A New Type of Exponential Curve and Its Application in the Tertiary Industry

This paper proposes an improved new exponential curve model based on the classical exponential curve and the modified exponential curve. System parameters of the new exponential curve are estimated by the nonlinear least squares method and the trust region algorithm. Furthermore, numerical examples are provided to validate and verify the accuracy of the new exponential curve model. Finally, the new model is applied to model and predict the tertiary industry in China. The computational results show that the proposed new exponential curve has higher precision than the others.