Bootstrap Percolation Model in International Trade Network

Based on the features of international trade network, this paper proposes a basic model of bootstrap percolation to simulate cascading process of crisis propagation. Two general models, proportion model and GDP model, are derived from the basic model. According to different transmission modes, the affected countries are classified into four types and specific propagation processes are explored. Simulation results show that the vast majority of affected countries occur phase transition phenomenon with the threshold Ω. Comparing the threshold Ω in phase transition point of different sources countries, we can obtain their relative crisis consequences. For a given parameter Ω, we discuss the specific transmission and their scope. Results reflect the rationality of this model.