The paper develops a mathematical model that can produce effective predictions on the possibility of an inter-plate earthquake in a particular region. A hypothetical model based on the dilatancy-diffusion principle which, by its experimental studies, has proven to be an important feature towards earthquake prediction. The purpose of the study is to develop a model backed up by mathematics to provide a comprehensive way of predicting earthquakes. Theoretical methods involving continuum mechanics are used to determine the critical viscosity between the plates at which the movement of the plates is susceptible to causing an earthquake. Such a prediction methodology based on mathematical techniques is thus dealt in the paper to predict all three important parameters of an earthquake - time, magnitude and place. The interpretations of the work might prove to take one step closer at solving the question of predicting earthquakes.