Articlediamond2012

Banking System: Three level Lotka-Volterra Model

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Banking stability, regulation, efficiency Mathematical and Theoretical Epidemiology and Ecology Models Complex Systems and Time Series Analysis

Abstract

In ecological systems we have univoc biomass transfer from Herbivorous to Carnivores, and from Plants to Herbivorous, respective in financial system we have biunivoc capital transfer from Mother Bank to Subsidiary Bank, and from Subsidiary Bank to Individ- uals or Companies; in our approach we study the Individuals suppliers/clients. Three level Lotka-Volterra TLV model is a system of differential equations which analyzes the banking. Three Lotka-Volterra with regulators/decompozers - TLVRS is a system of stochastic differential equations that analyze the equilibrium of banking sector - solution of Fokker-Planck-Kolmogorov stochastic equation in idea to find the dinamical equilibrum point for the Banking System.

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