 Grey Lotka–Volterra model and its applicationLifeng Wu, Sifeng Liu and Yinao Wang Technological Forecasting and Social Change, 2012, vol. 79, issue 9, 1720-1730 Abstract: The aim of this study is to analyze the long-term relationship between the two variables and to predict the values of two variables in the social system or economic system. Based on the grey modeling method, a grey Lotka–Volterra model is proposed, and a linear programming method is used to estimate the parameters of the grey Lotka–Volterra model under the criterion of the minimization of mean absolute percentage error (MAPE). The obtained simulation results have been verified by three cases: the study of research and development investment (R&D) and gross domestic product (GDP), the study of fixed assets investment (FAI) and the (CPI), the study of energy consumption and the GDP. Comparisons of the obtained results with the traditional grey model demonstrate that the grey Lotka–Volterra model is able to analyze the relationship between the two variables and predict the values of these variables effectively. Keywords: Grey system; Energy consumption and the gross domestic product; Research and development investment and gross domestic product; Fixed assets investment and consumer price index; Forecasting (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:tefoso:v:79:y:2012:i:9:p:1720-1730 DOI: 10.1016/j.techfore.2012.04.020 Access Statistics for this article Technological Forecasting and Social Change is currently edited by Fred Phillips More articles in Technological Forecasting and Social Change from Elsevier |
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