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Focus on describing the transmission of infectious disease, this paper mainly develop a new model--SEICD. The model is based on the classic infectious disease model called SEIR. In of the characteristics of most infectious disease, we make a series of improvements in depth. By the improved model, we adapt graph theory to describe the complex relationships of the real society,simulate the population changing of different states in the model, and analyze the influence the relative infectiousness k in the situation of infectious diseases spread. Considered all above, a best critical relative infectiousness kc to distinguish whether the regions under epidemic stress can be under control can be got.

An Advanced Infectious Disease Spreading Model—SEICD and Its Simulation