A new grey Verhulst model and its application

Based on the analysis of present grey Verhulst model, we use trapezoid formula to whiten the grey derivative item and educe a new grey Verhulst model, causing a better uniformity of parameters between the difference equation and differential equation in the grey model. The result indicates that the new modeling method proposed in this paper enhanced the grey derivative’s accuracy as well as the model’s precision of simulation and forecasting.