Dynamics and Stability Analysis of Party Switching in Politics of Nigeria

Abstract

Democratic consolidations in Nigeria have been hampered by the incessant decamping of political office holders and gladiators. In an attempt to provide a theoretical basis to study the dynamics of party switching in Nigeria, we formulate a new deterministic compartmental model. We prove the positivity of solutions of the model, conduct the stability analysis via the principle of stability of nonlinear differential equations and carry out simulations to verify the theoretical results. Findings from the simulation show that political office holders lose their places in the hearts of the electorates when they fail to deliver electoral promises which prompts party defection.