Mathematical Modeling and Stability Analysis of Conflict among three Nations

Abstract

The main objective of t his research is to formulate a mathematical model that describes the conflict among three nations and to investigate its stability by taking into account their defense and restraint coefficient . In order to achieve the stated objective analytical method was employed. The result of the research indicated that the model was analyzed in terms of local stability condition by considering four different cases using Routh-Hurwitz stability criteria. Moreover, numerical examples were provided in order to verify the applicability of the research in all cases.