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Meksianis Ndii
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Jurnal Diferensial
Published by Universitas Nusa Cendana
ISSN : -     EISSN : 27759644     DOI : -
Core Subject : Economy, Health, Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health
Jurnal Diferensial adalah jurnal sains yang bertujuan untuk menyebarluaskan hasil riset-riset ataupun kajian pustaka pada bidang ilmu matematika dan terapannya. Artikel-artikel pada jurnal ini difokuskan kepada bidang ilmu matematika dan terapannya. Ruang lingkup atau bidang ilmu yang diterima dijurnal ini (tetapi tidak terbatas pada) adalah Analisis, Aljabar, Teori Graf, Optimisasi, Riset Operasi, Statistik, Biomatematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 73 Documents
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ANALISIS REGRESI DATA PANEL UNTUK KASUS DEMAM BERDARAH DENGUE DI PROVINSI NUSA TENGGARA TIMUR Oktovianus Antonio Boleng; Keristina Br Ginting; Ariyanto Ariyanto
JURNAL DIFERENSIAL Vol 4 No 2 (2022): November 2022
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v4i2.8286

Abstract

ABSTRAK Demam Berdarah Dengue (DBD) merupakan penyakit menular yang disebabkan oleh infeksi virus dengue melalui gigitan nyamuk aedes aegypti dan nyamuk aedes albopictus. Penelitian ini bertujuan untuk menentukan model akhir regresi data panel pada kasus faktor-faktor yang mempengaruhi DBD di Provinsi Nusa Tenggara Timur dari tahun 2016 sampai 2020. Variabel dependen yang digunakan dalam penelitian ini adalah Demam Berdarah Dengue (DBD), sedangkan variabel independen yang digunakan dalam penelitian ini diantaranya rumah tangga yang berperilaku hidup bersih dan sehat, kepadatan penduduk, kemiskinan, dan curah hujan Kabupaten/Kota di Provinsi Nusa Tenggara Timur. Berdasarkan hasil penelitian yang dilakukan diketahui Random Effect Model (REM) adalah model yang sesuai untuk pendekatan pada analisis regresi data panel untuk kasus demam berdarah dengue di provinsi Nusa Tenggara Timur (NTT). Faktor yang mempengaruhi tingkat kasus demam berdarah dengue di Provinsi Nusa Tenggara Timur antara lain Kepadatan Penduduk (KP) dan Curah Hujan (CH) dengan koefisien determinasi ( sebesar 12.41% sedangkan sisanya sebesar 87.59% dijelaskan oleh variabel lain.
PENGAMBILAN KEPUTUSAN DALAM MENENTUKAN KELUARGA MISKIN PENERIMA BANTUAN SOSIAL PEMERINTAH DI KELURAHAN FONTEIN DENGAN SISTEM INFERENSI FUZZY MAMDANI Ade Martina Botha Kellen; Rapmaida Megawaty Pangaribuan; Ariyanto Ariyanto
JURNAL DIFERENSIAL Vol 4 No 2 (2022): November 2022
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v4i2.8310

Abstract

Kemiskinan adalah suatu keadaan yang menyangkut ketidakmampuan dalam menghadapi tantangan kehidupan yang paling minimum, khususnya dari aspek konsumsi dan pendapatan. Jumlah penduduk miskin di Indonesia hingga saat ini masih tergolong banyak sehingga pemerintah masih terus memberikan bantuan sosial secara berkala kepada penduduk miskin. Namun, keluarga yang tergolong miskin masih kurang maksimal sehingga menyebabkan bantuan yang diberikan menjadi kurang tepat sasaran. Penelitian ini bertujuan untuk menerapkan sistem inferensi fuzzy metode Mamdani dalam menentukan keluarga miskin yang layak menerima bantuan sosial pemerintah menggunakan GUI Matlab. Logika fuzzy digunakan untuk menerjemahkan suatu besaran yang diekspresikan menggunakan bahasa (linguistik). Logika fuzzy dapat menyajikan setiap keadaan atau mewakili pemikiran manusia. Dalam logika fuzzy, keanggotaan elemen berada dalam interval [0, 1]. Logika fuzzy digunakan untuk menggambarkan ketidakjelasan. Kelebihan bahasa fuzzy adalah kemampuannya dalam proses penalaran secara sehingga dalam perancangannya tidak memerlukan persamaan matematik yang rumit. Variabel input yang digunakan dalam penelitian ini berasal dari 14 Kriteria keluarga miskin menurut Badan Pusat Statistik, sedangkan variabel output-nya adalah Status Keluarga. Penelitian ini menggunakan data sekunder dari Dinas Sosial Kota Kupang dan Pemerintah Kelurahan Fontein.
ESTIMASI BILANGAN REPRODUKSI DASAR PENYEBARAN PENYAKIT TUBERKULOSIS DI KABUPATEN BIMA TAHUN 2022 Ariyanto Ariyanto; Rapmaida M. Pangaribuan
JURNAL DIFERENSIAL Vol 4 No 2 (2022): November 2022
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v4i2.8482

Abstract

Telah dilakukan penelitian untuk mencari nilai estimasi bilangan reproduksi dasar penyebaran penyakit tuberkulosis di Kabupaten Bima dengan menggunakan model matematika SEIR. Penyebaran penyakit tuberkulosis di Kabupaten Bima dari bulan November tahun 2021 sampai dengan April tahun 2022 mengalami trend penurunan kasus yang sangat signifikan. Berdasarkan hasil analisis data lapangan dari Dinas Kesehatan Kabupaten Bima diperoleh nilai estimasi bilangan reproduksi dasar sebesar . Karena nilai bilangan reproduksi dasar lebih kecil dari satu, penyebaran penyakit tuberkulosis pada durasi waktu tersebut di atas akan hilang dari populasi Kabupaten Bima.
PENGGUNAAN MODEL REGRESI QUASI LIKELIHOOD UNTUK MENGATASI MASALAH OVERDISPERSI PADA REGRESI POISSON Robertus Dole Guntur; Keristina Br Ginting; Ganesha Lapenangga Putra; Jeanete Y Nenabu
JURNAL DIFERENSIAL Vol 4 No 2 (2022): November 2022
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v4i2.8734

Abstract

One of the main issue in the poisson regression model is over dispersion. The existence of over dispersion causes the estimated regression coefficients tend to produce estimates that deviate from the actual parameter values. The main purpose of this study is to show how to overcome the dispersion problem in this regressiom model using Quasi Likelihood regression method. This study used secondary data with sample size 316. The results of this study indicated that the value of Pearson Chi-square and deviance in the testing of the goodness of fit for quasi likelihood regression model were more closed to the value of chi-square table with degree of freedom 313. Therefore, the application of quasi likelihood model regression is more adequate than the Poisson regression model to handle over dispersion.
FAKTOR-FAKTOR YANG MEMPENGARUHI INDEKS PEMBANGUNAN MANUSIA DI PROVINSI NUSA TENGGARA TIMUR MENGGUNAKAN METODE ANALISIS JALUR Bernadinus Legimin; Astri Atti; Ariyanto Ariyanto
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.9783

Abstract

An indicator for human quality of life is The Human Development Index (HDI). Factors to be included for measuring HDI are life expectancy, long-term school expectancy, average length of schooling. In this study, path analysis has been applied to determine the magnitude of the influence of these factors on the human development index. Results showed that the structural equation of the formed path diagram is: Y=0,341X1+0,289X2 +0,593X3+0,315. Each addition of life expectancy (X1) by 1 year will increase the human development index (Y) by 34.1% if other variables are constant, every addition of old school expectations (X2) by 1 year will increase the human development index (Y) by 28.9% if other variables are constant, each addition of the average length of schooling (X3) by 1 year will increase the human development index (Y) by 59.3% if other variables are constant. Life Expectancy (X_1), Old School Expectancy (X2) and Average Length of Schooling (X3) affect the Human Development Index (Y).
ANALISIS TINGKAT KEPUASAN MASYARAKAT TERHADAP PELAYANAN PERUSAHAAN LISTRIK NEGARA (PLN) ATAMBUA MENGGUNAKAN METODE STRUCTURAL EQUATION MODELING Stefanny Anjela Devina Bere; Astri Atti; Meksianis Ndii
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.9792

Abstract

The State Electricity Company (PLN) is a service company engaged in the electricity sector. Community satisfaction is the level of community feelings after comparing what is received with what is expected. This study aims to determine the effect of service quality, information quality, and interaction quality on community satisfaction in Fatuketi Village, Kakuluk Mesak District, Belu Regency. The number of samples in this study was 100 families using Persero’s PLN services. The data collection technique uses a likert scale questionnaire, which consists of three exogenous variables and one endogenous variable for a total of 11 indicators. The hypothesis in this study is that there is an influence of service quality, information quality, and interaction quality on the level of community satisfaction. The method used is the structural equation modeling (SEM) method. The results obtained show that there is a significant influence of service quality factors (CR = 2.361 ≥ 1.96), information quality (CR = 2.827 ≥ 1.96), and interaction quality (CR = 2.840 ≥ 1.96), on the level of community satisfaction.
Wn-SUPER MAGIC LABELING ON GRAPH Pm ⊵e Wn Ci Manu; Ganesha Lapenangga Putra; Keristina Br. Ginting
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.9823

Abstract

Suppose G graph, H subgraph of G, then graph G admits H-covering having an H-magic labeling if there exist a bijective function mapping V (G) ∪ E(G) to a set of natural number at most |V (G)| + |E(G)| such that for any subgraph H¯ of G isomorphic to H, the sum of vertex and edge label of H¯ is equal to a fix number k, where k is a magic number. Moreover, such a labeling called H-super magic if the range of vertex set of G is a set positive integer less than or equal to |V (G)|. Suppose that e is an edge of Wn. Graph Pm ⊵e Wn is a graph obtained by taking a copy of graph Pm, |E(Pm)| copies of Wn, then identifying i-th edge of Pm to an edge e at i-th copy of Wn. In this paper, we construct the Wn-supermagic labeling of Pm ⊵e Wn.
Pelabelan Harmonis Ganjil Pada Graf Cm,n ⊵e C4 Demetriana Kolo; Keristina Br. Ginting; Ganesha L Putra
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.9824

Abstract

Graph is an ordered pair of a vertex and edge set that related with various theories, one of them called labeling. There are a lot of types of graph labeling, one of them is odd harmonious labeling. The odd harmonious labeling is an injective function f : V (G) → {0, 1, 2, . . . , 2q − 1} such that induced a bijective function is f∗: E(G) → {1, 3, 5, · · · , 2q − 1} which is defined by f∗(uv) =f(u) + f(v). This study aims to construct an odd harmonious labeling on a graph Cm,n ⊵e C4. The results showed that a graph Cm,n ⊵e C4 is an odd harmonious graph.
MATHEMATICAL MODELING AND SIMULATION OF SOCIAL MEDIA ADDICTION TIKTOK USING SEI1I2R TYPE MODEL Maria Magdalena Abi; Elinora Naikteas Bano; Leonardus Frengky Obe; Fried Markus Allung Blegur
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.10401

Abstract

TikTok is an entertainment application that can be used to watch and share various short videos such as educational information, dance, fashion, and even promote a product, as well as shop online. If it is used continously, it may provide negative impact. TikTok users may become stressed if it does not meet the creator’s expectations such as getting the most likes or viewers from users. Furthermore, they also can addicted to online shopping and buy something that they do not need due to lost self-control and be unable to consider risks in making decisions resulting in stress or depression. This study aims to build a mathematical model of TikTok addiction Type SEI1I2R. The results of the study obtained two equilibrium points, namely the free equilibrium point for TikTok addiction T1 and be stable when R0 < 1 and the equilibrium point for addiction to TikTok T2 and be stable when R0 > 1. The simulation shows that when R0 <1, even though most of the population have TikTok application, they are not interested in content and shopping via TikTok. This causes the population that creates TikTok accounts decrease and hence the addiction to content and shopping on TikTok slowly decrease and then disappear in the population. Meanwhile, when R0 > 1, many people think that content and shopping on TikTok are very interesting so that the population that creates TikTok accounts is increasing so that there is an increase in the population creating content and shopping on TikTok. Therefore, TikTok addiction will remain in the population and will increase with time.
A MATHEMATICAL APPROACH FOR ANALYSING THE EFFECTS OF CORRUPTION ON TRANSMISSION DYNAMICS OF MALARIA Julieta Bernadita Adelia Radja; Ariyanto Ariyanto; Ganesha Lapenangga Putra; Meksianis Z Ndii
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.10593

Abstract

One of the challenges for eradication of infectious diseases is corruption. This may result in an increase in the number of infectious disease cases. In this article, the effect of corruption on the transmission dynamics of malaria is analyzed using a mathematical model. A deterministic model in the form of a system of differential equations is formulated and analyzed. Sensitivity analysis and numerical simulations are also conducted to determine the effect of parameters on the basic reproductive number. The results show that corruption has negative effects on the efforts for reducing the number of malaria cases.

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