Ministry of Health of the Gorontalo Province, this research examines TB cases between 2017 and 2021. The Chow test result suggests that CEM is the most appropriate model for analyzing panel data for TB cases in Gorontalo Province between 2017 and 2021. Due to the presence of outliers and influential observations in the data, robust LMS is employed. Furthermore, there is a problem of contemporaneous correlation in this research. Each regency or city can mitigate this problem by implementing robust LMS using SUR with GLS.

Stability Analysis and Numerical Simulation of Prey-Mesopredator-Apex Predator Dynamic Model with Supplementary Food for Apex Predator Resmawan, Resmawan; Handayani, Rizka Putri; Rosydah, Binti Mualifatul; Qur'ani, Fahma Mu'jizatil
Jambura Journal of Mathematics Vol 7, No 2: August 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i2.31345

This study formulates and mathematically analyzes a three-species dynamic model involving prey, mesopredator, and apex predator, considering the presence of supplementary food available only to the apex predator. The model is expressed as a three-dimensional nonlinear differential equation system and analyzed by proving the existence and uniqueness of solutions, positivity, and solution limitations to ensure mathematical validity in the biological domain. Furthermore, we study the local stability of the six equilibrium points of the system using the eigenvalue approach and the Routh-Hurwitz criterion. We perform numerical simulations and find that the stability of the system is highly sensitive to the parameters of predation efficiency and the capacity to utilize additional food. In addition, species extinction, dominance, or long-term coexistence also occur. The model shows how the relationships between different species and the support from external energy sources can change the community structure and affect whether predator species survive.

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

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 Abdul Djabar Mohidin Abdul Djabar Mohidin Abdul Wahab Abdullah Abdul, Nur Safitri Achmad, N Adrian Patingki Agus Suryanto Agusyarif Rezka Nuha Ainun Sukmawati Al Idrus Akolo, Ingka Rizkiyani Al Idrus, Ainun Sukmawati Amalia Tatu Amanda Adityaningrum Amelia Tri Rahma Sidik Andi Agung Anissa Dwi Wijayanti Apon Ismail Arianto A. Diu Asriadi Asriadi Asriadi Asriadi Bertu Rianto Takaendengan Binti Mualifatul Rosydah, Binti Mualifatul Boby Rantow Payu Brahim, Annisa Maharani Cabelita Husuna Dangkua, Sri Rahayu Dewi Rahmawati Isa Dewi Rahmawaty Isa Dewinta Mamula Djihad Wungguli Eka, M Endar Hasafah Nugrahani Evi Hulukati Febriolah Lamusu Gaib, Muhammad Bachtiar Gledisya Polontalo Handayani, Rizka Putri Hasan S. Panigoro Hayatun Napsia R. Tangahu Hendra Andrianto Yusuf Husain, Moh Rizal Ibrahim, Rusdianto Ingka Rizkiyani Akolo Ismail Djakaria Isnani Darti Isran K Hasan Jefriyanto Ibrahim Kartin Usman Kue, Hawai Abas La Ode Nashar Lailany Yahya Laita, Nazrilla Hasan LIHAWA, SRIRAPI H Lindrawati Abdjul Mahading, Tria Susilowati Mahmud, Sri Lestari Majid Majid Megawati Megawati Moh. Wahyu Warolemba Mohamad, Regina Muthahharah, Isma Napui, Ismawanti Napui, Ismawanti NISKY IMANSYAH YAHYA Novianita Achmad Nuha, A R Nurdia Walangadi Nurfajria Rahim Nurhalis Hasan Nurmala Niode Nursiya Bito Nurwan Nurwan Nurwan Nurwan, Nurwan Olii, Isran R. Paian Sianturi Pakaya, Revandi S. Pauweni, Khardiyawan A.Y. Perry Zakaria Qur'ani, Fahma Mu'jizatil Rafika Pomalingo Rahasia, Zulaiha Rahasia, Zulaiha Rahmat Hidayat Rahmawati Yusuf RAHMAWATY AHMAD Rahmi, Emli RAJAK, SANDIKA S. Rasmawati Rasmawati Rasyid, Kamelia Rosiana Jupri Rusniwati S. Imran Salmun K. Nasib Saltina, Saltina Sari, Septi Rahmita Sarson W DJ Pomalato Sartika Sari Dewi Selfiani Selfiani, Selfiani Sembiring, Rinawati Sidik, Amelia Tri Rahma Siti Hardiyanti Arsyad Siti Maisaroh Siti Zakiyah Siti Zakiyah Sitti Khadijah Sofyan Nuna Sri Istiyarti Uswatun Chasanah Sri Lestari Mahmud Sri Maryam Mohungo Sri Meylanti S. Ali Sumarno Ismail Susanti Susanti Syamsu Qomar Badu Taki, Febriani Tedy Machmud Tria Susilowati Mahading Vemsi Damopolii WA SALMI WD Rifqah Amalliah Ndangi Yamin Ismail Yusuf, Hendra Andrianto Zian Bula

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