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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

Employee Benefits Program Valuation with Multiple Decrement Model Based on PSAK 24 Post-COVID-19 Pandemic Ekasasmita, Wahyuni; Rahmi, Nur; Iskandar, M. Fauzan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 1 (2024): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i1.17417

Abstract

In this article, we evaluate the post-labor compensation program based on PSAK-24 in the new normal era of the COVID-19 pandemic. In order to create a table multiple decrements based on a single table decrement namely, death, withdrawal, total permanent disability, and retirement. In the new normal era of the COVID-19 pandemic, the benefits of death, death caused by COVID-19, withdrawal, total permanent disability, and retirement were then aggregated. The method used in this study is a quantitative method with a case study approach of COVID-19. The data used is secondary data on the number of COVID-19 positive cases in Indonesia from January 2021 to December 2022. In this study, an actuarial model, the Multiple Decrement Model, was applied to calculate the valuation of the post-labor compensation program based on PSAK-24 using five decrements as the cause of claims consisting of death, death cause of COVID-19, withdrawal, total permanent disability and retirement. The calculation results that can be seen that large annual net premiums multiple decrement cases that provide benefits according to the cause of failure getting bigger as that person gets older. 
Model Analysis of Diphtheria Disease Transmission with Vaccination, Quarantine, and Hand-Washing Behavior Rahmi, Nur; Pratama, Muh. Isbar
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13466

Abstract

Recently, diphtheria outbreaks occur in many countries. According to the latest data from the World Health Organization, the number of registered cases and incidence of diphtheria in 2021 will be 8,638 cases worldwide. Diphtheria is generally an acute respiratory infection with most infections being asymptomatic or having a relatively slight clinical course. However, many sufferers are afflicted by breathing obstruction. In this study, we developed and analyzed the diphtheria spread model by considering transmission by contact with an exposed and infected individual, progression for vaccinated exposed individuals becoming infected, quarantine for both exposed and infected people, and hand-washing behavior. Besides that, we proved the stability analysis around the equilibrium points and did the numerical simulations of models. The results of this study show that the model system has two steady states, namely disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than one, either is unstable. The endemic equilibrium exists and is stable if the basic reproduction number is greater than one. The numerical simulations show that there is a significant effect of vaccination, quarantine, and hand-washing behavior for infected numbers, respectively. Vaccination, quarantine, and hand-washing behavior could significantly reduce the basic reproductive and the infected number. Whereas vaccination for exposed people could increase the basic reproductive and the infected number. 
Co-Authors Abd Hakim Mohad Ramli Abd Rasyid Abdul Kadir Adhalia H., Nurul Fuady afrianis, neti Ahmad Ahmad Ahmad Ahmad Ahmad Fajri Ahmad Ghazali Samad Akila Humaira Amal, Muhammad Ikhlashul Amal, Muhammad Ikhlasul Amir Pada, Amir Andi Badli Rompegading Andi Ilham Latunra, Andi Ilham Andi Srimularahmah Anggitamaya, Anggitamaya April Artinanda Arisa Arisa, Arisa Armin Lawi Asgar, Asgar Asmaul Husna Azniah Basir, Sutrisman Deasy, Deasy Dedi Harianto Dedi Harianto Deni Noviana Dewi Fatmarani Surianto Endang Lestari Eva Harlina Evi Septiana Fajri S, Ahmad Febri Isnawati Fetri Yeni J Fitria Susanti Fitriani, Ika Gunanti . Harun, Ayu Rahayu Hasbi Hasnidar Hasnidar Hendra Kastiaji Hepti Muliyati Herman Irfandi, Rizal Iskandar, M. Fauzan Isra Miranda jelita, jelita Karma, Rudi karman karman Kemalasari, Andi Anggi Khaera Tunnisa, Khaera Lia Bayu Natasa Lutfiah Tri Syahyaningsih M. Hafis Galih P M. Risal Maharani, Putri Ayu Mahyuddin Maratuttahirah, Maratuttahirah Masdathul Ihzani Maya Nur Melisah Miftahulkhairah Miftahulkhairah, Miftahulkhairah Mirnawati Mirnawati Mohd Azmir Mohd Nizah Muh amin Muh. Amin Muh. Amin Muh. Yusuf Muh.Faisal Muhammad Isbar Pratama Muhammad Risal, Muhammad Muhlis Mukrimaturrezqi, Mukrimaturrezqi Muliana, Muliana Mutiara Felicita Amsal Nihla Afdaliah Nurcaya Nurcaya Nurul Fuady Adhalia H NURUL HIDAYAT Nurwahida Putri Wulandari, Putri Wulandari Putri, Anggita Rahman, Riswandi Rahmi, Ulfia Renita Multiani Repia Ratna Ridwan Andi Mattoliang Rio Rio Riswanti Riyan Septiano Rudi Karma S, Ahmad Fajri Sariana Sariana, Sariana Sarmila, Sarmila Sir, Muhammad Mochsen Siti Fadillah Siti Jubaidah Sri Asmira Sri Meike Jusup Sri Wahyuni Sri Wahyuni Syahriana Sabil Syahrituah Siregar Syaphira, Syaphira Syarifah Masita Tang, Muhammad Tuty Hertati Purba Ulviani, Maria Wa Mina La Isa Wahyuni Ekasasmita Warda Wahyuni Wiwin L. Husin Yeremia Anjasmara Riyanto Yetti Anita Yetti Anita