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<![CDATA[Sensitivity Analysis of Mathematical Model of Coronavirus Disease (COVID-19) Transmission ]]>
<![CDATA[Resmawan, Resmawan]]>;
<![CDATA[Yahya, Lailany]]>
<![CDATA[ CAUCHY Vol 6, No 2 (2020): CAUCHY: Jurnal Matematika Murni dan Aplikasi ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/ca.v6i2.9165
<![CDATA[The study was aimed to introduce a new model construction regarding the transmission of Coronavirus Disease (henceforth, COVID-19) in human population. The mathematical model was constructed by taking into consideration several epidemiology parameters that are closely identical with the real condition. The study further conducted an analysis on the model by identifying the endemicity parameters of COVID-19, i.e., the presence of disease-free equilibrium (DFE) point and basic reproduction number. The next step was to carry out sensitivity analysis to find out which parameter is the most dominant to affect the disease’s endemicity. The results revealed that the parameters ðœ‚, ðœð‘ ð‘’, ð›¼,, and 𜎠in sequence showed the most dominant sensitivity index towards the basic reproduction number. Moreover, the results indicated positive index in parameters 𜂠and ðœð‘ ð‘’ that represented transmission chances during contact as well as contact rate between vulnerable individuals and exposed individual. This suggests that anincrease in the previous parameter value could potentially enlarge the endemicity of COVID-19. On the other hand, parameters 𛼠and ðœŽ, representing movement rate of exposedindividuals to the quarantine class and proportion of quarantined exposed individuals, showed negative index. The numbers indicate that an increase in the parameter value could decrease the disease’s endemicity. All in all, the study concludes that treatments for COVID-19 should focus onrestriction of interaction between individuals and optimization of quarantine.]]>
<![CDATA[Analisis Kestabilan Model Eko-Epidemiologi dengan Pemanenan Konstan pada Predator ]]>
<![CDATA[Nurhalis Hasan]]>;
<![CDATA[Resmawan Resmawan]]>;
<![CDATA[Emli Rahmi]]>
<![CDATA[ Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 2 (2020): JMSK, JANUARY, 2020 ]]>
Publisher : <![CDATA[Department of Mathematics, Hasanuddin University ]]>
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DOI: 10.20956/jmsk.v16i2.7317
<![CDATA[Penelitian ini dilakukan untuk menganalisis kestabilan model eko-epidemiologi dengan pemanenan konstan terhadap predator. Populasi dalam model terbagi atas tiga populasi yaitu populasi prey rentan populasi prey terinfeksi , dan populasi predator . Dikonstruksi model eko-epidemiologi dengan pemanenan konstan terhadap predator. Diperoleh dua titik kesetimbangan, yaitu titik kesetimbangan kepunahan populasi prey terinfeksi, dan titik kesetimbangan interior atau semua populasi ada. Eksistensi dari masing-masing titik kesetimbangan bergantung pada atau akar-akar realnya masing-masing. Sebelum mencari kestabilan dari titik-titk kestimbangan, ditentukan terlebih dahulu matriks Jacobi. Kestabilan dari masing-masing titik diuraikan pada syarat kestabilannya masing-masing. Simulasi numerik dari titik kesetimbangan dilakukan agar terlihat lebih jelas kestabilan dari masing-masing titik kesetimbangan. Simulasi numerik dilakukan menggunakan metode Runge-Kutta orde 4 dan dibantu software Phyton 3.7.]]>
<![CDATA[Pemodelan Data Time Series dengan Pendekatan Regresi Nonparametrik B-Spline ]]>
<![CDATA[Zulaiha Rahasia]]>;
<![CDATA[Resmawan Resmawan]]>;
<![CDATA[Dewi Rahmawaty Isa]]>
<![CDATA[ AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 11, No 1 (2020): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika ]]>
Publisher : <![CDATA[Universitas PGRI Semarang ]]>
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DOI: 10.26877/aks.v11i1.4903
<![CDATA[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]]>
<![CDATA[Analisis Dinamik Model Transmisi COVID-19 dengan Melibatkan Intervensi Karantina ]]>
<![CDATA[Resmawan Resmawan]]>;
<![CDATA[Agusyarif Rezka Nuha]]>;
<![CDATA[Lailany Yahya]]>
<![CDATA[ Jambura Journal of Mathematics Vol 3, No 1: January 2021 ]]>
Publisher : <![CDATA[Department of Mathematics, Universitas Negeri Gorontalo ]]>
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DOI: 10.34312/jjom.v3i1.8699
<![CDATA[ABSTRAKMakalah ini membahas dinamika transmisi COVID-19 dengan melibatkan intervensi karantina. Model dikonstruksi dengan melibatkan tiga kelas penyebab infeksi, yaitu kelas manusia terpapar, kelas manusia terinfeksi tanpa gejala klinis, dan kelas manusia terinfeksi disertai gejala klinis. Variabel yang merepresentasikan intervensi karantina untuk menekan pertumbuhan infeksi juga dipertimbangkan pada model. Selanjutnya, analisis model difokuskan pada eksistensi titik kesetimbangan dan simulasi numerik untuk menunjukkan dinamika populasi secara visual. Model yang dikonstruksi membentuk model SEAQIR yang memiliki dua titik kesetimbangan, yaitu titik kesetimbangan bebas penyakit dan titik kesetimbangan endemik. Analisis kestabilan menunjukkan bahwa titik kesetimbangan bebas penyakit bersifat stabil asimtotik lokal pada saat R01 dan tidak stabil pada saat R01. Simulasi numerik menunjukkan bahwa peningkatan intervensi berupa karantina dapat berkontribusi memperlambat transmisi COVID-19 sehingga diharapkan dapat mencegah terjadinya wabah pada populasi.ABSTRACTThis paper discusses the dynamics of COVID-19 transmission by involving quarantine interventions. The model was constructed by involving three classes of infectious causes, namely the exposed human class, asymptotically infected human class, and symptomatic infected human class. Variables were representing quarantine interventions to suppress infection growth were also considered in the model. Furthermore, model analysis is focused on the existence of equilibrium points and numerical simulations to visually showed population dynamics. The constructed model forms the SEAQIR model which has two equilibrium points, namely a disease-free equilibrium point and an endemic equilibrium point. The stability analysis showed that the disease-free equilibrium point was locally asymptotically stable at R01 and unstable at R01. Numerical simulations showed that increasing interventions in the form of quarantine could contribute to slowing the transmission of COVID-19 so that it is hoped that it can prevent outbreaks in the population.]]>
<![CDATA[Pemodelan Data Time Series dengan Pendekatan Regresi Nonparametrik B-Spline ]]>
<![CDATA[Rahasia, Zulaiha]]>;
<![CDATA[Resmawan, Resmawan]]>;
<![CDATA[Isa, Dewi Rahmawaty]]>
<![CDATA[ AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 11, No 1 (2020): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika ]]>
Publisher : <![CDATA[Universitas PGRI Semarang ]]>
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DOI: 10.26877/aks.v11i1.4903
<![CDATA[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]]>
<![CDATA[PEMANFAATAN SMARTPHONE DAN LAPTOP PRIBADI MENUJU SMART TEACHER DAN SMART SOCIETY DI DESA MONGGUPO KECAMATAN ATINGGOLA KABUPATEN GORONTALO UTARA ]]>
<![CDATA[Nurwan, Nurwan]]>;
<![CDATA[Achmad, Novianita]]>;
<![CDATA[Resmawan, Resmawan]]>
<![CDATA[ Jurnal Bakti Masyarakat Indonesia Vol 1, No 1 (2018): Jurnal Bakti Masyarakat Indonesia ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian kepada Masyarakat, Universitas Tarumanagara ]]>
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DOI: 10.24912/jbmi.v1i1.1876
<![CDATA[The widespread use of smartphones is still not comparable to the features contained therein. In fact, many useful things can be explored by utilizing the features available in smartphone devices, both for educational, community or entrepreneurial activities. Moreover, each smartphone is equipped with internet connection capability that can help users socialize and build a wider network. Having an internet connection on a smartphone and a personal laptop allows us to manage various activities more easily. The comfort internet provides causes internet users to increase over time. The purpose of this activity where teachers utilize personal smartphones and laptops in teaching is SMART Teacher. The definition of SMART in the SMART Teacher in this activity is SMART (Strategi Menghasilkan Alat belajaR berbasis Teknologi). While the use of personal smartphones and laptops for the community, especially for home industry or craft groups is the SMART Society. The definition of SMART in the SMART Society in this activity is SMART (Strategi Membangun wirausahA keReaTif). The method used in this activity is training / workshops and mentoring. The results of the training / workshop and mentoring activities are that teachers are able to utilize smartphones well in learning activities so that Smart Teachers are realized, and household industry groups, craft groups, or novice entrepreneurs are able to use smartphones to improve business for the realization of Smart SocietyABSTRAK: Penggunaan smartphone yang marak di masyarakat masih tidak sebanding dengan fitur-fitur yang terdapat didalamnya. Sejatinya, banyak hal bermanfaat yang dapat dieksplorasi dengan memanfaatkan fitur-fitur yang tersedia dalam perangkat smartphone, baik untuk kegiatan pendidikan maupun untuk kegiatan kemasyarakatan atau kewirausahaan. Terlebih lagi, setiap smartphone dilengkapi dengan fasilitas internet yang dapat membantu pengguna dalam bersosialisasi dan membangun jaringan yang lebih luas. Adanya koneksi internet pada smartphone dan melalui laptop pribadi memungkinkan mengelola berbagai macam kegiatan dengan lebih mudah. Kemudahan yang dapat diperoleh melalui internet menyebabkan pengguna internet selalu meningkat setiap saat. Tujuan dari kegiatan pemanfaatan smartphone dan laptop pribadi bagi guru dalam pembelajaran adalah SMART Teacher. Definisi SMART pada SMART Teacher yang diusung dalam kegiatan ini adalah SMART (Strategi Menghasilkan Alat belajaR berbasis Teknologi). Sedangkan kegiatan pemanfaatan smartphone dan laptop pribadi bagi masyarakat khususnya kalangan industri rumah tangga atau kelompok kerajinan adalah SMART Society. Definisi SMART pada SMART Society yang diusung dalam kegiatan ini adalah SMART (Strategi Membangun wirausahA keReaTif). Metode yang digunakan dalam kegiatan ini adalah pelatihan/workshop dan pendampingan. Hasil dari kegiatan pelatihan/workshop dan pendampingan adalah guru mampu memanfaatkan smartphone dengan baik dalam kegiatan pembelajaran sehingga Smart Teacher terwujud dan kelompok industri rumah tangga, kelompok pengrajin atau wirausaha pemula mampu memanfaatkan smartphone untuk membangun wirausaha sehingga Smart Society terwujud.]]>
<![CDATA[ANALISIS KESTABILAN MODEL PENYEBARAN PENGGUNA NARKOBA DENGAN FAKTOR EDUKASI ]]>
<![CDATA[Husain, Moh Rizal]]>;
<![CDATA[Nurwan, Nurwan]]>;
<![CDATA[Resmawan, Resmawan]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss1pp069-078
<![CDATA[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.]]>
<![CDATA[Penerapan Metode Double Moving Average Untuk Meramalkan Hasil Produksi Tanaman Padi di Provinsi Gorontalo ]]>
<![CDATA[Yusuf, Hendra Andrianto]]>;
<![CDATA[Djakaria, Ismail]]>;
<![CDATA[Resmawan, Resmawan]]>
<![CDATA[ d'CARTESIAN:Jurnal Matematika dan Aplikasi Vol 9, No 2 (2020): September 2020 ]]>
Publisher : <![CDATA[Universitas Sam Ratulangi ]]>
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DOI: 10.35799/dc.9.2.2020.28377
<![CDATA[Artikel ini membahas tentang metode double moving average untuk mengetahui hasil ramalan produksi tanaman padi di Provinsi Gorontalo. Metode double moving average merupakan metode rata-rata bergerak linier yang digunakan untuk mengatasi data deret waktu dengan pola yang cenderung mengalami trend linear. Berdasarkan pola data hasil produksi tanaman padi, menunjukkan bahwa pola data tersebut mengalami peningkatan setiap tahunnya dan dapat diidentifikasi bahwa data berpola trend. Hasil penelitian ini menunjukan bahwa model terbaik untuk meramalkan hasil produksi tanaman padi diperole MA (2 × 2) dengan model persamaan adalah F18+p =331692+(-5373) × m dan nilai tingkat akurasi yaitu measure absolute persenrage error (MAPE) sebesar 5.3537. Sehingga diperoleh hasil peramalan 5 tahun ke depan yaitu tahun 2019 sebesar 326318.5 Ton, 2020 sebesar 32094.5 Ton, dan seterusnya sampai tahun 2023 sebesar 304826.5 Ton.]]>
<![CDATA[Analisis Kontrol Optimal Pada Model Matematika Penyebaran Pengguna Narkoba Dengan Faktor Edukasi ]]>
<![CDATA[Resmawan]]>;
<![CDATA[M Eka]]>;
<![CDATA[Nurwan]]>;
<![CDATA[N Achmad]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2020.v17.i2.15201
<![CDATA[ABSTRACT This paper discusses the mathematical model of drug users with education. Optimal control theory was used on this model with education as a control to achieve the goal of minimizing the number of drug users. The optimal control problem was analyzed using Pontryagin’s minimum principle and performed numerical simulation by using a 4th-order Runge-Kutta method. Based on the numerical simulation, there was a change in the number in each population which caused the population with education to increase, and control with education resulted in the reduced number of drug users. Keywords: Optimal control; mathematical model; drug users; education ABSTRAK Artikel ini membahas tentang model matematika penyebaran pengguna narkoba dengan faktor edukasi. Teori kontrol optimal diterapkan pada model ini dengan pemberian kontrol berupa edukasi dengan tujuan untuk meminimumkan jumlah pengguna narkoba. Kontrol optimal dianalisis menggunakan Prinsip Minimum Pontryagin dan dilakukan simulasi numerik dengan menggunakan metode Runge-Kutta orde 4. Berdasarkan simulasi diperoleh bahwa terjadi perubahan jumlah di tiap populasi dan mengakibatkan jumlah populasi dengan edukasi bertambah, serta pemberian kontrol dengan edukasi mengakibatkan jumlah pengguna narkoba berkurang. Kata kunci : Kontrol optimal; model matematika; pengguna narkoba; edukasi]]>
<![CDATA[Metode Spatial Autoregressive dalam Analisis Kerawanan Demam Berdarah Dengue di Kota Gorontalo ]]>
<![CDATA[Mahading, Tria Susilowati]]>;
<![CDATA[Resmawan, Resmawan]]>;
<![CDATA[Yahya, Lailany]]>;
<![CDATA[Akolo, Ingka Rizkiyani]]>
<![CDATA[ JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 5, No 2 (2020): September 2020 - Februari 2021 ]]>
Publisher : <![CDATA[Universitas Pesantren Tinggi Darul Ulum Jombang ]]>
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DOI: 10.26594/jmpm.v5i2.1916
<![CDATA[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.]]>
