Logistic Curve of N-th Order and Compund Growth Modeling

摘要：

A notion of generalized logistic curve (so-called logistic curve of N-th order) is introduced.The important property of this curve is existence of several points of inflection.This makes it applicable for analysis and forecasting many economical indices.For estimation of parameters of logistic curve of /V-th order a method is proposed which is analogue of the Rhodes method firstly proposed for simple logistic curve.It is shown that logistic curve of/V-th order is solution to a system of non-linear differential equations which may describe the compound growth in multi-level production system or dynamic behavior of trophic chain of a biological populations.

关键词： logistic curve of iV-th order points of inflection statistical estimation compound growth multibranch production set of nonlinear ODE

作者: Mykhaylo Ya.Postan

作者单位: Department Economics and Management Odessa National Maritime University (ONMU) Odessa,Ukraine

会议类型: 国际会议

会议名称: 2011 IEEE International Conference on Grey System and Intelligent Services Joint with the 15th WOSC International Congress on Cybernetics and System(2011 IEEE灰色系统与智能服务国际会议暨系统与控制世界组织第15届年会)

会议地点: 南京

会议语种:英文

页码: 928-931

在线出版日期: 2011-09-15（万方平台首次上网日期，不代表论文的发表时间）