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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 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
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

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Komparasi Skema Numerik Euler, Runge-Kutta dan Adam-Basforth-Moulton untuk Menyelesaikan Solusi Persamaan Osilator Harmonik Resmawan, Resmawan; Rosydah, Binti Mualifatul; Handayani, Rizka Putri
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.22420

Abstract

This article discusses the comparison of different numerical schemes to visualize the solution of 2nd-order differential equations. One-step methods such as the Euler method and the 4th-order Runge-Kutta method are combined with the 3rd-order Adam-Bashforth-Moulton method to solve the solution of 2nd-order differential equations. This combination of methods solves the Harmonic Oscillator equation, an 2nd-order differential equation widely applied in various oscillation contexts. The order of accuracy and order of approximation error are determined analytically. Finally, simulations are given with different steps for the three methods to confirm the behavior of the solution to the Harmonic Oscillator equation. The results show that the Euler method with the lowest order of accuracy has good accuracy at the beginning of the oscillation but not when time t is increased. The Runge-Kutta method, with the highest order of accuracy, shows excellent and consistent accuracy and solution stability, while the Adam-Bashforth-Moulton method, although it has a lower accuracy than the Runge-Kutta method of order 4, can be improved by choosing a one-step method with a high order of accuracy to approximate some of the required initial solutions. All three methods can provide approximation values with excellent accuracy and stability if a small step, h, is chosen, but this step can increase the time duration to display the solution. Thus, it is necessary to choose the right h according to the context of the equation and the method used to obtain accurate solutions with optimal time duration.
DISTRIBUTED LAG MODEL PENGARUH JUMLAH UANG BEREDAR TERHADAP NILAI TUKAR RUPIAH MENGGUNAKAN METODE KOYCK DAN ALMON LIHAWA, SRIRAPI H; RESMAWAN, RESMAWAN; ISA, DEWI RAHMAWATY; NASHAR, LA ODE
Jambura Journal of Probability and Statistics Vol 3, No 1 (2022): 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.v3i1.11805

Abstract

A regression model that contains the dependent variable which is influenced by the current independent variable, and is also influenced by the independent variable at the previous time is called a distributed lag model. Distributed lag model is a dynamic model in econometrics that is useful in empirical econometrics because it makes a static economic theory dynamic by taking into account the role of time explicitly. There are two distributed lag models, namely the infinite lag model and the finite lag model using the Koyck method and the Almon method in determining the estimated Distributed lag model. This study aims to determine the Distributed lag model for the effect of the money supply on the rupiah exchange rate and determine the best model based on the Koyck method and the Almon method. From the results of selecting the best model based on the SIC value and judging by the more precise R2 of the Koyck method, the resulting model ist  = 7958 + 0.0002Xt + 0.000177Xt-1+ 0.000157Xt-2+ 0.000139Xt-3 + 0.0000123Xt-4
The existence of Neimark-Sacker bifurcation on a discrete-time SIS-Epidemic model incorporating logistic growth and allee effect Sidik, Amelia Tri Rahma; Panigoro, Hasan S.; Resmawan, Resmawan; Rahmi, Emli
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17515

Abstract

This article investigates the dynamical properties of a discrete time SIS-Epidemic model incorporating logistic growth rate and Allee effect. The forward Euler discretization method is employed to obtain the discrete-time model. All possible fixed points are identified including their local dynamics. Some numerical simulations by varying the step size parameter are explored to show the analytical findings, the existence of Neimark-Sacker bifurcation, and the occurrence of period-10 and 20 orbits
Analisis Dinamik Model Penyebaran COVID-19 dengan Vaksinasi Resmawan, Resmawan; Yahya, Lailany; Pakaya, Revandi S.; Panigoro, Hasan S.; Nuha, Agusyarif Rezka
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 1: June 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i1.13176

Abstract

Coronavirus Disease 2019 (COVID-19) is a new type of virus from a large family of viruses transmitted between humans and animals (zoonotically transmitted) that was first discovered in Wuhan City, Hubei Province, China in late 2019 which is still widespread and threat throughout the world including Indonesia. This article discussed about the mathematical model of the spread of COVID-19 with vaccinations. In this case, the human population is divided into 5 classes, namely the suspected, vaccine, exposed, infected and recovered classes. The constructed model forms an SVEIR model that has two equilibrium points, namely disease-free and endemic equilibrium points. Stability analysis shows that the equilibrium point is stable local and global asymptotic if R0 1 and unstable if R0 1. Then a sensitivity analysis was carried out to determine the parameters that greatly affect the model as well as furthermore, numerical simulations are given to describe the behavior of the model that has been obtained based on the analysis of the sensitivity of basic reproductive numbers, obtained several parameters that affect the spread of COVID-19. Numerical simulation results show that vaccination can suppress the addition of infected populations and depend on the level of effectiveness of vaccination.
Analisis dinamik model predator-prey tipe Gause dengan wabah penyakit pada prey Ibrahim, Rusdianto; Yahya, Lailany; Rahmi, Emli; Resmawan, Resmawan
Jambura Journal of Biomathematics (JJBM) Volume 2, Issue 1: June 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v2i1.10363

Abstract

This article studies the dynamics of a Gause-type predator-prey model with infectious disease in the prey. The constructed model is a deterministic model which assumes the prey is divided into two compartments i.e. susceptible prey and infected prey, and both of them are hunted by predator bilinearly. It is investigated that there exist five biological equilibrium points such as all population extinction point, infected prey and predator extinction point, infected prey extinction point, predator extinction point, and co-existence point. We find that all population extinction point always unstable while others are conditionally locally asymptotically stable. Numerical simulations, as well as the phase portraits, are given to support the analytical results.
Pemodelan Data Time Series dengan Pendekatan Regresi Nonparametrik B-Spline Rahasia, Zulaiha; Resmawan, Resmawan; Isa, Dewi Rahmawaty
AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 11, No 1 (2020): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/aks.v11i1.4903

Abstract

Spline is one of the nonparametric approach, to adjust data so the final model has good flexibility. The purpose of this research is to model the time series data in the form of currency exchange rates by using the nonparametric B-spline approach. In B-spline modelling, determination of the order for the model, and the number and the placement of the knot are the criteria that must be considered. The best B-spline model obtained based on the selection of the optimal knot points with minimum Generalized Cross Validation (GCV) criteria. The modelling in this research use data on the exchange rate of the rupiah toward the US dollar in the period January 2014 - December 2018. The best B-spline model obtained by the 2 point knot approach, at points 11935.10 and 12438.29, with GCV valueequals to 55683.09.Keywords: Nonparametric Regression; B-Spline; Generalized Cross Validation
Deskripsi Kemampuan Berpikir Analitis Siswa Dalam Pembelajaran Matematika Pada Materi Operasi Bilangan Pecahan Napui, Ismawanti; Takaendengan, Bertu Rianto; Resmawan, Resmawan; Pauweni, Khardiyawan A.Y
Delta: Jurnal Ilmiah Pendidikan Matematika Vol. 12 No. 2 (2024): DELTA : JURNAL ILMIAH PENDIDIKAN MATEMATIKA
Publisher : Universitas Pekalongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31941/delta.v12i2.3973

Abstract

This study aims to describe students' analytical thinking skills in learning mathematics on fraction operations. This research was conducted at SMP Negeri 1 Ponelo Kepulauan which involved 26 students. This data collection technique is in the form of essay tests and interviews totaling 8 questions. To measure students' ability to think analytically, 3 indicators are used, namely: 1) Differentiating, 2) Organizing, and 3) Connecting. The results of this study indicate that students' analytical thinking skills in learning mathematics for class VII students of SMP Negeri 1 Ponelo Kepulauan are still in the moderate category because they reach a percentage of. Furthermore, the results for each indicator also belong to the medium category because it achieves a presentation of 61.54% respectively; 53.85%; 65.38%.
Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces Al Idrus, Ainun Sukmawati; Resmawan, Resmawan; Payu, Muhammad Rezky Friesta; Nasib, Salmun K.; Asriadi, Asriadi
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 4 No. 1 (2022)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v4i1.24462

Abstract

The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing fulfillment of the cyclic Banach contraction and proving the Cauchy sequence as a condition for proving a unique fixed point in quasi-αb-metric spaces with cyclic mapping. Furthermore, it's shown that the cyclic mappings, T have a unique fixed point in quasi-αb-metric spaces. Finally, an example is given to strengthen the proof of the theorems that have been done.Keywords: fixed point theory; Quasi -Metric spaces; Cyclic Banach Contraction; Cauchy sequence. AbstrakTeori titik tetap termasuk salah satu topik penting dan menarik untuk diteliti pada bidang analisis. Pada penelitian ini, dibahas tentang syarat cukup dalam membuktikan bahwa terdapat titik tetap tunggal dalam ruang quasi- b-metrik pada pemetaan siklik. Analisis diawali dengan menunjukkan pemenuhan kondisi kontraksi Banach siklik dan pembuktian barisan Cauchy sebagai syarat pembuktian bahwa terdapat titik tetap tunggal pada pemetaan siklik dalam ruang quasi- b-metrik. Selanjutnya ditunjukkan bahwa pemetaan siklik  memiliki titik tetap tunggal dalam ruang quasi b-metrik. Terakhir, diberikan contoh untuk memperkuat pembuktian teorema yang telah dilakukan.Kata Kunci: teori titik tetap; ruang Quasi -Metrik; Kontraksi Banach Siklik; barisan Cauchy.
KEMAMPUAN BERPIKIR KRITIS SISWA DALAM MENGGUNAKAN MULTIMEDIA INTERAKTIF Susanti, Susanti; Pomalato, Sarson W.Dj.; Resmawan, Resmawan; Hulukati, Evi
Differential: Journal on Mathematics Education Vol. 1 No. 1 (2023): Differential: Journal on Mathematics Education
Publisher : Universitas Muhammadiyah Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32502/differential.v1i1.92

Abstract

Penelitian ini bertujuan untuk mengetahui kemampuan berpikir kritis siswa dalam menggunakan multimedia interaktif pada materi segitiga di kelas IV SDN 12 Bukal. Penelitian ini adalah penelitian deskriptif dengan subjek penelitian adalah kelas IV berjumlah 16 siswa. Pengumpulan data dilakukan melalui instrumen tes berbentuk uraian yang telah melalui tahap uji validasi. Untuk mengukur kemampuan siswa dalam berpikir kritis digunakan 4 indikator yaitu : 1) Identifikasi masalah, 2) Analisis, 3) Memecahkan masalah, dan 4) Menarik simpulan. Penelitian menunjukkan bahwa kemampuan berpikir kritis siswa di kelas IV SDN 12 Bukal setelah mengikuti proses pembelajaran yang menggunakan multimedia interaktif tergolong pada kategori sedang dan capaian persentase 66,00%. Selanjutnya untuk hasil setiap indikator juga tergolong pada kategori sedang karena mencapai persentase masing-masing identifikasi masalah 72,92%, analisis 64,58%, memecahkan masalah 63,89%, dan menarik kesimpulan 60,94%.
A dynamical analysis of a predator-prey model: Exploring the influence of the Allee effect, environmental protection, and supplementary food sources Resmawan, Resmawan; Suryanto, Agus; Darti, Isnani; Panigoro, Hasan S.
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 4: December 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i4.32685

Abstract

This paper introduces a new predator-prey model with supplementary food sorces for the predator and the Allee effect on prey. Analytical proof of the existence, uniqueness, non-negativity, and boundedness of the solutions validates the model. Three equilibrium points are found: a trivial point, whose local stability depends on the Allee effect’s strength; a semi-trivial point, and an interior point whose local stability depends on certain conditions. The Lyapunov function and La Salle invariance principle show that each equilibrium point is globally asymptotically stable. The system displays intricate dynamical behaviors, including forward and Hopf bifurcations, along with bistability, which is regulated by critical parameters such as the predation conversion rate, environmental protection rate, and supplementary food sources. Under a weak Allee effect, increasing the predation conversion rate or supplementary food can shift the system from predator extinction to oscillatory coexistence. In contrast, under a strong Allee effect, these increases may instead drive both species to extinction if thresholds are exceeded. Moreover, variations in environmental protection rate yield contrasting outcomes: while a higher rate under weak Allee conditions may stabilize prey and eliminate predators, under strong Allee conditions, it may lead to total extinction. These findings illustrate the intricate relationship between biological and environmental components, highlighting the necessity for preventive measures and supplementary resources in population outcomes. The findings indicate that environmental protection and supplementary food sources influence species persistence and extinction in predator-prey dynamics, which is crucial for ecological conservation.
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