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Bifurkasi Periode Ganda dan Neimark-Sacker pada Model Diskret Leslie-Gower dengan Fungsi Respon Ratio-Dependent Reza Mokodompit; Nurwan Nurwan; Emli Rahmi
Limits: Journal of Mathematics and Its Applications Vol 17, No 1 (2020)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v17i1.6809

Abstract

Dinamika model Leslie-Gower dengan fungsi respon ratio-dependent yang didiskretisasi menggunakan skema Euler maju adalah fokus utama pada artikel ini. Analisis diawali dengan mengidentifikasi eksistensi dari titik ekuilibrium dan kestabilan lokalnya. Diperoleh empat titik ekuilibrium yaitu titik kepunahan kedua populasi dan titik kepunahan predator yang selalu tidak stabil, dan titik kepunahan prey dan eksistensi kedua populasi yang stabil kondisional. Selanjutnya dipelajari eksistensi dari bifurkasi periode ganda dan Neimark-Sacker di sekitar titik eksistensi kedua populasi sebagai akibat perubahan parameter h (time-step). Dari hasil analisis ditemukan bahwa bifurkasi periode ganda terjadi setelah melewati h=h_a atau h=h_c dan bifurkasi Neimark-Sacker terjadi setelah melewati h=hb. Di akhir pembahasan, diberikan simulasi numerik yang mendukung hasil analisis sebelumnya.
Deskripsi Kesulitan Belajar Matematika Siswa pada Pokok Bahasan Bilangan Berpangkat di SMP Negeri 1 Biluhu Verawati Tarsan Kadir; Nurwan Nurwan; Siti Zakiyah; Abdul Djabar Mohidin
Jambura Journal of Mathematics Education Vol 3, No 1: Maret 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jmathedu.v3i1.13279

Abstract

This article discusses student’s mathematics learning difficulties with the aim of describing student’s mathematics learning difficulties on the subject of power numbers. The method used in this research is descriptive which is carried out in class IX odd semester for the academic year 2021/2022. The subjects of this study were 20 students of class IX1of SMP Negeri 1 Biluhu. There were also three interview subjects who represented the high category, medium category, and low category. The instrument of this research is a difficult test in the form of an essay on the material of rank numbers. To see learning difficulties, 3 indicators are used, namely: (1) difficulties in learning principles, (2) difficulties in learning concepts, and (3) difficulties in learning operations. The results of this study indicate that the learning difficulties of class IX students of SMP country 1 Biluhu are in the moderate category.  
Deskripsi Kemampuan Koneksi Matematis Siswa Pada Materi Teorema Pythagoras Arya Aurellio Yusuf; Nursiya Bito; Nurwan Nurwan; Perry Zakaria
Jambura Journal of Mathematics Education Vol 3, No 1: Maret 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jmathedu.v3i1.11028

Abstract

This article discusses the description of students' mathematical connection abilities in solving mathematics on the Pythagorean theorem material. This descriptive research was conducted at SMP Negeri 1 Bolaang Uki in the odd semester of the 2019/2020 school year. The technique of data collection is done by test. Description test to obtain mathematical connection ability data. The results showed that the students' mathematical connection ability to recognize and use connections between mathematical ideas was 45.14%, the indicator of understanding how mathematical ideas were connected and built on one another to produce a coherent whole was 29.63%, and indicators of the introduction and application of mathematics in daily life by 23.61%.
VARIAN METODE SECANT HALLEY NEWTON BEBAS TURUNAN KEDUA DENGAN ORDE KONVERGENSI ENAM DAN KONVERGEN EMPAT Djihad Wungguli; Ghivahri Sidik Mokoagow; Nurwan Nurwan; Agusyarif Rezka Nuha
Teorema: Teori dan Riset Matematika Vol 7, No 1 (2022): Maret
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v7i1.5669

Abstract

Artikel ini membahas varian metode Secant Halley bebas turunan kedua yang di modifikasi dari kombinasi metode Secant dan modifikasi prediktor-korektor Halley. Metode baru yang dihasilkan adalah metode Secant-Halley dan metode Secant-Halley-Newton dengan orde kekonvergenan kedua metode tersebut adalah konvergen empat  dan enam.   Metode Secant-Halley memiliki total evaluasi fungsi sebanyak empat kali per iterasi, sedangkan metode Secant-Halley Newton memiliki total evaluasi fungsi sebanyak lima kali per iterasi dengan indeks efisiensi sebesar 1.414 untuk metode Secant-Halley dan sebesar 1.431 untuk metode Secant-Halley-Newton. Selanjutnya dari hasil uji komputasi menunjukkan bahwa kedua metode yang diusulkan lebih baik dari metode pembandingnya. Metode yang diusulkan unggul dari segi orde konvergensi dan tanpa menggunakan turunan kedua dari suatu fungsi
Analisis dinamik model SVEIR pada penyebaran penyakit campak Sitty Oriza Sativa Putri Ahaya; Emli Rahmi; Nurwan Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.8482

Abstract

In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the existence of forward bifurcation driven by some parameters that influence the basic reproduction number R0 i.e., the infection rate α or proportion of vaccinated individuals θ. Lastly, some numerical simulations are performed to support our analytical results.
Model matematika SMEIUR pada penyebaran penyakit campak dengan faktor pengobatan Anisa Fitra Dila Hubu; Novianita Achmad; Nurwan Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.7970

Abstract

This study discusses the spread of measles in a mathematical model. Mathematical modeling is not only limited to the world of mathematics but can also be applied in the health sector. Measles is a disease with a high transmission rate. The spread of measles in this model was modified by adding the treated population and the treatment parameters of the exposed population. In this article, we examine the equilibrium points in the SMEIUR mathematical model and perform stability analysis and numerical simulations. In this study, two equilibrium points were obtained, namely the disease-free and endemic equilibrium point. After getting the equilibrium point, an analysis is carried out to find the stability of the model. Furthermore, the simulation produces a stable disease-free equilibrium point at conditions R01 and a stable endemic equilibrium point at conditions R01. In this study, a numerical simulation was carried out to see population dynamics by varying the parameter values. The simulation results show that to reduce the spread of measles, it is necessary to increase the rate of advanced immunization, the rate of the infected population undergoing treatment, and the proportion of individuals who are treated cured.
A Digitalisasi Produk Ekonomi Kreatif: Upaya Membangun Wirausaha Inovatif di Masa dan Pasca Pandemi Covid 19 Bagi Masyarakat Desa Alale Kabupaten Bone Bolango Nurwan; Resmawan
Dinamisia : Jurnal Pengabdian Kepada Masyarakat Vol. 6 No. 2 (2022): Dinamisia: Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Lancang Kuning

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31849/dinamisia.v6i2.7981

Abstract

The Covid-19 pandemic has speared almost all country in the world, including Indonesia. The impact of the Covid-19 pandemic in various aspects of life, including economic problems. Some small and medium industries suffered a lot, but not a few are taking advantage of these situations to gain profits through creativity and digital innovation. In response to the existing conditions, efforts to assist the community of small and medium business actors and other community groups to digitize the creative economy in order to develop innovative entrepreneurs. The aim of this activity is to provide solutions for business groups and the general public to improve the economy during pandemic and post the Covid-19 pandemic. The form of activity in this service is training on the use of information technology (social media) in supporting creative economic activities such as product design, digital marketing and building business networks.
Bilangan Terhubung Titik Pelangi Kuat Graf Octa-Chain (OCm) Nisky Imansyah Yahya; Karina Anselia Mamonto; Nurwan Nurwan; Lailany Yahya; Djihad Wungguli; La Ode Nashar
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.15177

Abstract

An Octa-Chain graph (OCm) is a graph formed by modifying the cycle graph C8 by adding an edge connecting the midpoints in C8. The minimum number of colors used to color the vertices in a graph so that every two vertices have a rainbow path is called the rainbow vertex-connected number denoted by rvc (G). While the minimum number of colors used to color the vertices in a graph so that every two vertices are always connected by a rainbow path is called a strong rainbow vertex connected number and is denoted by srvc (G). This study aims to determine the rainbow vertex-connected number (rvc) and the strong rainbow-vertex-connected number (srvc) in the Octa-Chain graph (OCm). The results obtained from this research are the rainbow vertex-connected number rvc (OCm)=2m and the strong rainbow-vertex-connected number srvc (OCm)=2m.
Optimization Fuzzy Geographically Weighted Clustering with Gravitational Search Algorithm for Factors Analysis Associated with Stunting Isran K Hasan; Nurwan; Nur Falaq; Muhammad Rezky Friesta Payu
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Vol 7 No 1 (2023): February 2023
Publisher : Ikatan Ahli Informatika Indonesia (IAII)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29207/resti.v7i1.4508

Abstract

Stunting is a significant threat to the quality of human resources in Indonesia because stunting does not only involve physical growth disorders but can also cause children to be vulnerable to disease and experience disorders of brain development and intelligence. Many factors cause stunting, not only malnutrition in pregnant women and toddlers. Grouping can be done to make it easier to see the characteristics of the factors causing stunting in Indonesia. The grouping is done based on the similarity of the characteristics of the factors causing stunting in each province. This study used Fuzzy Geographically Weighted Clustering (FGWC) with Gravitational Search Algorithm (GSA) to group and assess the best cluster using the Partition Coefficient validity index, Classification Entropy, Separation Index, Xie & Beni's Index, and IFV Index. Furthermore, a difference test was conducted to determine the dominant factor causing stunting in the formed cluster. The results showed that the FGWC-GSA gave the best clustering results on the fuzziness value of 2 with the number of clusters 2. Cluster 1 consisted of 16 provinces, and cluster 2 consisted of 18 provinces. Based on the T-test, the variables of infants who received exclusive breastfeeding had significant differences between clusters. Therefore, cluster 2 is a cluster that has dominant problems related to exclusive breastfeeding.
Optimasi Portofolio Saham Syariah Menggunakan Model Indeks Tunggal dan VaR Berbasis GUI Matlab Lindrawati Abdjul; Resmawan Resmawan; Agusyarif Rezka Nuha; Nurwan Nurwan; Djihad Wungguli; La Ode Nashar
Jambura Journal of Mathematics Vol 5, No 1: February 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjom.v5i1.18570

Abstract

Sharia-based investment is an investment by the community to obtain profits in accordance with Islamic principles and law. This study aims to calculate the optimal portfolio return value using the Single Index Model, calculate risk with VaR (Value at Risk), and then implement it with Matlab’s GUI (Graphical User Interface). The data used is closing stock price data on the JII (Jakarta Islamic Index) using 30 stocks for two consecutive years. Furthermore, these stocks are selected which have a positive average return value. The study results show that 14 stocks are candidates for optimal portfolios with positive return values, namely: ACES, ADRO, ANTM, BRPT, BTPS, CTRA, EXCL, INCO, MDKA, MNCN, SCMA, TPIA, UNTR, and WIKA. Then the optimal portfolio of the 14 stocks is determined using the Single Index Model considering the ERB (Excess Return to Beta) value ≥ cut-off point value (C*). Based on the value, 4 shares were obtained that belong to the optimal portfolio, namely: MDKA, BRPT, BTPS, and ANTM. Furthermore, VaR calculations are performed on the 4 optimal portfolios to obtain optimum VaR consistency values with 500 repetitions. The VaR calculation results with a 95% confidence level show that the average VaR result is in the range of -0.14704 to -0.3420 so that when investors invest in 4 optimal stocks, the losses experienced by investors are no more than 34%.