This research outlines the microbial and substrate interaction in a plug flow bioreactor system for effective utilization of the substrate by the microorganism. To achieve this mathematical models were developed to monitor, predict and simulate the interaction characteristics of the bioreactor using the functional parameters for interaction of microbial and substrate concentration in a plug flow reactor system. The MATLAB computer program language was used to determine the interaction relationship between the substrate and microbial concentration upon the influence of bioreactor volume, space time and discharge time. The characteristics of the behavior in terms of decrease in substrate concentration with increase in microbial concentrate revealed the interaction in the bioreactor with recycle.