ANALISIS MODEL MATEMATIKA PENYEBARAN PENYAKIT COVID-19 DENGAN LOCKDOWN DAN KARANTINA

Penelitian ini menggembangakan model matematika penyebaran penyakit COVID-19 SEIR dengan lockdown dan karantina. Pembentukan model diawali dengan membuat asumsi dan diagram kompartemen alur penyebaran COVID-19 dengan lockdown dan karantina. Kemudian dibentuk sistem persamaan diferensial nonlinear berdasarkan diagram kompartemen tersebut. Analisis sistem dilakukan dengan menentukan titik ekuilibrium dan bilangan reproduksi dasar (). Hasilnya diperoleh dua buah titik ekuilibrium yakni titik ekuilibrium bebas penyakit yang eksistensinya tanpa syarat dan titik ekuilibrium endemik yang eksistensinya bergantung pada bilangan reproduksi dasar (> 1). Selanjutnya, analisis kestabilan titik ekuilibrium bebas penyakit menggunakan analisis nilai eigen matriks Jacobi dan Kriteria Routh-Hurwitz diperoleh titik kestimbangan bebas penyakit bersifat stabil asimtotik lokal jika . Terakhir simulasi model dilakukan untuk memberikan gambaran geometris dari solusi dan untuk mendukung teorema yang diperoleh. Hasil simulasi numerik yang dilakukan mendukung hasil analisis dinamik yang diperoleh

THE DEVELOPMENT OF QR CODE BASED MOBILE ATTENDANCE INFORMATION SYSTEM USING SCRUM FRAMEWORK

As one of State ‘s Higher Education Institutions, the Kalimantan Institute of Technology (ITK) must perform the education and teaching function as mandated by the tri dharma perguruan tinggi, then the function is regulated in academic regulations and implemented in business processes of attendance. Currently, the attendances data are recapitulated manually at week 15 by Academic Staff. The attendance process that has been running has several problems, namely prone to violations of the actual meeting realization and attendance count, recapitulation time that takes a long time, risk of data input errors and loss of presence sheet. Based on these problems, the attendance information system is developed (SIAP ITK). This research was conducted with the agile software development methodology with the scrum framework. The results of this research is an android  application following the business processes of attendance in ITK. Based on the testing result which was carried out during this research, SIAP ITK is considered capable of optimizing the attendance process that has been running at ITK