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Lailany Yahya
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Sensitivity Analysis of Mathematical Model of Coronavirus Disease (COVID-19) Transmission Resmawan, Resmawan; Yahya, Lailany
CAUCHY Vol 6, No 2 (2020): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

#### Abstract

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 diseaseâ€™s endemicity. The results revealed that the parameters ðœ‚, ðœð‘ ð‘’, ð›¼,, and ðœŽ in sequence showed the most dominant sensitivity index towards the basic reproduction number. Moreover, the results indicated positive index in parameters ðœ‚ and ðœð‘ 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 ð›¼ and ðœŽ, 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 diseaseâ€™s endemicity. All in all, the study concludes that treatments for COVID-19 should focus onrestriction of interaction between individuals and optimization of quarantine.
MAX PLUS ALGEBRA FOR DYNAMIC ANALYSIS SYSTEM OF TRANSPORT NETWORK (Case Study of Trans Hulontalangi Gorontalo City Transport) ., Nurwan; Yahya, Lailany
Sainstek Vol 6, No 4, 2011
Publisher : Jurnal Sainstek

#### Abstract

Petri nets and max plus algebra are a subclass of Discrete Event Systems (SED) that can determined and analyze the various properties of a system. Public transport is a very important community needs in urban life. Trans Hulontalangi bus is one of the transportation networks in the city of Gorontalo, held to address the problem of transport and reduce congestion. In this research constructed Petri net of transport lines trans Hulontalangi Gorontalo City, then conducted the study in the form max plus algebra. Number of place and transition of the Petri net is obtained respectively 14. Max plus algebra model is x(k +1) = Ax(k) , with ( ) 1 2 14 x(k) = x (k), x (k), , x (k) ' , and n n A Re .
PENYELESAIAN ANALITIK DAN PEMODELAN FUNGSI BESSEL Yahya, Lailany
Sainstek Vol 5, No 3, 2010
Publisher : Sainstek

#### Abstract

Abstrak: Dalam makalah ini akan dilakukan penyelesaian analitik dan pemodelan persamaan diferensial Bessel serta menunjukkan sifat simetri pada ruang Hilbert dan ortogonalitas untuk memperoleh grafik Fungsi Bessel Jn(x) dan fungsi Neuman Nn(x). Kata kunci : Pemodelan Fungsi Bessel, Hilbert, ortogonalitas
Pengaruh Penggunaan Media Berbasis Information and Communication Technology (ICT) terhadap Hasil Belajar Siswa pada Materi Dimensi Tiga Wungguli, Djihad; Yahya, Lailany
Jambura Journal of Mathematics Education Vol 1, No 1: Maret 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

#### Abstract

These paper have purposed to know the difference of result between the students that have learned by using IT and the students who had subject follow by using conventional learning method in dimension three subject. The research method used in this study is an experimental method using Posttest-Only Control Group Design. The results showed that the average learning outcomes of students who get learning by using ICT media is higher than the average learning outcomes of students who get learning by using conventional learning models on the three-dimensional material.
Analisis Dinamik Model Transmisi COVID-19 dengan Melibatkan Intervensi Karantina Resmawan, Resmawan; Nuha, Agusyarif Rezka; Yahya, Lailany
Jambura Journal of Mathematics Vol 3, No 1: January 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

#### Abstract

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.
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 - Februari 2021
Publisher : Universitas Pesantren Tinggi Darul Ulum Jombang

#### Abstract

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.
ANALISIS DINAMIKA MODEL EPIDEMI SEIQR-SI PENYEBARAN WORM BEBASIS WI-FI PADA SMARTPHONE Mohamad, Regina; Yahya, Lailany; Resmawan, Resmawan; Nuha, Agusyarif Rezka
TRANSFORMASI Vol 5 No 1 (2021): TRANSFORMASI : Jurnal Pendidikan Matematika dan Matematika
Publisher : Pendidikan Matematika FMIPA Universitas PGRI Banyuwangi

#### Abstract

Artikel ini membahas model matematika SEIQR-SI penyebaran worm berbasis Wi-Fi pada smartphone. Worm berbasis Wi-Fi termasuk perangkat lunak yang mampu mereplikasi dirinya untuk mencoba memecahkan kata sandi setiap router Wi-Fi baru yang ditemuinya tanpa bantuan manusia. Analisis model dilakukan dengan menentukan titik kesetimbangan beserta kestabilannya. Hasil analisis menunjukkan bahwa model SEIQR-SI memiliki dua titik kesetimbangan yaitu titik kesetimbangan bebas worm dan titik kesetimbangan endemik. Titik setimbang bebas worm stabil asimtotik lokal jika , sedangkan titik setimbang endemik stabil asimtotik lokal jika . Pada bagian akhir diberikan simulasi secara numerik yang menunjukkan peningkatan laju karantina oleh Wi-Fi base station pada worm dapat menekan jumlah node smartphone dan Wi-Fi yang terinfeksi worm.
Upaya Pemberdayaan Masyarakat Melalui Pengelolaan Sumber Daya Pesisir Yahya, Lailany; Latjompoh, Masra
Jurnal Sibermas (Sinergi Pemberdayaan Masyarakat) Vol 8, No 3 (2019): Jurnal Sbermas (Sinergi Bersama Masyarakat)
Publisher : Univeristas Negeri Gorontalo

#### Abstract

Pemberdayaan masyarakatÂ adalah upaya untuk membuat masyarakat berperan aktif dalam aktivitas social. Tujuan yang ingin dicapai pada kegiatan Kuliah Kerja Nyata (KKN) Tematik adalah meningkatnya pengetahuan dan partisipasi aktif masyarakat desa dalam memanfaatkan potensi desa sebagai upaya meningkatkan ekonomi masyarakat dan pengelolaan lingkungan hidup yang sehat. Target khusus kegiatan, yaitu: (1) peningkatan kesadaran masyarakat dalam mengelola potensi sumber daya alam lokal masyarakat pesisir, (2) terwujudnya kelestarian lingkungan masyarakat desa. Metode kegiatan KKN tematik ini adalah metode workshop dalam bentuk pelatihan dan pendampingan pada masyarakat melalui pelatihan pengembangan produk kerajinan tangan dan usaha masyarakat secara intensif sehingga tercapai seluruh target dan luaran yang diharapkan melalui pelaksanaan kegiatan KKN tematik ini dapat meningkatkan ekonomi masyarakat pesisir.
Nonpreemptive Goal Programing Method in Optimization Nurse Scheduling by Considering Education Level Utina, Fitriani; Yahya, Lailany; Nurwan, Nurwan
Jurnal ILMU DASAR Vol 22 No 2 (2021)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

#### Abstract

Nurse scheduling is one of the problems that often arise in hospital management systems. Head of ICU room and nurse to cooperate in making good nurse scheduling for the creation of optimal service. In this paper, we study a hospital nurse schedule design by considering the level of nurse education and the provision of holidays. Nurses with undergraduate education (S1) Nurses become leaders on every shift and are accompanied by nurses with diploma education (D3). The scheduling model in this study using the nonpreemptive goal programming method and LINGO 11.0 software. The preparation of the schedule of nurses assigned to this method can optimize the need for efficient nurses per shift based on education level. The data in the research was obtained by collecting administrative data at Aloei Saboe Gorontalo hospital. The data used are the published schedule by the head of the ICU room. In making a nurse schedule, there are limitations to consider such ashospital regulation. The results of the study obtained an optimal solution in the form of meeting all the desired obstacles. Computational results shows that nurse scheduling using the nonpreemptive goal programming method and LINGO 11.0 software better than the schedule created manually. Every shift is a maximum of one leader with an undergraduate education (S1) background and accompanied by a nurse with a diploma education (D3) background. Keywords: scheduling, goal programming, nonpreemptive goal programming.
TRACE MATRIKS TOEPLITZ 2-TRIDIAGONAL 3Ãƒâ€”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 : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

#### Abstract

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.