study of a nonlinear election model with three parties

Studies have shown a lot of countries have dual political parties. it is clear that each party is associated with its own ideologies, but there are many people who have positions on economic and social issues that fall into none of the mainstream party platforms. our interest subject in this study is related to how recruitment from one party into another impacts an election. especially, there is a growing third-party presence in the 2021 election (iran). a nonlinear compartmental model is considered to study the movement between groups of voters. this system’s dynamical behavior of equilibria is analyzed when the parameters of the net shift between parties vary.