Davood Salmani - PhD Faculty member of Tehran University

In this study after comparing charismatic leadership with Erosmatic leadership or leadership based on love and affection, we will name the leadership based on love and affection "EROSMATIC" the optimum leadership and through systematic perspectives, we will mathematically and statistically review it. After this review, three formulas are offered. The first formula with applying practicable contingent, statistics and properties of the Markov chain, will investigate and predict the contingent amount of the leaders success in effecting subordinates and the amount of expressed love and affection "EROSMATIC" of the subordinates towards the leaders (Contingently). The second formula by applying simple Differential equations will calculate the amount of the leaders influence on subordinates considering the pass of time. At the end of this study, the interaction point between leader and subordinates will be reviewed and after mathematical analyzing the reached conclusion will be described.