How do MoE models work?

Could you please explain in simple terms how Monetary Equilibrium (MoE) models operate? I'm particularly interested in understanding the mechanisms behind how these models are able to maintain a balance between the supply and demand of a currency, and how they factor in external economic forces that can potentially disrupt this equilibrium. Additionally, are there any real-world examples of MoE models being successfully implemented and their impacts on the stability of a nation's currency?