Markov Chain Analysis of Customer Loyalty in the Telecommunications Industry in Enugu State

Customer churn represents one of the foremost strategic challenges for telecommunications operators in Nigeria, where intense market competition among major service providers has intensified subscriber switching behaviour. This study employs Markov chain analysis to model customer loyalty and predict transition probabilities among three leading mobile network operators in Enugu State, South East Nigeria. Survey data were collected from 350 mobile subscribers across Enugu metropolis, capturing their current network allegiance and prior switching behaviour over a 24-month period. Transition probability matrices are constructed from the observed switching frequencies, and the Chapman-Kolmogorov equations are used to project market share dynamics over a five-year horizon. Steady-state probabilities are computed to identify the long-run equilibrium market shares under current transition conditions. Results indicate that if prevailing switching patterns persist, one operator is projected to gain a dominant long-run share of approximately 47 percent, while another faces gradual market erosion to below 18 percent. The study identifies price sensitivity, network quality, and customer service responsiveness as the primary drivers of switching decisions based on qualitative survey responses. Recommendations for retention strategies are presented for each operator based on their specific transition vulnerabilities. This research offers telecommunications firms in the South East zone a quantitative framework for anticipating competitive dynamics and designing targeted loyalty programmes. Keywords: Markov chain, customer loyalty, telecommunications, Enugu State, transition probability