Full text can be accessed at http://www.ajol.info/index.php/just/article/view/33096Birth-death Markov models have been widely used in the study of natural and physical processes. The analysis of such processes, however, is mostly performed using time series analysis. In this report, a finite state birth‑death Markov process is analyzed using the z‑transform approach. The performance metrics of the system and their variation with the system parameters are then derived and presented.