Markov Models are used to model systems that evolve in time. Markov models are applied to a major expanse in different fields such as man-machine interaction, man power systems, computer sciences, medicine, education, chemistry, engineering, and others.
Discrete and Continuous time Markov chains are the more effective types of Markov Model which used in many applications especially continuous time markov chains are frequently used in the medical researches.
Coronary Artery Disease (CAD) is a chronic disease which regard the main cause for death in the world. A proposed model is introduced to study coronary artery disease which includes four illness states and death state. This proposed model is governed by the transition intensity matrix Q.
CAD Model is applied to a random sample of Kalubeya governorate, then Q matrix is defined for the model and, the maximum likelihood is calculated for CAD Model and for each covariate, transition probability matrix, mean sojourn times, total length of stay, expected numbers of visits and survival plots.
The results of this study are an indicator for the widespread of CAD in Kalubeya governorate. The results showed the dangerous of this disease and most of patients move to severe states with time.