Engineering problems are tedious and time consuming to solve manually due to higher complexity. Though the biological systems are very complex they are susceptible to engineering analysis. This forms the basis for bioprocess modeling optimization and simulation. In the microbial world mixed culture operations play a vital role. In such case interaction among them decides the output of the system and five patterns of interactions (namely neutralism, amensalism, competition, commensalism, mutualism, predation and parasitism) are observed so far. In the present work an innovative and unified approach is developed to characterize these patterns of interactions among microorganisms for two species interaction. The models were derived from experimental data in batch mode using CFTOOL kit and the differential equations were solved using ODE SOLVER in MATLAB 7.1. The simulation for continuous operations was carried out using C++ software and the interpretations are obtained using surface plots drawn using MINITAB.