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The stability analysis of bank strategic alliances system based on Lotka-Volterra evolution model

Ren Zhengliang, Xu Hongnian, Xu Fei, Feng Xia


In this paper, we use Lotka-Volterra evolution model to analyze the stability of bank strategic alliances system formed by two banks. We expound the basic framework of Lotka-Volterra evolution model, and complete modeling based on five assumptions on bank strategic alliances. By analyzing the stability of four equilibrium points of the model, we find that there is only one stable equilibrium point, while the other three equilibrium points are all unstable. Through pointing out some economic implications of above conclusions from model analysis, we emphasize that it is consistent with our intuition and the reality of bank strategic alliances.


Bank strategic alliances system, Lotka-Volterra model, Evolution.

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