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All Journal Limits: Journal of Mathematics and Its Applications
Farah Kristiani
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Computer Science & IT Mathematics

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Pemodelan Premi Asuransi Bencana Kematian pada Ternak Sapi dengan Pengaruh Fatal Shock Natasha Maria; Felivia Kusnadi; Farah Kristiani
Limits: Journal of Mathematics and Its Applications Vol. 19 No. 2 (2022): Limits: Journal of Mathematics and Its Applications Volume 19 Nomor 2 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Cattle farming is one of the highest demands of occupation by Indonesians as the source of income. If in a farm there are cattle with an infectious disease, thus it will cause them sick or even die, hence the infected cattle cannot provide maximum benefits. As a result, the farmer's income will decrease or incurred losses. Therefore, cattle insurance become one preventive way to divert the risk of financial losses incurred by cattle breeders. The expectation of losses is determined by the effect of fatal shock, namely the arrival time of the Brucellosis disease which follows a Poisson process. The distribution of loss amounts occurs as a mixture distribution of the binomial and degenerate distribution from a random variables of remaining cattle's future lifetime with influence of fatal shock, which is then modeled by determining the loss distribution incurred by the insurance company as a modification of the insurance policy with deductible, policy limit, and co-insurance. Insurance premium is obtained using the Pure Premium Method which uses the expectation of losses. Based on the calculation that used cattle population data in Bogor Regency, the premium rate increases as the policy limits, rate of Brucellosis disease arrival time, number of cattles insured, and cattle’s age increase. However, the premium rate will decrease if the deductible increases.
Analisis Perbandingan Bilangan Reproduksi Dasar pada Model Penyebaran Penyakit Dengue dengan Pengaruh Faktor Usia di Kota Bandung Vania Junisha; Farah Kristiani; Benny Yong
Limits: Journal of Mathematics and Its Applications Vol. 16 No. 2 (2019): Limits: Journal of Mathematics and Its Applications Volume 16 Nomor 2 Edisi De
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Penyakit Dengue merupakan salah satu masalah kesehatan yang utama di masyarakat Indonesia pada umumnya dan di kota Bandung pada khususnya. Pada penyebarannya, ternyata terdapat perbedaan tingkat risiko transmisi antara kelompok usia anak dan orang dewasa pada penyakit Dengue. Sebagai salah satu strategi pencegahan penyebaran penyakit ini, dapat dengan melalui pemodelan dari sistem dinamika penyebarannya. Penelitian ini akan menganalisa model penyebaran penyakit Dengue di kota Bandung dengan memperhitungkan faktor individu anak dengan kasus simtomatik dan asimtomatik. Bilangan Reproduksi Dasar (BRD) sebagai nilai ambang batas penyebaran penyakit ini akan dicari dan dianalisis dengan menggunakan metode Matriks Generasi dan Laju Pertumbuhan Intrinsik dan dengan menerapkan nilai parameter-parameter dan data banyaknya kasus dengue di kota Bandung pada tahun 2016-2018. Titik kesetimbangan dari kondisi bebas penyakit dan endemik juga akan ditentukan untuk memverifikasi keakuratan model yang dibuat. Dari hasil analisisnya, disimpulkan bahwa kedua metode menghasilkan bentuk BRD yang memiliki karakter yang berbeda dan diterapkan pada kondisi yang berbeda pula. Jika data real tersedia, maka lebih baik menerapkan metode Laju Pertumbuhan Intrinsik. Sebaliknya, jika data real tidak lengkap tersedia, maka disarankan menggunakan metode Matriks Generasi
Simulasi Perhitungan Premi Asuransi Kesehatan dan Jiwa pada Penderita Covid-19 yang Dipengaruhi Model Penyebaran Penyakit Menular SIDRS Patrick Louis Lucin; Farah Kristiani; Benny Yong
Limits: Journal of Mathematics and Its Applications Vol. 20 No. 1 (2023): Limits: Journal of Mathematics and Its Applications Volume 20 Nomor 1 Edisi Ma
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Determination of health and death insurance benefits according to the needs of policyholders is very important to determine from the beginning of making an insurance policy, especially for insurance that takes over the risk of being infected with the COVID-19 virus. Several factors that must be taken into account in determining the amount of benefits and premiums due to COVID-19 are the human population factor that is susceptible, infected and death in the SIDRS infectious disease spread model. In this study, the influence of these three factors on actuarial calculations is examined in more depth to produce an appropriate premium determination formula by taking into account two payment schemes in lump sum and annuity. From the simulation results by applying data on COVID-19 cases in Indonesia to determine the parameters of the SIDRS model, it is concluded that the premium with an annuity benefit payment scheme is smaller than the premium with a lump sum benefit scheme. Furthermore, it is also concluded that if the population of policyholders increases, the premium price will also be lower.
Co-Authors Benny Yong Felivia Kusnadi Natasha Maria Patrick Louis Lucin Vania Junisha