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All Journal Jurnal Matematika AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan
I Made Eka Dwipayana
Universitas Udayana
Education Mathematics

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EFEKTIFKAH METODA PEMBANTAIAN DAN VAKSINASI DALAM MENANGGULANGI RABIES DI BALI ? Eka Dwipayana, I Made
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (135.419 KB)

Abstract

Rabies is a fatal zoonotic viral disease caused by a virus which attacks the central nervous tissue. According to the World Health Organization (WHO), every year as many as 55,000 people die because they were infected by rabies virus. It is estimated as many as 95% of the incident occurs in Africa and Asia. Almost 99% of the transmission of rabies virus to humans is caused by dogs. It required some efforts to halt the spread of rabies. Some of which is by vaccination and culling the dogs. A mathematical model is required to analyze those efforts so that they became optimal when they applied to the field. Dogs population can be divided become two compartment as healthy (X) and infected dogs ( ). The model will be analyzed using linearization method to determine the characteristics of the population dynamics of healthy and infected dogs. To strengthen the analytical results, will be simulated using Runga-Kutta 4th order method. The result of the research showed that vaccination and culling methods are less effective in eradicating rabies, but by doing a certain level of vaccination and culling level of dogs, the eradicating of rabies spreading still can be done as long as it meets certain criteria.
Nilai Cadangan Premi Pada Asuransi Kesehatan Individu Dengan Menggunakan Metode New Jersey dan Fackler Damayanti, Ni Kadek Vivin; Widana, I Nyoman; Eka Dwipayana, I Made
Jurnal Matematika Vol 13 No 2 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i02.p165

Abstract

Hospital individual healthcare insurance is a type of insurance that offers health benefits to insurance participants to cover the cost of hospitalization and medical treatment if they get sick. Premiums paid by insurance participants will be managed by the insurance company to fund the health costs of the insured. An insurance company's obligation to pay an amount of money that must be set aside by the insurance company at a later date is called a premium reserve. This research was conducted with the aim of finding out how much the premium reserves for individual health insurance are using the New Jersey and Fackler methods with a coverage period of 25 years assisted by the Indonesian Mortality Table IV. Using Fackler method the results of calculating premium of individual health insurance using Fackler method for participants aged 15th, 36th and 40th respectively and , with a compensation amount of . Besides this, the amount of reserves increased from the first year to the 19th year and decreased from the 20th year to the 25th year. In addition, it should be noted that the reserve value at the end of the t-year calculated using the New Jersey method is always smaller than the reserve value calculated using the Fackler method, for Keywords: Individual Health Insurance, Premium Reserve, New Jersey, Fackler
Co-Authors Damayanti, Ni Kadek Vivin I Nyoman Widana