An Application of Differential Equations to Political Partisanship
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The current political climate suggests an overarching decrease in political partisanship in the United States. In order to test this theory, we will consider a differential equations model suited for two-group competition theory. We will first consider the model generally, addressing the stability of all possible equilibrium points that could be predicted. Then, using data on United States political partisanship versus non-partisanship, we find parameters for the model that form a best fit for the data. Finally, we use the model to project the trend towards or away from party identity, and determine whether it seems as though an eventual steady state will emerge.