### Journals Information

Universal Journal of Public Health Vol. 10(5), pp. 547 - 553
DOI: 10.13189/ujph.2022.100512
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## Critical Illness Insurance Model for Breast Cancer Patients Based on Chemotherapy Responses

M. Ivan Ariful Fathoni 1,2,*, Gunardi 1, Fajar Adi-Kusumo 1, Susanna Hilda Hutajulu 3, Ibnu Purwanto 3
1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta, Indonesia
2 Department of Mathematics Education, Universitas Nahdlatul Ulama Sunan Giri, Bojonegoro, Indonesia

ABSTRACT

The insurance model in the form of Critical Illness (CI) is generally structured by a multi-state model that allows us to describe changes in insurance policies based on status changes experienced. The model in this study discusses the Markov process, which describes the critical illness insurance policy in each state for a continuous-time. Critical illness of breast cancer is modeled by several states consisting of is healthy or disease-free, is early cancer, is cancer increase after chemo, and is dead from cancer. This condition is based on the response to treatment after chemotherapy. The first steps in this study are to assign a function to the transition intensity from state to state and the transition probability. The transition probability of the multi-state model is the solution of the Kolmogorov forward differential equation. The following discussion is to create a formula for calculating the pure premium rate based on age intervals. A case study based on medical record data at dr.Sardjito Hospital is applied to calculate insurance premiums based on policies and age groups. A case study based on medical record data at dr.Sardjito Hospital is applied to calculate insurance premiums based on policies and age groups. The premium generated in this study is assumed to only depend on the number and time of state transfers. This insurance model can be an alternative to a more accurate insurance calculation based on the incidence of displacement of critically ill patients, especially breast cancer patients.

KEYWORDS
Critical Illness Insurance, Multi State Model, Breast Cancer, Pure Premium Rate, Chemotherapy

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] M. Ivan Ariful Fathoni , Gunardi , Fajar Adi-Kusumo , Susanna Hilda Hutajulu , Ibnu Purwanto , "Critical Illness Insurance Model for Breast Cancer Patients Based on Chemotherapy Responses," Universal Journal of Public Health, Vol. 10, No. 5, pp. 547 - 553, 2022. DOI: 10.13189/ujph.2022.100512.

(b). APA Format:
M. Ivan Ariful Fathoni , Gunardi , Fajar Adi-Kusumo , Susanna Hilda Hutajulu , Ibnu Purwanto (2022). Critical Illness Insurance Model for Breast Cancer Patients Based on Chemotherapy Responses. Universal Journal of Public Health, 10(5), 547 - 553. DOI: 10.13189/ujph.2022.100512.