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Based on ODE and ARIMA Modeling for the population of China
Journal article   Open access

Based on ODE and ARIMA Modeling for the population of China

Xiaohua Hu and Min Yu
Ji shu yu tou zi, v 4(1B), pp 27-27
01 Feb 2013
url
https://doi.org/10.4236/ti.2013.41b006View
Published, Version of Record (VoR)Open Access (License Unspecified) Open
url
https://doi.org/10.4236/ti.2013.41B006View
Published, Version of Record (VoR) Open

Abstract

China Differential equations Economics Integrals Investment Mathematical analysis Mathematical models Series (mathematics)
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 the corresponding mathematical model, to obtain the forecast data of the population of China in 2008(1.3879503 billion), finally we make further stability analysis.

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