The paper builds mathematical models of individual dynamics of the index of mental types for the Hippocratic system. For each of them, dynamic features are studied in the case of stimuli of different magnitudes.
In the case of phlegmatics, it has been shown that despite the different initial conditions caused by environmental conditions, the value of the mental type index tends towards the value of phlegmatic equilibrium. In the mathematical model constructed for the dynamics of the mental type index of an individual with a choleric temperament, the equation contains several variables, which does not allow its separate solution. Moreover, the choleric temperament is not stable and, depending on environmental conditions, it can transition to a phlegmatic or melancholic state of equilibrium. In a discrete mathematical model for the dynamics of the mental index of an individual with a melancholic temperament, which is based on Moran's mathematical model, it is shown that the value of the melancholic mental index initially increases rapidly, and then slowly stabilizes towards an equilibrium value. When studying the dynamics of the mental type index of an individual with a sanguine temperament, the scaling features are taken into account. In this case, too, the equation contains several variables, which does not allow its separate solution. Moreover, the sanguine temperament is not stable and, depending on environmental conditions, it can transition to a melancholic equilibrium state.
