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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan JURNAL PENDIDIKAN TAMBUSAI
Hamsyiah, Nurmaita
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation

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RESERVES FOR SHARIA LIFE INSURANCE CONTRIBUTIONS USING THE GROSS PREMIUM VALUATION (GPV) METHOD BASED ON VASICEK MODEL Irawan, Wahri; Suwarman, Ramdhan Fazrianto; Azim, Muhamad Fadli; Sudrajat, Budi; Hamsyiah, Nurmaita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0635-0640

Abstract

Determining reserve for life insurance contributions has factors that influence it, such as contributions developed by participants and operational costs. Based on the financial services authority Number 71 of 2016, related to the company's financial health, one of which is that sharia insurance companies can make reserve for contributions. In this study, we discuss the calculation of the contribution of the initial value of return on investment which is sensitive and different calculations for the technical calculation of the contribution of sharia life insurance using the gross premium assessment method (GPV) by applying the Monte-Carlo simulation and using the vasicek model in calculating the discount factor so that with this method can recommend several possible contributions and contributions reserve from sharia life insurance products.
Model SIR Deterministik dengan Perawatan Jenuh: Analisis Matematis dan Simulasi Numerik Hardianti, Wiwik Tri; Wibowo, Eko Wahyu; Hamsyiah, Nurmaita
Jurnal Pendidikan Tambusai Vol. 10 No. 1 (2026)
Publisher : LPPM Universitas Pahlawan Tuanku Tambusai, Riau, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/jptam.v10i1.36883

Abstract

Penyebaran penyakit menular sering dimodelkan menggunakan sistem persamaan diferensial deterministik tipe SIR. Namun, sebagian besar model klasik mengasumsikan bahwa laju penyembuhan bersifat linier dan tidak mempertimbangkan keterbatasan kapasitas fasilitas kesehatan. Pada kondisi nyata, kemampuan rumah sakit dalam memberikan perawatan bersifat terbatas sehingga terjadi kejenuhan ketika jumlah pasien meningkat. Penelitian ini mengusulkan modifikasi model SIR dengan memasukkan fungsi perawatan jenuh berbentuk rasional untuk merepresentasikan keterbatasan kapasitas pengobatan. Model dianalisis secara matematis melalui penentuan titik kesetimbangan, bilangan reproduksi dasar, serta analisis kestabilan lokal. Hasil analisis menunjukkan bahwa peningkatan kapasitas perawatan dapat menurunkan nilai bilangan reproduksi dasar dan mengurangi puncak infeksi. Simulasi numerik memperlihatkan bahwa kejenuhan perawatan berpotensi menyebabkan dinamika wabah yang lebih kompleks dibandingkan model SIR klasik. Model yang diusulkan memberikan gambaran yang lebih realistis terhadap pengaruh keterbatasan sistem kesehatan dalam pengendalian penyakit.
Co-Authors Azim, Muhamad Fadli Budi Sudrajat Eko Wahyu Wibowo Hardianti, Wiwik Tri Irawan, Wahri Ramdhan Fazrianto Suwarman