Several advantages have resulted from applying mathematical models to the experimental analysis of behavioral biometrics. This has led to the formation of a new scientific field. This is because both of these pursuits have relied heavily on mathematical models. In particular, it enables behavioral identification. Numerous mathematical models can today make predictions for large data sets that are comparable to one another in terms of accuracy. If the two models are not mathematically equivalent, different predictive assumptions may have been made about the psychological processes underlying behavior. For this reason, competing models must discover and investigate various predictive situations. Research in other areas of psychology has also focused on the mathematical models developed during the study of fundamental systems for determining the biometric transition of behavior. The models can both anticipate and control actual behavior. Using a mathematical model can shed light on the connections between phenomena that appear unrelated at first glance. Psychologists have quantitative skills and can tolerate mathematical equations, but the primary components of mathematical models of behavioral biometrics (verbal similarities, pictorial representations, and concrete examples) have no interdependence. Psychologists possess a unique combination of quantitative training and subject tolerance. Identify them. Moreover, selecting the optimal algorithm, mathematical models, and other methods.