Markov Chain Modeling and Interpolation of Stroke Morbidity-Mortality Tables using Constant Force Assumption
Stroke are major health challenges in Indonesia with morbidity and mortality rates influenced by age and gender. This study aims to model the and to construct a morbidity-mortality table based on age and gender. The method used is Continuous Time Multistate Markov Chain modeling with constant force assumption, combined with flow equations, orientation equations, and integration equations to form a decrement table. Transition probabilities are calculated using Kolmogorov's forward differential equation. The transition probability tables for morbidity-mortality for men and women are successfully formed. These tables can be detailed into monthly or even daily tables by adjusting h. This study reveals the dynamics of stroke risk and impact based on stroke type, age, and gender. Based on the study's findings, an earlier preventive approach is needed, especially for young people who are beginning to show stroke risk. Gender- and age-specific interventions are crucial, given the differences in risk and mortality patterns. Furthermore, managing stroke sequelae should be a priority in post-stroke rehabilitation. Further mathematical and medical studies are also needed to understand the mortality disparities between men and women due to different types of stroke.