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The economic data usually can be also composed into a deterministic part and a random part. We establish ordinary differential equations (ODE) model for the deterministic part from a purely mathematical point of view, via the principle of integral and difference, establishing ( ) ARIMA p d q , , model for the random part, to combine the two established models to predict and control the original series, then we apply the method to study the population of China from 1978 to 2007, establishing thedoi:10.4236/ti.2013.41b006 fatcat:dnfw6hllpnhsxi3no362tekdvm