Social Stability and Mathematical Stability in Conflict Management

The future risk of water resources shortage is world widely recognized. Conflicts over ways of water utilization will happen more often in the future as water resources shortage becomes more sever. In this study, firstly, mathematical stabilities are summarized. Some mathematical theories are focused on in this study, such as game theory and differential equations. Secondly, a social conflict over regulation of the Ganges between India and Bangladesh is modeled with those mathematical theories. Thirdly, the possibility of conflict management for the India-Bangladesh conflict is analyzed considering with the concept of relationship of social stability and mathematical stability, which is summarized and conclude in the first part of this study.